Greatest Common Factor of 1314/32, 6283/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1314/32, 6283/664

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 1314/32,6283/664

Given fractions are 1314/32,6283/664

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 1314,6283

Greatest Common Factor of Numerators i.e. GCF of 1314,6283 is 1 .

LCM of Denominators means LCM of 32,664 as per the given fractions.

LCM of 32,664 is 2656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1314,6283

GCF of Fractions 1314/32,6283/664 is 1/2656

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

Greatest Common Factor of 1314,6283 By Matching Biggest Common Factor Method

Greatest Common Factor of 1314,6283 By Matching Biggest Common Factor Method

Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1,2,3,6,9,18,73,146,219,438,657,1314

Factors of 6283

List of positive integer factors of 6283 that divides 6283 without a remainder.

1,61,103,6283

Greatest Common Factor

We found the factors 1314,6283 . The biggest common factor number is the GCF number.
So the greatest common factor 1314,6283 is 1.

Lets's calculate LCM of 32,664

2 32, 664
2 16, 332
2 8, 166
4, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 83 = 2656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2656

Therefore, the GCF of Fractions 1314/32,6283/664 is 1/2656

Least Common Multiple of 32,664 with GCF Formula

Least Common Multiple of 32,664 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 32,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,664) = 8

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

GCF(32,664) x common factors =8 x 1 = 8

LCM(32,664) = ( 32 × 664 ) / 8

LCM(32,664) = 21248 / 8

LCM(32,664) = 2656


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 1314/32, 6283/664

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 1314/32, 6283/664?

Answer: GCF of Numerators as per given numbers 1314/32, 6283/664 is

GCF of Numerators i.e. for 1314,6283 is 1

LCM of denominators i.e. for 32,664 is 2656.

Thus, GCF of Fractions is 1/2656.Finally, GCF of Fractions for 1314/32, 6283/664 is 1/2656.