Greatest Common Factor of 9707/822, 8458/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9707/822, 8458/280

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 9707/822,8458/280

Given fractions are 9707/822,8458/280

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 9707,8458

Greatest Common Factor of Numerators i.e. GCF of 9707,8458 is 1 .

LCM of Denominators means LCM of 822,280 as per the given fractions.

LCM of 822,280 is 115080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9707,8458

GCF of Fractions 9707/822,8458/280 is 1/115080

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

Greatest Common Factor of 9707,8458 By Matching Biggest Common Factor Method

Greatest Common Factor of 9707,8458 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 8458

List of positive integer factors of 8458 that divides 8458 without a remainder.

1,2,4229,8458

Greatest Common Factor

We found the factors 9707,8458 . The biggest common factor number is the GCF number.
So the greatest common factor 9707,8458 is 1.

Lets's calculate LCM of 822,280

2 822, 280
411, 140

∴ So the LCM of the given numbers is 2 x 411 x 140 = 115080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115080

Therefore, the GCF of Fractions 9707/822,8458/280 is 1/115080

Least Common Multiple of 822,280 with GCF Formula

Least Common Multiple of 822,280 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 822,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,280) = 2

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

GCF(822,280) x common factors =2 x 1 = 2

LCM(822,280) = ( 822 × 280 ) / 2

LCM(822,280) = 230160 / 2

LCM(822,280) = 115080


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 9707/822, 8458/280

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 9707/822, 8458/280?

Answer: GCF of Numerators as per given numbers 9707/822, 8458/280 is

GCF of Numerators i.e. for 9707,8458 is 1

LCM of denominators i.e. for 822,280 is 115080.

Thus, GCF of Fractions is 1/115080.Finally, GCF of Fractions for 9707/822, 8458/280 is 1/115080.