Greatest Common Factor of 107/294, 1457/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/294, 1457/770

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 107/294,1457/770

Given fractions are 107/294,1457/770

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 107,1457

Greatest Common Factor of Numerators i.e. GCF of 107,1457 is 1 .

LCM of Denominators means LCM of 294,770 as per the given fractions.

LCM of 294,770 is 16170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,1457

GCF of Fractions 107/294,1457/770 is 1/16170

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

Greatest Common Factor of 107,1457 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,1457 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 1457

List of positive integer factors of 1457 that divides 1457 without a remainder.

1,31,47,1457

Greatest Common Factor

We found the factors 107,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 107,1457 is 1.

Lets's calculate LCM of 294,770

2 294, 770
7 147, 385
21, 55

∴ So the LCM of the given numbers is 2 x 7 x 21 x 55 = 16170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16170

Therefore, the GCF of Fractions 107/294,1457/770 is 1/16170

Least Common Multiple of 294,770 with GCF Formula

Least Common Multiple of 294,770 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 294,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,770) = 14

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

GCF(294,770) x common factors =14 x 1 = 14

LCM(294,770) = ( 294 × 770 ) / 14

LCM(294,770) = 226380 / 14

LCM(294,770) = 16170


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 107/294, 1457/770

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 107/294, 1457/770?

Answer: GCF of Numerators as per given numbers 107/294, 1457/770 is

GCF of Numerators i.e. for 107,1457 is 1

LCM of denominators i.e. for 294,770 is 16170.

Thus, GCF of Fractions is 1/16170.Finally, GCF of Fractions for 107/294, 1457/770 is 1/16170.