Greatest Common Factor of 5/62, 75/34, 28/392, 670/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/62, 75/34, 28/392, 670/498

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 5/62,75/34,28/392,670/498

Given fractions are 5/62,75/34,28/392,670/498

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 5,75,28,670

Greatest Common Factor of Numerators i.e. GCF of 5,75,28,670 is 1 .

LCM of Denominators means LCM of 62,34,392,498 as per the given fractions.

LCM of 62,34,392,498 is 51439416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,75,28,670

GCF of Fractions 5/62,75/34,28/392,670/498 is 1/51439416

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

Greatest Common Factor of 5,75,28,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,75,28,670 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 5,75,28,670 . The biggest common factor number is the GCF number.
So the greatest common factor 5,75,28,670 is 1.

Lets's calculate LCM of 62,34,392,498

2 62, 34, 392, 498
31, 17, 196, 249

∴ So the LCM of the given numbers is 2 x 31 x 17 x 196 x 249 = 51439416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51439416

Therefore, the GCF of Fractions 5/62,75/34,28/392,670/498 is 1/51439416

Least Common Multiple of 62,34,392,498 with GCF Formula

Least Common Multiple of 62,34,392,498 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 62,34,392,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,34,392,498) = 2

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

GCF(62,34,392,498) x common factors =2 x 4 = 8

LCM(62,34,392,498) = ( 62 × 34 × 392 × 498 ) / 8

LCM(62,34,392,498) = 411515328 / 8

LCM(62,34,392,498) = 51439416


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 5/62, 75/34, 28/392, 670/498

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 5/62, 75/34, 28/392, 670/498?

Answer: GCF of Numerators as per given numbers 5/62, 75/34, 28/392, 670/498 is

GCF of Numerators i.e. for 5,75,28,670 is 1

LCM of denominators i.e. for 62,34,392,498 is 51439416.

Thus, GCF of Fractions is 1/51439416.Finally, GCF of Fractions for 5/62, 75/34, 28/392, 670/498 is 1/51439416.