Greatest Common Factor of 686/87, 210/91, 616/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/87, 210/91, 616/80

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 686/87,210/91,616/80

Given fractions are 686/87,210/91,616/80

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 686,210,616

Greatest Common Factor of Numerators i.e. GCF of 686,210,616 is 14 .

LCM of Denominators means LCM of 87,91,80 as per the given fractions.

LCM of 87,91,80 is 633360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,210,616

GCF of Fractions 686/87,210/91,616/80 is 14/633360

2 686, 210, 616
7 343, 105, 308
49, 15, 44

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 686,210,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,210,616 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 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 686,210,616 . The biggest common factor number is the GCF number.
So the greatest common factor 686,210,616 is 14.

Lets's calculate LCM of 87,91,80

Given numbers has no common factors except 1. So, there LCM is their product i.e 633360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/633360

Therefore, the GCF of Fractions 686/87,210/91,616/80 is 14/633360

Least Common Multiple of 87,91,80 with GCF Formula

Least Common Multiple of 87,91,80 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 87,91,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,91,80) = 1

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

GCF(87,91,80) x common factors =1 x 1 = 1

LCM(87,91,80) = ( 87 × 91 × 80 ) / 1

LCM(87,91,80) = 633360 / 1

LCM(87,91,80) = 633360


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 686/87, 210/91, 616/80

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 686/87, 210/91, 616/80?

Answer: GCF of Numerators as per given numbers 686/87, 210/91, 616/80 is

GCF of Numerators i.e. for 686,210,616 is 14

LCM of denominators i.e. for 87,91,80 is 633360.

Thus, GCF of Fractions is 14/633360.Finally, GCF of Fractions for 686/87, 210/91, 616/80 is 14/633360.