Greatest Common Factor of 1754/57, 3526/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1754/57, 3526/355

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 1754/57,3526/355

Given fractions are 1754/57,3526/355

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 1754,3526

Greatest Common Factor of Numerators i.e. GCF of 1754,3526 is 2 .

LCM of Denominators means LCM of 57,355 as per the given fractions.

LCM of 57,355 is 20235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1754,3526

GCF of Fractions 1754/57,3526/355 is 2/20235

2 1754, 3526
877, 1763

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

Greatest Common Factor of 1754,3526 By Matching Biggest Common Factor Method

Greatest Common Factor of 1754,3526 By Matching Biggest Common Factor Method

Factors of 1754

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

1,2,877,1754

Factors of 3526

List of positive integer factors of 3526 that divides 3526 without a remainder.

1,2,41,43,82,86,1763,3526

Greatest Common Factor

We found the factors 1754,3526 . The biggest common factor number is the GCF number.
So the greatest common factor 1754,3526 is 2.

Lets's calculate LCM of 57,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 20235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20235

Therefore, the GCF of Fractions 1754/57,3526/355 is 2/20235

Least Common Multiple of 57,355 with GCF Formula

Least Common Multiple of 57,355 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 57,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,355) = 1

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

GCF(57,355) x common factors =1 x 1 = 1

LCM(57,355) = ( 57 × 355 ) / 1

LCM(57,355) = 20235 / 1

LCM(57,355) = 20235


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 1754/57, 3526/355

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 1754/57, 3526/355?

Answer: GCF of Numerators as per given numbers 1754/57, 3526/355 is

GCF of Numerators i.e. for 1754,3526 is 2

LCM of denominators i.e. for 57,355 is 20235.

Thus, GCF of Fractions is 2/20235.Finally, GCF of Fractions for 1754/57, 3526/355 is 2/20235.