Greatest Common Factor of 894/60, 457/71, 748/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/60, 457/71, 748/308

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 894/60,457/71,748/308

Given fractions are 894/60,457/71,748/308

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 894,457,748

Greatest Common Factor of Numerators i.e. GCF of 894,457,748 is 1 .

LCM of Denominators means LCM of 60,71,308 as per the given fractions.

LCM of 60,71,308 is 328020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,457,748

GCF of Fractions 894/60,457/71,748/308 is 1/328020

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

Greatest Common Factor of 894,457,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,457,748 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 894,457,748 . The biggest common factor number is the GCF number.
So the greatest common factor 894,457,748 is 1.

Lets's calculate LCM of 60,71,308

2 60, 71, 308
2 30, 71, 154
15, 71, 77

∴ So the LCM of the given numbers is 2 x 2 x 15 x 71 x 77 = 328020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328020

Therefore, the GCF of Fractions 894/60,457/71,748/308 is 1/328020

Least Common Multiple of 60,71,308 with GCF Formula

Least Common Multiple of 60,71,308 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 60,71,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,71,308) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(60,71,308) x common factors =1 x 4 = 4

LCM(60,71,308) = ( 60 × 71 × 308 ) / 4

LCM(60,71,308) = 1312080 / 4

LCM(60,71,308) = 328020


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 894/60, 457/71, 748/308

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 894/60, 457/71, 748/308?

Answer: GCF of Numerators as per given numbers 894/60, 457/71, 748/308 is

GCF of Numerators i.e. for 894,457,748 is 1

LCM of denominators i.e. for 60,71,308 is 328020.

Thus, GCF of Fractions is 1/328020.Finally, GCF of Fractions for 894/60, 457/71, 748/308 is 1/328020.