Greatest Common Factor of 3762/74, 5304/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3762/74, 5304/869

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 3762/74,5304/869

Given fractions are 3762/74,5304/869

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 3762,5304

Greatest Common Factor of Numerators i.e. GCF of 3762,5304 is 6 .

LCM of Denominators means LCM of 74,869 as per the given fractions.

LCM of 74,869 is 64306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3762,5304

GCF of Fractions 3762/74,5304/869 is 6/64306

2 3762, 5304
3 1881, 2652
627, 884

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3762,5304 By Matching Biggest Common Factor Method

Greatest Common Factor of 3762,5304 By Matching Biggest Common Factor Method

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Factors of 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304

Greatest Common Factor

We found the factors 3762,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 3762,5304 is 6.

Lets's calculate LCM of 74,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 64306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/64306

Therefore, the GCF of Fractions 3762/74,5304/869 is 6/64306

Least Common Multiple of 74,869 with GCF Formula

Least Common Multiple of 74,869 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 74,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,869) = 1

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

GCF(74,869) x common factors =1 x 1 = 1

LCM(74,869) = ( 74 × 869 ) / 1

LCM(74,869) = 64306 / 1

LCM(74,869) = 64306


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 3762/74, 5304/869

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 3762/74, 5304/869?

Answer: GCF of Numerators as per given numbers 3762/74, 5304/869 is

GCF of Numerators i.e. for 3762,5304 is 6

LCM of denominators i.e. for 74,869 is 64306.

Thus, GCF of Fractions is 6/64306.Finally, GCF of Fractions for 3762/74, 5304/869 is 6/64306.