Greatest Common Factor of 196/82, 425/22, 750/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/82, 425/22, 750/10

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 196/82,425/22,750/10

Given fractions are 196/82,425/22,750/10

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 196,425,750

Greatest Common Factor of Numerators i.e. GCF of 196,425,750 is 1 .

LCM of Denominators means LCM of 82,22,10 as per the given fractions.

LCM of 82,22,10 is 4510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,425,750

GCF of Fractions 196/82,425/22,750/10 is 1/4510

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

Greatest Common Factor of 196,425,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,425,750 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 196,425,750 . The biggest common factor number is the GCF number.
So the greatest common factor 196,425,750 is 1.

Lets's calculate LCM of 82,22,10

2 82, 22, 10
41, 11, 5

∴ So the LCM of the given numbers is 2 x 41 x 11 x 5 = 4510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4510

Therefore, the GCF of Fractions 196/82,425/22,750/10 is 1/4510

Least Common Multiple of 82,22,10 with GCF Formula

Least Common Multiple of 82,22,10 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 82,22,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,22,10) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,22,10) x common factors =2 x 2 = 4

LCM(82,22,10) = ( 82 × 22 × 10 ) / 4

LCM(82,22,10) = 18040 / 4

LCM(82,22,10) = 4510


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 196/82, 425/22, 750/10

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 196/82, 425/22, 750/10?

Answer: GCF of Numerators as per given numbers 196/82, 425/22, 750/10 is

GCF of Numerators i.e. for 196,425,750 is 1

LCM of denominators i.e. for 82,22,10 is 4510.

Thus, GCF of Fractions is 1/4510.Finally, GCF of Fractions for 196/82, 425/22, 750/10 is 1/4510.