Greatest Common Factor of 7711/450, 5389/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7711/450, 5389/438

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 7711/450,5389/438

Given fractions are 7711/450,5389/438

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 7711,5389

Greatest Common Factor of Numerators i.e. GCF of 7711,5389 is 1 .

LCM of Denominators means LCM of 450,438 as per the given fractions.

LCM of 450,438 is 32850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7711,5389

GCF of Fractions 7711/450,5389/438 is 1/32850

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

Greatest Common Factor of 7711,5389 By Matching Biggest Common Factor Method

Greatest Common Factor of 7711,5389 By Matching Biggest Common Factor Method

Factors of 7711

List of positive integer factors of 7711 that divides 7711 without a remainder.

1,11,701,7711

Factors of 5389

List of positive integer factors of 5389 that divides 5389 without a remainder.

1,17,317,5389

Greatest Common Factor

We found the factors 7711,5389 . The biggest common factor number is the GCF number.
So the greatest common factor 7711,5389 is 1.

Lets's calculate LCM of 450,438

2 450, 438
3 225, 219
75, 73

∴ So the LCM of the given numbers is 2 x 3 x 75 x 73 = 32850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32850

Therefore, the GCF of Fractions 7711/450,5389/438 is 1/32850

Least Common Multiple of 450,438 with GCF Formula

Least Common Multiple of 450,438 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 450,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,438) = 6

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

GCF(450,438) x common factors =6 x 1 = 6

LCM(450,438) = ( 450 × 438 ) / 6

LCM(450,438) = 197100 / 6

LCM(450,438) = 32850


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 7711/450, 5389/438

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 7711/450, 5389/438?

Answer: GCF of Numerators as per given numbers 7711/450, 5389/438 is

GCF of Numerators i.e. for 7711,5389 is 1

LCM of denominators i.e. for 450,438 is 32850.

Thus, GCF of Fractions is 1/32850.Finally, GCF of Fractions for 7711/450, 5389/438 is 1/32850.