Greatest Common Factor of 829/80, 980/85, 982/25

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 829/80, 980/85, 982/25

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 829/80,980/85,982/25

Given fractions are 829/80,980/85,982/25

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 829,980,982

Greatest Common Factor of Numerators i.e. GCF of 829,980,982 is 1 .

LCM of Denominators means LCM of 80,85,25 as per the given fractions.

LCM of 80,85,25 is 6800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 829,980,982

GCF of Fractions 829/80,980/85,982/25 is 1/6800

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

Greatest Common Factor of 829,980,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,980,982 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 829,980,982 . The biggest common factor number is the GCF number.
So the greatest common factor 829,980,982 is 1.

Lets's calculate LCM of 80,85,25

5 80, 85, 25
16, 17, 5

∴ So the LCM of the given numbers is 5 x 16 x 17 x 5 = 6800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6800

Therefore, the GCF of Fractions 829/80,980/85,982/25 is 1/6800

Least Common Multiple of 80,85,25 with GCF Formula

Least Common Multiple of 80,85,25 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 80,85,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,85,25) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(80,85,25) x common factors =5 x 5 = 25

LCM(80,85,25) = ( 80 × 85 × 25 ) / 25

LCM(80,85,25) = 170000 / 25

LCM(80,85,25) = 6800


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 829/80, 980/85, 982/25

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 829/80, 980/85, 982/25?

Answer: GCF of Numerators as per given numbers 829/80, 980/85, 982/25 is

GCF of Numerators i.e. for 829,980,982 is 1

LCM of denominators i.e. for 80,85,25 is 6800.

Thus, GCF of Fractions is 1/6800.Finally, GCF of Fractions for 829/80, 980/85, 982/25 is 1/6800.