Greatest Common Factor of 23/94, 21/37, 754/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/94, 21/37, 754/682

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 23/94,21/37,754/682

Given fractions are 23/94,21/37,754/682

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 23,21,754

Greatest Common Factor of Numerators i.e. GCF of 23,21,754 is 1 .

LCM of Denominators means LCM of 94,37,682 as per the given fractions.

LCM of 94,37,682 is 1185998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,21,754

GCF of Fractions 23/94,21/37,754/682 is 1/1185998

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

Greatest Common Factor of 23,21,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,21,754 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 23,21,754 . The biggest common factor number is the GCF number.
So the greatest common factor 23,21,754 is 1.

Lets's calculate LCM of 94,37,682

2 94, 37, 682
47, 37, 341

∴ So the LCM of the given numbers is 2 x 47 x 37 x 341 = 1185998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1185998

Therefore, the GCF of Fractions 23/94,21/37,754/682 is 1/1185998

Least Common Multiple of 94,37,682 with GCF Formula

Least Common Multiple of 94,37,682 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 94,37,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,37,682) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,37,682) x common factors =1 x 2 = 2

LCM(94,37,682) = ( 94 × 37 × 682 ) / 2

LCM(94,37,682) = 2371996 / 2

LCM(94,37,682) = 1185998


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 23/94, 21/37, 754/682

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 23/94, 21/37, 754/682?

Answer: GCF of Numerators as per given numbers 23/94, 21/37, 754/682 is

GCF of Numerators i.e. for 23,21,754 is 1

LCM of denominators i.e. for 94,37,682 is 1185998.

Thus, GCF of Fractions is 1/1185998.Finally, GCF of Fractions for 23/94, 21/37, 754/682 is 1/1185998.