Greatest Common Factor of 3071/428, 1755/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3071/428, 1755/687

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 3071/428,1755/687

Given fractions are 3071/428,1755/687

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 3071,1755

Greatest Common Factor of Numerators i.e. GCF of 3071,1755 is 1 .

LCM of Denominators means LCM of 428,687 as per the given fractions.

LCM of 428,687 is 294036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3071,1755

GCF of Fractions 3071/428,1755/687 is 1/294036

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

Greatest Common Factor of 3071,1755 By Matching Biggest Common Factor Method

Greatest Common Factor of 3071,1755 By Matching Biggest Common Factor Method

Factors of 3071

List of positive integer factors of 3071 that divides 3071 without a remainder.

1,37,83,3071

Factors of 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Greatest Common Factor

We found the factors 3071,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 3071,1755 is 1.

Lets's calculate LCM of 428,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 294036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294036

Therefore, the GCF of Fractions 3071/428,1755/687 is 1/294036

Least Common Multiple of 428,687 with GCF Formula

Least Common Multiple of 428,687 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 428,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,687) = 1

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

GCF(428,687) x common factors =1 x 1 = 1

LCM(428,687) = ( 428 × 687 ) / 1

LCM(428,687) = 294036 / 1

LCM(428,687) = 294036


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 3071/428, 1755/687

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 3071/428, 1755/687?

Answer: GCF of Numerators as per given numbers 3071/428, 1755/687 is

GCF of Numerators i.e. for 3071,1755 is 1

LCM of denominators i.e. for 428,687 is 294036.

Thus, GCF of Fractions is 1/294036.Finally, GCF of Fractions for 3071/428, 1755/687 is 1/294036.