Greatest Common Factor of 6382/664, 1448/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6382/664, 1448/677

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 6382/664,1448/677

Given fractions are 6382/664,1448/677

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 6382,1448

Greatest Common Factor of Numerators i.e. GCF of 6382,1448 is 2 .

LCM of Denominators means LCM of 664,677 as per the given fractions.

LCM of 664,677 is 449528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6382,1448

GCF of Fractions 6382/664,1448/677 is 2/449528

2 6382, 1448
3191, 724

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6382,1448 By Matching Biggest Common Factor Method

Greatest Common Factor of 6382,1448 By Matching Biggest Common Factor Method

Factors of 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1,2,3191,6382

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Greatest Common Factor

We found the factors 6382,1448 . The biggest common factor number is the GCF number.
So the greatest common factor 6382,1448 is 2.

Lets's calculate LCM of 664,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 449528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/449528

Therefore, the GCF of Fractions 6382/664,1448/677 is 2/449528

Least Common Multiple of 664,677 with GCF Formula

Least Common Multiple of 664,677 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 664,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,677) = 1

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

GCF(664,677) x common factors =1 x 1 = 1

LCM(664,677) = ( 664 × 677 ) / 1

LCM(664,677) = 449528 / 1

LCM(664,677) = 449528


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 6382/664, 1448/677

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 6382/664, 1448/677?

Answer: GCF of Numerators as per given numbers 6382/664, 1448/677 is

GCF of Numerators i.e. for 6382,1448 is 2

LCM of denominators i.e. for 664,677 is 449528.

Thus, GCF of Fractions is 2/449528.Finally, GCF of Fractions for 6382/664, 1448/677 is 2/449528.