Greatest Common Factor of 828/98, 981/25, 697/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 828/98, 981/25, 697/875

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 828/98,981/25,697/875

Given fractions are 828/98,981/25,697/875

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 828,981,697

Greatest Common Factor of Numerators i.e. GCF of 828,981,697 is 1 .

LCM of Denominators means LCM of 98,25,875 as per the given fractions.

LCM of 98,25,875 is 12250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,981,697

GCF of Fractions 828/98,981/25,697/875 is 1/12250

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

Greatest Common Factor of 828,981,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,981,697 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 828,981,697 . The biggest common factor number is the GCF number.
So the greatest common factor 828,981,697 is 1.


Lets's calculate LCM of 98,25,875

5 98, 25, 875
5 98, 5, 175
7 98, 1, 35
14, 1, 5

∴ So the LCM of the given numbers is 5 x 5 x 7 x 14 x 1 x 5 = 12250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12250

Therefore, the GCF of Fractions 828/98,981/25,697/875 is 1/12250

Least Common Multiple of 98,25,875 with GCF Formula

Least Common Multiple of 98,25,875 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 98,25,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,25,875) = 1

common factors(in case of two or more numbers have common factors) = 175

GCF(98,25,875) x common factors =1 x 175 = 175

LCM(98,25,875) = ( 98 × 25 × 875 ) / 175

LCM(98,25,875) = 2143750 / 175

LCM(98,25,875) = 12250


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 828/98, 981/25, 697/875

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 828/98, 981/25, 697/875?

Answer: GCF of Numerators as per given numbers 828/98, 981/25, 697/875 is

GCF of Numerators i.e. for 828,981,697 is 1

LCM of denominators i.e. for 98,25,875 is 12250.

Thus, GCF of Fractions is 1/12250.Finally, GCF of Fractions for 828/98, 981/25, 697/875 is 1/12250.