Greatest Common Factor of 5/82, 25/70, 44/112, 807/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/82, 25/70, 44/112, 807/231

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 5/82,25/70,44/112,807/231

Given fractions are 5/82,25/70,44/112,807/231

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 5,25,44,807

Greatest Common Factor of Numerators i.e. GCF of 5,25,44,807 is 1 .

LCM of Denominators means LCM of 82,70,112,231 as per the given fractions.

LCM of 82,70,112,231 is 757680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,25,44,807

GCF of Fractions 5/82,25/70,44/112,807/231 is 1/757680

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

Greatest Common Factor of 5,25,44,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,25,44,807 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 5,25,44,807 . The biggest common factor number is the GCF number.
So the greatest common factor 5,25,44,807 is 1.

Lets's calculate LCM of 82,70,112,231

2 82, 70, 112, 231
7 41, 35, 56, 231
41, 5, 8, 33

∴ So the LCM of the given numbers is 2 x 7 x 41 x 5 x 8 x 33 = 757680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/757680

Therefore, the GCF of Fractions 5/82,25/70,44/112,807/231 is 1/757680

Least Common Multiple of 82,70,112,231 with GCF Formula

Least Common Multiple of 82,70,112,231 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 82,70,112,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,70,112,231) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(82,70,112,231) x common factors =1 x 196 = 196

LCM(82,70,112,231) = ( 82 × 70 × 112 × 231 ) / 196

LCM(82,70,112,231) = 148505280 / 196

LCM(82,70,112,231) = 757680


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 5/82, 25/70, 44/112, 807/231

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 5/82, 25/70, 44/112, 807/231?

Answer: GCF of Numerators as per given numbers 5/82, 25/70, 44/112, 807/231 is

GCF of Numerators i.e. for 5,25,44,807 is 1

LCM of denominators i.e. for 82,70,112,231 is 757680.

Thus, GCF of Fractions is 1/757680.Finally, GCF of Fractions for 5/82, 25/70, 44/112, 807/231 is 1/757680.