Greatest Common Factor of 3516/357, 2569/5345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3516/357, 2569/5345

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 3516/357,2569/5345

Given fractions are 3516/357,2569/5345

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 3516,2569

Greatest Common Factor of Numerators i.e. GCF of 3516,2569 is 1 .

LCM of Denominators means LCM of 357,5345 as per the given fractions.

LCM of 357,5345 is 1908165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3516,2569

GCF of Fractions 3516/357,2569/5345 is 1/1908165

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

Greatest Common Factor of 3516,2569 By Matching Biggest Common Factor Method

Greatest Common Factor of 3516,2569 By Matching Biggest Common Factor Method

Factors of 3516

List of positive integer factors of 3516 that divides 3516 without a remainder.

1,2,3,4,6,12,293,586,879,1172,1758,3516

Factors of 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1,7,367,2569

Greatest Common Factor

We found the factors 3516,2569 . The biggest common factor number is the GCF number.
So the greatest common factor 3516,2569 is 1.

Lets's calculate LCM of 357,5345

Given numbers has no common factors except 1. So, there LCM is their product i.e 1908165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1908165

Therefore, the GCF of Fractions 3516/357,2569/5345 is 1/1908165

Least Common Multiple of 357,5345 with GCF Formula

Least Common Multiple of 357,5345 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 357,5345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,5345) = 1

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

GCF(357,5345) x common factors =1 x 1 = 1

LCM(357,5345) = ( 357 × 5345 ) / 1

LCM(357,5345) = 1908165 / 1

LCM(357,5345) = 1908165


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 3516/357, 2569/5345

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 3516/357, 2569/5345?

Answer: GCF of Numerators as per given numbers 3516/357, 2569/5345 is

GCF of Numerators i.e. for 3516,2569 is 1

LCM of denominators i.e. for 357,5345 is 1908165.

Thus, GCF of Fractions is 1/1908165.Finally, GCF of Fractions for 3516/357, 2569/5345 is 1/1908165.