Greatest Common Factor of 374/845, 818/103, 760/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 374/845, 818/103, 760/208

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 374/845,818/103,760/208

Given fractions are 374/845,818/103,760/208

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 374,818,760

Greatest Common Factor of Numerators i.e. GCF of 374,818,760 is 2 .

LCM of Denominators means LCM of 845,103,208 as per the given fractions.

LCM of 845,103,208 is 1392560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 374,818,760

GCF of Fractions 374/845,818/103,760/208 is 2/1392560

2 374, 818, 760
187, 409, 380

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

Greatest Common Factor of 374,818,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,818,760 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 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 374,818,760 . The biggest common factor number is the GCF number.
So the greatest common factor 374,818,760 is 2.

Lets's calculate LCM of 845,103,208

13 845, 103, 208
65, 103, 16

∴ So the LCM of the given numbers is 13 x 65 x 103 x 16 = 1392560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1392560

Therefore, the GCF of Fractions 374/845,818/103,760/208 is 2/1392560

Least Common Multiple of 845,103,208 with GCF Formula

Least Common Multiple of 845,103,208 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 845,103,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,103,208) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(845,103,208) x common factors =1 x 13 = 13

LCM(845,103,208) = ( 845 × 103 × 208 ) / 13

LCM(845,103,208) = 18103280 / 13

LCM(845,103,208) = 1392560


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 374/845, 818/103, 760/208

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 374/845, 818/103, 760/208?

Answer: GCF of Numerators as per given numbers 374/845, 818/103, 760/208 is

GCF of Numerators i.e. for 374,818,760 is 2

LCM of denominators i.e. for 845,103,208 is 1392560.

Thus, GCF of Fractions is 2/1392560.Finally, GCF of Fractions for 374/845, 818/103, 760/208 is 2/1392560.