Greatest Common Factor of 4358/962, 1754/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4358/962, 1754/669

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 4358/962,1754/669

Given fractions are 4358/962,1754/669

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 4358,1754

Greatest Common Factor of Numerators i.e. GCF of 4358,1754 is 2 .

LCM of Denominators means LCM of 962,669 as per the given fractions.

LCM of 962,669 is 643578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4358,1754

GCF of Fractions 4358/962,1754/669 is 2/643578

2 4358, 1754
2179, 877

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

Greatest Common Factor of 4358,1754 By Matching Biggest Common Factor Method

Greatest Common Factor of 4358,1754 By Matching Biggest Common Factor Method

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1,2,2179,4358

Factors of 1754

List of positive integer factors of 1754 that divides 1754 without a remainder.

1,2,877,1754

Greatest Common Factor

We found the factors 4358,1754 . The biggest common factor number is the GCF number.
So the greatest common factor 4358,1754 is 2.

Lets's calculate LCM of 962,669

Given numbers has no common factors except 1. So, there LCM is their product i.e 643578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/643578

Therefore, the GCF of Fractions 4358/962,1754/669 is 2/643578

Least Common Multiple of 962,669 with GCF Formula

Least Common Multiple of 962,669 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 962,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,669) = 1

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

GCF(962,669) x common factors =1 x 1 = 1

LCM(962,669) = ( 962 × 669 ) / 1

LCM(962,669) = 643578 / 1

LCM(962,669) = 643578


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 4358/962, 1754/669

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 4358/962, 1754/669?

Answer: GCF of Numerators as per given numbers 4358/962, 1754/669 is

GCF of Numerators i.e. for 4358,1754 is 2

LCM of denominators i.e. for 962,669 is 643578.

Thus, GCF of Fractions is 2/643578.Finally, GCF of Fractions for 4358/962, 1754/669 is 2/643578.