Greatest Common Factor of 6315/262, 5348/1767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6315/262, 5348/1767

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 6315/262,5348/1767

Given fractions are 6315/262,5348/1767

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 6315,5348

Greatest Common Factor of Numerators i.e. GCF of 6315,5348 is 1 .

LCM of Denominators means LCM of 262,1767 as per the given fractions.

LCM of 262,1767 is 462954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6315,5348

GCF of Fractions 6315/262,5348/1767 is 1/462954

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

Greatest Common Factor of 6315,5348 By Matching Biggest Common Factor Method

Greatest Common Factor of 6315,5348 By Matching Biggest Common Factor Method

Factors of 6315

List of positive integer factors of 6315 that divides 6315 without a remainder.

1,3,5,15,421,1263,2105,6315

Factors of 5348

List of positive integer factors of 5348 that divides 5348 without a remainder.

1,2,4,7,14,28,191,382,764,1337,2674,5348

Greatest Common Factor

We found the factors 6315,5348 . The biggest common factor number is the GCF number.
So the greatest common factor 6315,5348 is 1.

Lets's calculate LCM of 262,1767

Given numbers has no common factors except 1. So, there LCM is their product i.e 462954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462954

Therefore, the GCF of Fractions 6315/262,5348/1767 is 1/462954

Least Common Multiple of 262,1767 with GCF Formula

Least Common Multiple of 262,1767 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 262,1767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,1767) = 1

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

GCF(262,1767) x common factors =1 x 1 = 1

LCM(262,1767) = ( 262 × 1767 ) / 1

LCM(262,1767) = 462954 / 1

LCM(262,1767) = 462954


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 6315/262, 5348/1767

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 6315/262, 5348/1767?

Answer: GCF of Numerators as per given numbers 6315/262, 5348/1767 is

GCF of Numerators i.e. for 6315,5348 is 1

LCM of denominators i.e. for 262,1767 is 462954.

Thus, GCF of Fractions is 1/462954.Finally, GCF of Fractions for 6315/262, 5348/1767 is 1/462954.