Greatest Common Factor of 4/76, 53/71, 97/439, 424/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/76, 53/71, 97/439, 424/509

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 4/76,53/71,97/439,424/509

Given fractions are 4/76,53/71,97/439,424/509

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 4,53,97,424

Greatest Common Factor of Numerators i.e. GCF of 4,53,97,424 is 1 .

LCM of Denominators means LCM of 76,71,439,509 as per the given fractions.

LCM of 76,71,439,509 is 1205741596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,53,97,424

GCF of Fractions 4/76,53/71,97/439,424/509 is 1/1205741596

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

Greatest Common Factor of 4,53,97,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,53,97,424 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 4,53,97,424 . The biggest common factor number is the GCF number.
So the greatest common factor 4,53,97,424 is 1.

Lets's calculate LCM of 76,71,439,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 1205741596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1205741596

Therefore, the GCF of Fractions 4/76,53/71,97/439,424/509 is 1/1205741596

Least Common Multiple of 76,71,439,509 with GCF Formula

Least Common Multiple of 76,71,439,509 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 76,71,439,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,71,439,509) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(76,71,439,509) x common factors =1 x 1 = 1

LCM(76,71,439,509) = ( 76 × 71 × 439 × 509 ) / 1

LCM(76,71,439,509) = 1205741596 / 1

LCM(76,71,439,509) = 1205741596


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 4/76, 53/71, 97/439, 424/509

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 4/76, 53/71, 97/439, 424/509?

Answer: GCF of Numerators as per given numbers 4/76, 53/71, 97/439, 424/509 is

GCF of Numerators i.e. for 4,53,97,424 is 1

LCM of denominators i.e. for 76,71,439,509 is 1205741596.

Thus, GCF of Fractions is 1/1205741596.Finally, GCF of Fractions for 4/76, 53/71, 97/439, 424/509 is 1/1205741596.