Greatest Common Factor of 686/70, 1085/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/70, 1085/634

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 686/70,1085/634

Given fractions are 686/70,1085/634

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 686,1085

Greatest Common Factor of Numerators i.e. GCF of 686,1085 is 7 .

LCM of Denominators means LCM of 70,634 as per the given fractions.

LCM of 70,634 is 22190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,1085

GCF of Fractions 686/70,1085/634 is 7/22190

7 686, 1085
98, 155

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 686,1085 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,1085 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1,5,7,31,35,155,217,1085

Greatest Common Factor

We found the factors 686,1085 . The biggest common factor number is the GCF number.
So the greatest common factor 686,1085 is 7.

Lets's calculate LCM of 70,634

2 70, 634
35, 317

∴ So the LCM of the given numbers is 2 x 35 x 317 = 22190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/22190

Therefore, the GCF of Fractions 686/70,1085/634 is 7/22190

Least Common Multiple of 70,634 with GCF Formula

Least Common Multiple of 70,634 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 70,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,634) = 2

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

GCF(70,634) x common factors =2 x 1 = 2

LCM(70,634) = ( 70 × 634 ) / 2

LCM(70,634) = 44380 / 2

LCM(70,634) = 22190


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 686/70, 1085/634

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 686/70, 1085/634?

Answer: GCF of Numerators as per given numbers 686/70, 1085/634 is

GCF of Numerators i.e. for 686,1085 is 7

LCM of denominators i.e. for 70,634 is 22190.

Thus, GCF of Fractions is 7/22190.Finally, GCF of Fractions for 686/70, 1085/634 is 7/22190.