Greatest Common Factor of 9707/80, 7827/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9707/80, 7827/170

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 9707/80,7827/170

Given fractions are 9707/80,7827/170

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 9707,7827

Greatest Common Factor of Numerators i.e. GCF of 9707,7827 is 1 .

LCM of Denominators means LCM of 80,170 as per the given fractions.

LCM of 80,170 is 1360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9707,7827

GCF of Fractions 9707/80,7827/170 is 1/1360

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

Greatest Common Factor of 9707,7827 By Matching Biggest Common Factor Method

Greatest Common Factor of 9707,7827 By Matching Biggest Common Factor Method

Factors of 9707

List of positive integer factors of 9707 that divides 9707 without a remainder.

1,17,571,9707

Factors of 7827

List of positive integer factors of 7827 that divides 7827 without a remainder.

1,3,2609,7827

Greatest Common Factor

We found the factors 9707,7827 . The biggest common factor number is the GCF number.
So the greatest common factor 9707,7827 is 1.

Lets's calculate LCM of 80,170

2 80, 170
5 40, 85
8, 17

∴ So the LCM of the given numbers is 2 x 5 x 8 x 17 = 1360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1360

Therefore, the GCF of Fractions 9707/80,7827/170 is 1/1360

Least Common Multiple of 80,170 with GCF Formula

Least Common Multiple of 80,170 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 80,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,170) = 10

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

GCF(80,170) x common factors =10 x 1 = 10

LCM(80,170) = ( 80 × 170 ) / 10

LCM(80,170) = 13600 / 10

LCM(80,170) = 1360


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 9707/80, 7827/170

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 9707/80, 7827/170?

Answer: GCF of Numerators as per given numbers 9707/80, 7827/170 is

GCF of Numerators i.e. for 9707,7827 is 1

LCM of denominators i.e. for 80,170 is 1360.

Thus, GCF of Fractions is 1/1360.Finally, GCF of Fractions for 9707/80, 7827/170 is 1/1360.