Greatest Common Factor of 6518/977, 4647/7445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6518/977, 4647/7445

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 6518/977,4647/7445

Given fractions are 6518/977,4647/7445

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 6518,4647

Greatest Common Factor of Numerators i.e. GCF of 6518,4647 is 1 .

LCM of Denominators means LCM of 977,7445 as per the given fractions.

LCM of 977,7445 is 7273765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6518,4647

GCF of Fractions 6518/977,4647/7445 is 1/7273765

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

Greatest Common Factor of 6518,4647 By Matching Biggest Common Factor Method

Greatest Common Factor of 6518,4647 By Matching Biggest Common Factor Method

Factors of 6518

List of positive integer factors of 6518 that divides 6518 without a remainder.

1,2,3259,6518

Factors of 4647

List of positive integer factors of 4647 that divides 4647 without a remainder.

1,3,1549,4647

Greatest Common Factor

We found the factors 6518,4647 . The biggest common factor number is the GCF number.
So the greatest common factor 6518,4647 is 1.

Lets's calculate LCM of 977,7445

Given numbers has no common factors except 1. So, there LCM is their product i.e 7273765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7273765

Therefore, the GCF of Fractions 6518/977,4647/7445 is 1/7273765

Least Common Multiple of 977,7445 with GCF Formula

Least Common Multiple of 977,7445 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 977,7445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,7445) = 1

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

GCF(977,7445) x common factors =1 x 1 = 1

LCM(977,7445) = ( 977 × 7445 ) / 1

LCM(977,7445) = 7273765 / 1

LCM(977,7445) = 7273765


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 6518/977, 4647/7445

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 6518/977, 4647/7445?

Answer: GCF of Numerators as per given numbers 6518/977, 4647/7445 is

GCF of Numerators i.e. for 6518,4647 is 1

LCM of denominators i.e. for 977,7445 is 7273765.

Thus, GCF of Fractions is 1/7273765.Finally, GCF of Fractions for 6518/977, 4647/7445 is 1/7273765.