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 9918/412, 5601/4571

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 9918/412, 5601/4571 i.e 3/1883252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9918/412, 5601/4571.

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 9918/412,5601/4571?

Given fractions are 9918/412,5601/4571

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 9918/412,5601/4571, numerators are 9918,5601

Denominators are 412,4571

The GCF of 9918,5601 is 3 .

LCM of 412,4571 is 1883252.

The greatest common factor of 9918/412,5601/4571 = [GCF of 9918,5601]/[LCM of 412,4571]= 3/1883252

Therefore, the GCF of 9918/412,5601/4571 is 3/1883252.

Greatest Common Factor of 9918,5601

To find the highest common factor of 9918,5601, we have to find the factors of both numbers and list the highest common factor.

The factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918

The factors of 5601 are 1, 3, 1867, 5601

The HCF of 9918,5601 is 3.

Lets's calculate GCF of 9918,5601

Greatest Common Factor (GCF) of 9918,5601 By Common Division

3 9918, 5601
3306, 1867

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9918,5601 By Matching Biggest Common Factor Method

Greatest Common Factor of 9918,5601 By Matching Biggest Common Factor Method

Now, list down the factors of 9918

:

1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918

Now, list down the factors of 5601

:

1,3,1867,5601

Greatest Common Factor

We found the factors 9918,5601 . The biggest common factor number is the GCF number.
So the greatest common factor 9918,5601 is 3.


Lets's calculate LCM of 412,4571

Lowest Common Multiple of 412,4571 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1883252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1883252

Therefore, the GCF of Fractions 9918/412,5601/4571 is 3/1883252

Least Common Multiple of 412,4571 with GCF Formula

Least Common Multiple of 412,4571 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 412,4571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,4571) = 1

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

GCF(412,4571) x common factors =1 x 1 = 1

LCM(412,4571) = ( 412 × 4571 ) / 1

LCM(412,4571) = 1883252 / 1

LCM(412,4571) = 1883252


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9918/412, 5601/4571

1. What is the HCF of 9918,5601?

The HCF of 9918,5601 is 3

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 9918/412, 5601/4571?

Answer: GCF of Numerators as per given numbers 9918/412, 5601/4571 is

GCF of Numerators i.e. for 9918,5601 is 3

LCM of denominators i.e. for 412,4571 is 1883252.

Thus, GCF of Fractions is 3/1883252.Finally, GCF of Fractions for 9918/412, 5601/4571 is 3/1883252.