LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 9906/753, 1100/2604

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 9906/753, 1100/2604 i.e 2/653604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9906/753, 1100/2604.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9906/753,1100/2604?

Given fractions are 9906/753,1100/2604

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9906/753,1100/2604, numerators are 9906,1100

Denominators are 753,2604

The GCF of 9906,1100 is 2 .

LCM of 753,2604 is 653604.

The greatest common factor of 9906/753,1100/2604 = [GCF of 9906,1100]/[LCM of 753,2604]= 2/653604

Therefore, the GCF of 9906/753,1100/2604 is 2/653604.

Greatest Common Factor of 9906,1100

To find the highest common factor of 9906,1100, we have to find the factors of both numbers and list the highest common factor.

The factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906

The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100

The HCF of 9906,1100 is 2.

Lets's calculate GCF of 9906,1100

Greatest Common Factor (GCF) of 9906,1100 By Common Division

2 9906, 1100
4953, 550

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9906,1100 By Matching Biggest Common Factor Method

Greatest Common Factor of 9906,1100 By Matching Biggest Common Factor Method

Now, list down the factors of 9906

:

1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906

Now, list down the factors of 1100

:

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Greatest Common Factor

We found the factors 9906,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 9906,1100 is 2.


Lets's calculate LCM of 753,2604

Lowest Common Multiple of 753,2604 using Common Division

3 753, 2604
251, 868

∴ So the LCM of the given numbers is 3 x 251 x 868 = 653604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/653604

Therefore, the GCF of Fractions 9906/753,1100/2604 is 2/653604

Least Common Multiple of 753,2604 with GCF Formula

Least Common Multiple of 753,2604 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 753,2604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,2604) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(753,2604) x common factors =3 x 1 = 3

LCM(753,2604) = ( 753 × 2604 ) / 3

LCM(753,2604) = 1960812 / 3

LCM(753,2604) = 653604


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9906/753, 1100/2604

1. What is the HCF of 9906,1100?

The HCF of 9906,1100 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9906/753, 1100/2604?

Answer: GCF of Numerators as per given numbers 9906/753, 1100/2604 is

GCF of Numerators i.e. for 9906,1100 is 2

LCM of denominators i.e. for 753,2604 is 653604.

Thus, GCF of Fractions is 2/653604.Finally, GCF of Fractions for 9906/753, 1100/2604 is 2/653604.