Greatest Common Factor of 3/78, 84/74, 84/404, 527/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/78, 84/74, 84/404, 527/236

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 3/78,84/74,84/404,527/236

Given fractions are 3/78,84/74,84/404,527/236

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 3,84,84,527

Greatest Common Factor of Numerators i.e. GCF of 3,84,84,527 is 1 .

LCM of Denominators means LCM of 78,74,404,236 as per the given fractions.

LCM of 78,74,404,236 is 34395348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,84,84,527

GCF of Fractions 3/78,84/74,84/404,527/236 is 1/34395348

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

Greatest Common Factor of 3,84,84,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,84,84,527 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 3,84,84,527 . The biggest common factor number is the GCF number.
So the greatest common factor 3,84,84,527 is 1.

Lets's calculate LCM of 78,74,404,236

2 78, 74, 404, 236
2 39, 37, 202, 118
39, 37, 101, 59

∴ So the LCM of the given numbers is 2 x 2 x 39 x 37 x 101 x 59 = 34395348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34395348

Therefore, the GCF of Fractions 3/78,84/74,84/404,527/236 is 1/34395348

Least Common Multiple of 78,74,404,236 with GCF Formula

Least Common Multiple of 78,74,404,236 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 78,74,404,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,74,404,236) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(78,74,404,236) x common factors =2 x 8 = 16

LCM(78,74,404,236) = ( 78 × 74 × 404 × 236 ) / 16

LCM(78,74,404,236) = 550325568 / 16

LCM(78,74,404,236) = 34395348


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 3/78, 84/74, 84/404, 527/236

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 3/78, 84/74, 84/404, 527/236?

Answer: GCF of Numerators as per given numbers 3/78, 84/74, 84/404, 527/236 is

GCF of Numerators i.e. for 3,84,84,527 is 1

LCM of denominators i.e. for 78,74,404,236 is 34395348.

Thus, GCF of Fractions is 1/34395348.Finally, GCF of Fractions for 3/78, 84/74, 84/404, 527/236 is 1/34395348.