Greatest Common Factor of 7/43, 62/67, 71/604, 596/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/43, 62/67, 71/604, 596/249

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 7/43,62/67,71/604,596/249

Given fractions are 7/43,62/67,71/604,596/249

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 7,62,71,596

Greatest Common Factor of Numerators i.e. GCF of 7,62,71,596 is 1 .

LCM of Denominators means LCM of 43,67,604,249 as per the given fractions.

LCM of 43,67,604,249 is 433290876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,62,71,596

GCF of Fractions 7/43,62/67,71/604,596/249 is 1/433290876

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

Greatest Common Factor of 7,62,71,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,62,71,596 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 7,62,71,596 . The biggest common factor number is the GCF number.
So the greatest common factor 7,62,71,596 is 1.

Lets's calculate LCM of 43,67,604,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 433290876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433290876

Therefore, the GCF of Fractions 7/43,62/67,71/604,596/249 is 1/433290876

Least Common Multiple of 43,67,604,249 with GCF Formula

Least Common Multiple of 43,67,604,249 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 43,67,604,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,67,604,249) = 1

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

GCF(43,67,604,249) x common factors =1 x 1 = 1

LCM(43,67,604,249) = ( 43 × 67 × 604 × 249 ) / 1

LCM(43,67,604,249) = 433290876 / 1

LCM(43,67,604,249) = 433290876


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 7/43, 62/67, 71/604, 596/249

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 7/43, 62/67, 71/604, 596/249?

Answer: GCF of Numerators as per given numbers 7/43, 62/67, 71/604, 596/249 is

GCF of Numerators i.e. for 7,62,71,596 is 1

LCM of denominators i.e. for 43,67,604,249 is 433290876.

Thus, GCF of Fractions is 1/433290876.Finally, GCF of Fractions for 7/43, 62/67, 71/604, 596/249 is 1/433290876.