Greatest Common Factor of 374/32, 812/65, 696/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 374/32, 812/65, 696/290

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 374/32,812/65,696/290

Given fractions are 374/32,812/65,696/290

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 374,812,696

Greatest Common Factor of Numerators i.e. GCF of 374,812,696 is 2 .

LCM of Denominators means LCM of 32,65,290 as per the given fractions.

LCM of 32,65,290 is 60320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 374,812,696

GCF of Fractions 374/32,812/65,696/290 is 2/60320

2 374, 812, 696
187, 406, 348

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

Greatest Common Factor of 374,812,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,812,696 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 374,812,696 . The biggest common factor number is the GCF number.
So the greatest common factor 374,812,696 is 2.

Lets's calculate LCM of 32,65,290

2 32, 65, 290
5 16, 65, 145
16, 13, 29

∴ So the LCM of the given numbers is 2 x 5 x 16 x 13 x 29 = 60320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60320

Therefore, the GCF of Fractions 374/32,812/65,696/290 is 2/60320

Least Common Multiple of 32,65,290 with GCF Formula

Least Common Multiple of 32,65,290 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 32,65,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,65,290) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(32,65,290) x common factors =1 x 10 = 10

LCM(32,65,290) = ( 32 × 65 × 290 ) / 10

LCM(32,65,290) = 603200 / 10

LCM(32,65,290) = 60320


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 374/32, 812/65, 696/290

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 374/32, 812/65, 696/290?

Answer: GCF of Numerators as per given numbers 374/32, 812/65, 696/290 is

GCF of Numerators i.e. for 374,812,696 is 2

LCM of denominators i.e. for 32,65,290 is 60320.

Thus, GCF of Fractions is 2/60320.Finally, GCF of Fractions for 374/32, 812/65, 696/290 is 2/60320.