Greatest Common Factor of 93/78, 14/90, 971/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/78, 14/90, 971/508

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 93/78,14/90,971/508

Given fractions are 93/78,14/90,971/508

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 93,14,971

Greatest Common Factor of Numerators i.e. GCF of 93,14,971 is 1 .

LCM of Denominators means LCM of 78,90,508 as per the given fractions.

LCM of 78,90,508 is 297180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,14,971

GCF of Fractions 93/78,14/90,971/508 is 1/297180

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

Greatest Common Factor of 93,14,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,14,971 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 93,14,971 . The biggest common factor number is the GCF number.
So the greatest common factor 93,14,971 is 1.

Lets's calculate LCM of 78,90,508

2 78, 90, 508
3 39, 45, 254
13, 15, 254

∴ So the LCM of the given numbers is 2 x 3 x 13 x 15 x 254 = 297180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297180

Therefore, the GCF of Fractions 93/78,14/90,971/508 is 1/297180

Least Common Multiple of 78,90,508 with GCF Formula

Least Common Multiple of 78,90,508 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 78,90,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,90,508) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,90,508) x common factors =2 x 6 = 12

LCM(78,90,508) = ( 78 × 90 × 508 ) / 12

LCM(78,90,508) = 3566160 / 12

LCM(78,90,508) = 297180


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 93/78, 14/90, 971/508

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 93/78, 14/90, 971/508?

Answer: GCF of Numerators as per given numbers 93/78, 14/90, 971/508 is

GCF of Numerators i.e. for 93,14,971 is 1

LCM of denominators i.e. for 78,90,508 is 297180.

Thus, GCF of Fractions is 1/297180.Finally, GCF of Fractions for 93/78, 14/90, 971/508 is 1/297180.