Greatest Common Factor of 4452/84, 9624/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4452/84, 9624/697

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 4452/84,9624/697

Given fractions are 4452/84,9624/697

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4452,9624

Greatest Common Factor of Numerators i.e. GCF of 4452,9624 is 12 .

LCM of Denominators means LCM of 84,697 as per the given fractions.

LCM of 84,697 is 58548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4452,9624

GCF of Fractions 4452/84,9624/697 is 12/58548

2 4452, 9624
2 2226, 4812
3 1113, 2406
371, 802

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 4452,9624 By Matching Biggest Common Factor Method

Greatest Common Factor of 4452,9624 By Matching Biggest Common Factor Method

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624

Greatest Common Factor

We found the factors 4452,9624 . The biggest common factor number is the GCF number.
So the greatest common factor 4452,9624 is 12.

Lets's calculate LCM of 84,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 58548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/58548

Therefore, the GCF of Fractions 4452/84,9624/697 is 12/58548

Least Common Multiple of 84,697 with GCF Formula

Least Common Multiple of 84,697 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 84,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,697) = 1

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

GCF(84,697) x common factors =1 x 1 = 1

LCM(84,697) = ( 84 × 697 ) / 1

LCM(84,697) = 58548 / 1

LCM(84,697) = 58548


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4452/84, 9624/697

1. 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.

2. What is the GCF of Fractions for 4452/84, 9624/697?

Answer: GCF of Numerators as per given numbers 4452/84, 9624/697 is

GCF of Numerators i.e. for 4452,9624 is 12

LCM of denominators i.e. for 84,697 is 58548.

Thus, GCF of Fractions is 12/58548.Finally, GCF of Fractions for 4452/84, 9624/697 is 12/58548.