Greatest Common Factor of 5/69, 74/35, 66/610, 254/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/69, 74/35, 66/610, 254/760

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 5/69,74/35,66/610,254/760

Given fractions are 5/69,74/35,66/610,254/760

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 5,74,66,254

Greatest Common Factor of Numerators i.e. GCF of 5,74,66,254 is 1 .

LCM of Denominators means LCM of 69,35,610,760 as per the given fractions.

LCM of 69,35,610,760 is 22391880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,74,66,254

GCF of Fractions 5/69,74/35,66/610,254/760 is 1/22391880

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5,74,66,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,74,66,254 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 5,74,66,254 . The biggest common factor number is the GCF number.
So the greatest common factor 5,74,66,254 is 1.

Lets's calculate LCM of 69,35,610,760

2 69, 35, 610, 760
5 69, 35, 305, 380
69, 7, 61, 76

∴ So the LCM of the given numbers is 2 x 5 x 69 x 7 x 61 x 76 = 22391880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22391880

Therefore, the GCF of Fractions 5/69,74/35,66/610,254/760 is 1/22391880

Least Common Multiple of 69,35,610,760 with GCF Formula

Least Common Multiple of 69,35,610,760 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 69,35,610,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,35,610,760) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(69,35,610,760) x common factors =1 x 50 = 50

LCM(69,35,610,760) = ( 69 × 35 × 610 × 760 ) / 50

LCM(69,35,610,760) = 1119594000 / 50

LCM(69,35,610,760) = 22391880


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 5/69, 74/35, 66/610, 254/760

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 5/69, 74/35, 66/610, 254/760?

Answer: GCF of Numerators as per given numbers 5/69, 74/35, 66/610, 254/760 is

GCF of Numerators i.e. for 5,74,66,254 is 1

LCM of denominators i.e. for 69,35,610,760 is 22391880.

Thus, GCF of Fractions is 1/22391880.Finally, GCF of Fractions for 5/69, 74/35, 66/610, 254/760 is 1/22391880.