Greatest Common Factor of 92/36, 78/74, 21/84, 98/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/36, 78/74, 21/84, 98/175

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 92/36,78/74,21/84,98/175

Given fractions are 92/36,78/74,21/84,98/175

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 92,78,21,98

Greatest Common Factor of Numerators i.e. GCF of 92,78,21,98 is 1 .

LCM of Denominators means LCM of 36,74,84,175 as per the given fractions.

LCM of 36,74,84,175 is 233100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,78,21,98

GCF of Fractions 92/36,78/74,21/84,98/175 is 1/233100

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

Greatest Common Factor of 92,78,21,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,78,21,98 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 21

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

1,3,7,21

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 92,78,21,98 . The biggest common factor number is the GCF number.
So the greatest common factor 92,78,21,98 is 1.

Lets's calculate LCM of 36,74,84,175

2 36, 74, 84, 175
2 18, 37, 42, 175
3 9, 37, 21, 175
7 3, 37, 7, 175
3, 37, 1, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 37 x 1 x 25 = 233100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233100

Therefore, the GCF of Fractions 92/36,78/74,21/84,98/175 is 1/233100

Least Common Multiple of 36,74,84,175 with GCF Formula

Least Common Multiple of 36,74,84,175 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 36,74,84,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,74,84,175) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(36,74,84,175) x common factors =1 x 168 = 168

LCM(36,74,84,175) = ( 36 × 74 × 84 × 175 ) / 168

LCM(36,74,84,175) = 39160800 / 168

LCM(36,74,84,175) = 233100


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 92/36, 78/74, 21/84, 98/175

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 92/36, 78/74, 21/84, 98/175?

Answer: GCF of Numerators as per given numbers 92/36, 78/74, 21/84, 98/175 is

GCF of Numerators i.e. for 92,78,21,98 is 1

LCM of denominators i.e. for 36,74,84,175 is 233100.

Thus, GCF of Fractions is 1/233100.Finally, GCF of Fractions for 92/36, 78/74, 21/84, 98/175 is 1/233100.