Greatest Common Factor of 1210/924, 7474/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1210/924, 7474/324

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 1210/924,7474/324

Given fractions are 1210/924,7474/324

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 1210,7474

Greatest Common Factor of Numerators i.e. GCF of 1210,7474 is 2 .

LCM of Denominators means LCM of 924,324 as per the given fractions.

LCM of 924,324 is 24948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1210,7474

GCF of Fractions 1210/924,7474/324 is 2/24948

2 1210, 7474
605, 3737

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

Greatest Common Factor of 1210,7474 By Matching Biggest Common Factor Method

Greatest Common Factor of 1210,7474 By Matching Biggest Common Factor Method

Factors of 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1,2,5,10,11,22,55,110,121,242,605,1210

Factors of 7474

List of positive integer factors of 7474 that divides 7474 without a remainder.

1,2,37,74,101,202,3737,7474

Greatest Common Factor

We found the factors 1210,7474 . The biggest common factor number is the GCF number.
So the greatest common factor 1210,7474 is 2.

Lets's calculate LCM of 924,324

2 924, 324
2 462, 162
3 231, 81
77, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 77 x 27 = 24948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24948

Therefore, the GCF of Fractions 1210/924,7474/324 is 2/24948

Least Common Multiple of 924,324 with GCF Formula

Least Common Multiple of 924,324 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 924,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,324) = 12

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

GCF(924,324) x common factors =12 x 1 = 12

LCM(924,324) = ( 924 × 324 ) / 12

LCM(924,324) = 299376 / 12

LCM(924,324) = 24948


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 1210/924, 7474/324

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 1210/924, 7474/324?

Answer: GCF of Numerators as per given numbers 1210/924, 7474/324 is

GCF of Numerators i.e. for 1210,7474 is 2

LCM of denominators i.e. for 924,324 is 24948.

Thus, GCF of Fractions is 2/24948.Finally, GCF of Fractions for 1210/924, 7474/324 is 2/24948.