Greatest Common Factor of 1060/685, 7119/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1060/685, 7119/421

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 1060/685,7119/421

Given fractions are 1060/685,7119/421

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 1060,7119

Greatest Common Factor of Numerators i.e. GCF of 1060,7119 is 1 .

LCM of Denominators means LCM of 685,421 as per the given fractions.

LCM of 685,421 is 288385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1060,7119

GCF of Fractions 1060/685,7119/421 is 1/288385

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

Greatest Common Factor of 1060,7119 By Matching Biggest Common Factor Method

Greatest Common Factor of 1060,7119 By Matching Biggest Common Factor Method

Factors of 1060

List of positive integer factors of 1060 that divides 1060 without a remainder.

1,2,4,5,10,20,53,106,212,265,530,1060

Factors of 7119

List of positive integer factors of 7119 that divides 7119 without a remainder.

1,3,7,9,21,63,113,339,791,1017,2373,7119

Greatest Common Factor

We found the factors 1060,7119 . The biggest common factor number is the GCF number.
So the greatest common factor 1060,7119 is 1.

Lets's calculate LCM of 685,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 288385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288385

Therefore, the GCF of Fractions 1060/685,7119/421 is 1/288385

Least Common Multiple of 685,421 with GCF Formula

Least Common Multiple of 685,421 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 685,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,421) = 1

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

GCF(685,421) x common factors =1 x 1 = 1

LCM(685,421) = ( 685 × 421 ) / 1

LCM(685,421) = 288385 / 1

LCM(685,421) = 288385


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 1060/685, 7119/421

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 1060/685, 7119/421?

Answer: GCF of Numerators as per given numbers 1060/685, 7119/421 is

GCF of Numerators i.e. for 1060,7119 is 1

LCM of denominators i.e. for 685,421 is 288385.

Thus, GCF of Fractions is 1/288385.Finally, GCF of Fractions for 1060/685, 7119/421 is 1/288385.