Greatest Common Factor of 5477/267, 2147/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5477/267, 2147/400

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 5477/267,2147/400

Given fractions are 5477/267,2147/400

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 5477,2147

Greatest Common Factor of Numerators i.e. GCF of 5477,2147 is 1 .

LCM of Denominators means LCM of 267,400 as per the given fractions.

LCM of 267,400 is 106800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5477,2147

GCF of Fractions 5477/267,2147/400 is 1/106800

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

Greatest Common Factor of 5477,2147 By Matching Biggest Common Factor Method

Greatest Common Factor of 5477,2147 By Matching Biggest Common Factor Method

Factors of 5477

List of positive integer factors of 5477 that divides 5477 without a remainder.

1,5477

Factors of 2147

List of positive integer factors of 2147 that divides 2147 without a remainder.

1,19,113,2147

Greatest Common Factor

We found the factors 5477,2147 . The biggest common factor number is the GCF number.
So the greatest common factor 5477,2147 is 1.

Lets's calculate LCM of 267,400

Given numbers has no common factors except 1. So, there LCM is their product i.e 106800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106800

Therefore, the GCF of Fractions 5477/267,2147/400 is 1/106800

Least Common Multiple of 267,400 with GCF Formula

Least Common Multiple of 267,400 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 267,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,400) = 1

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

GCF(267,400) x common factors =1 x 1 = 1

LCM(267,400) = ( 267 × 400 ) / 1

LCM(267,400) = 106800 / 1

LCM(267,400) = 106800


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 5477/267, 2147/400

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 5477/267, 2147/400?

Answer: GCF of Numerators as per given numbers 5477/267, 2147/400 is

GCF of Numerators i.e. for 5477,2147 is 1

LCM of denominators i.e. for 267,400 is 106800.

Thus, GCF of Fractions is 1/106800.Finally, GCF of Fractions for 5477/267, 2147/400 is 1/106800.