Greatest Common Factor of 7/14, 86/76, 98/401, 379/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/14, 86/76, 98/401, 379/266

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 7/14,86/76,98/401,379/266

Given fractions are 7/14,86/76,98/401,379/266

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 7,86,98,379

Greatest Common Factor of Numerators i.e. GCF of 7,86,98,379 is 1 .

LCM of Denominators means LCM of 14,76,401,266 as per the given fractions.

LCM of 14,76,401,266 is 213332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,86,98,379

GCF of Fractions 7/14,86/76,98/401,379/266 is 1/213332

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

Greatest Common Factor of 7,86,98,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,86,98,379 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 7,86,98,379 . The biggest common factor number is the GCF number.
So the greatest common factor 7,86,98,379 is 1.

Lets's calculate LCM of 14,76,401,266

2 14, 76, 401, 266
7 7, 38, 401, 133
19 1, 38, 401, 19
1, 2, 401, 1

∴ So the LCM of the given numbers is 2 x 7 x 19 x 1 x 2 x 401 x 1 = 213332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213332

Therefore, the GCF of Fractions 7/14,86/76,98/401,379/266 is 1/213332

Least Common Multiple of 14,76,401,266 with GCF Formula

Least Common Multiple of 14,76,401,266 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 14,76,401,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,76,401,266) = 1

common factors(in case of two or more numbers have common factors) = 532

GCF(14,76,401,266) x common factors =1 x 532 = 532

LCM(14,76,401,266) = ( 14 × 76 × 401 × 266 ) / 532

LCM(14,76,401,266) = 113492624 / 532

LCM(14,76,401,266) = 213332


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 7/14, 86/76, 98/401, 379/266

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 7/14, 86/76, 98/401, 379/266?

Answer: GCF of Numerators as per given numbers 7/14, 86/76, 98/401, 379/266 is

GCF of Numerators i.e. for 7,86,98,379 is 1

LCM of denominators i.e. for 14,76,401,266 is 213332.

Thus, GCF of Fractions is 1/213332.Finally, GCF of Fractions for 7/14, 86/76, 98/401, 379/266 is 1/213332.