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GCF of 9051/972, 4400/9468

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 9051/972, 4400/9468 i.e 1/255636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9051/972, 4400/9468.

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 9051/972,4400/9468?

Given fractions are 9051/972,4400/9468

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 9051/972,4400/9468, numerators are 9051,4400

Denominators are 972,9468

The GCF of 9051,4400 is 1 .

LCM of 972,9468 is 255636.

The greatest common factor of 9051/972,4400/9468 = [GCF of 9051,4400]/[LCM of 972,9468]= 1/255636

Therefore, the GCF of 9051/972,4400/9468 is 1/255636.

Greatest Common Factor of 9051,4400

To find the highest common factor of 9051,4400, we have to find the factors of both numbers and list the highest common factor.

The factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051

The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

The HCF of 9051,4400 is 1.

Lets's calculate GCF of 9051,4400

Greatest Common Factor (GCF) of 9051,4400 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9051,4400 By Matching Biggest Common Factor Method

Greatest Common Factor of 9051,4400 By Matching Biggest Common Factor Method

Now, list down the factors of 9051

:

1,3,7,21,431,1293,3017,9051

Now, list down the factors of 4400

:

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Greatest Common Factor

We found the factors 9051,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 9051,4400 is 1.


Lets's calculate LCM of 972,9468

Lowest Common Multiple of 972,9468 using Common Division

2 972, 9468
2 486, 4734
3 243, 2367
3 81, 789
27, 263

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 27 x 263 = 255636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255636

Therefore, the GCF of Fractions 9051/972,4400/9468 is 1/255636

Least Common Multiple of 972,9468 with GCF Formula

Least Common Multiple of 972,9468 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 972,9468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,9468) = 36

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

GCF(972,9468) x common factors =36 x 1 = 36

LCM(972,9468) = ( 972 × 9468 ) / 36

LCM(972,9468) = 9202896 / 36

LCM(972,9468) = 255636


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9051/972, 4400/9468

1. What is the HCF of 9051,4400?

The HCF of 9051,4400 is 1

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 9051/972, 4400/9468?

Answer: GCF of Numerators as per given numbers 9051/972, 4400/9468 is

GCF of Numerators i.e. for 9051,4400 is 1

LCM of denominators i.e. for 972,9468 is 255636.

Thus, GCF of Fractions is 1/255636.Finally, GCF of Fractions for 9051/972, 4400/9468 is 1/255636.