Greatest Common Factor of 3525/349, 6486/2775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3525/349, 6486/2775

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 3525/349,6486/2775

Given fractions are 3525/349,6486/2775

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 3525,6486

Greatest Common Factor of Numerators i.e. GCF of 3525,6486 is 141 .

LCM of Denominators means LCM of 349,2775 as per the given fractions.

LCM of 349,2775 is 968475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3525,6486

GCF of Fractions 3525/349,6486/2775 is 141/968475

3 3525, 6486
47 1175, 2162
25, 46

∴ So the GCF of the given numbers is 3 x 47 = 141

Greatest Common Factor of 3525,6486 By Matching Biggest Common Factor Method

Greatest Common Factor of 3525,6486 By Matching Biggest Common Factor Method

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1,3,5,15,25,47,75,141,235,705,1175,3525

Factors of 6486

List of positive integer factors of 6486 that divides 6486 without a remainder.

1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486

Greatest Common Factor

We found the factors 3525,6486 . The biggest common factor number is the GCF number.
So the greatest common factor 3525,6486 is 141.

Lets's calculate LCM of 349,2775

Given numbers has no common factors except 1. So, there LCM is their product i.e 968475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 141/968475

Therefore, the GCF of Fractions 3525/349,6486/2775 is 141/968475

Least Common Multiple of 349,2775 with GCF Formula

Least Common Multiple of 349,2775 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 349,2775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,2775) = 1

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

GCF(349,2775) x common factors =1 x 1 = 1

LCM(349,2775) = ( 349 × 2775 ) / 1

LCM(349,2775) = 968475 / 1

LCM(349,2775) = 968475


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 3525/349, 6486/2775

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 3525/349, 6486/2775?

Answer: GCF of Numerators as per given numbers 3525/349, 6486/2775 is

GCF of Numerators i.e. for 3525,6486 is 141

LCM of denominators i.e. for 349,2775 is 968475.

Thus, GCF of Fractions is 141/968475.Finally, GCF of Fractions for 3525/349, 6486/2775 is 141/968475.