Greatest Common Factor of 3458/653, 2120/9593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3458/653, 2120/9593

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 3458/653,2120/9593

Given fractions are 3458/653,2120/9593

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 3458,2120

Greatest Common Factor of Numerators i.e. GCF of 3458,2120 is 2 .

LCM of Denominators means LCM of 653,9593 as per the given fractions.

LCM of 653,9593 is 6264229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3458,2120

GCF of Fractions 3458/653,2120/9593 is 2/6264229

2 3458, 2120
1729, 1060

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

Greatest Common Factor of 3458,2120 By Matching Biggest Common Factor Method

Greatest Common Factor of 3458,2120 By Matching Biggest Common Factor Method

Factors of 3458

List of positive integer factors of 3458 that divides 3458 without a remainder.

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120

Greatest Common Factor

We found the factors 3458,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 3458,2120 is 2.

Lets's calculate LCM of 653,9593

Given numbers has no common factors except 1. So, there LCM is their product i.e 6264229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6264229

Therefore, the GCF of Fractions 3458/653,2120/9593 is 2/6264229

Least Common Multiple of 653,9593 with GCF Formula

Least Common Multiple of 653,9593 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 653,9593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,9593) = 1

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

GCF(653,9593) x common factors =1 x 1 = 1

LCM(653,9593) = ( 653 × 9593 ) / 1

LCM(653,9593) = 6264229 / 1

LCM(653,9593) = 6264229


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 3458/653, 2120/9593

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 3458/653, 2120/9593?

Answer: GCF of Numerators as per given numbers 3458/653, 2120/9593 is

GCF of Numerators i.e. for 3458,2120 is 2

LCM of denominators i.e. for 653,9593 is 6264229.

Thus, GCF of Fractions is 2/6264229.Finally, GCF of Fractions for 3458/653, 2120/9593 is 2/6264229.