Greatest Common Factor of 271/63, 598/14, 830/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 271/63, 598/14, 830/14

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 271/63,598/14,830/14

Given fractions are 271/63,598/14,830/14

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 271,598,830

Greatest Common Factor of Numerators i.e. GCF of 271,598,830 is 1 .

LCM of Denominators means LCM of 63,14,14 as per the given fractions.

LCM of 63,14,14 is 126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 271,598,830

GCF of Fractions 271/63,598/14,830/14 is 1/126

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

Greatest Common Factor of 271,598,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,598,830 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 271,598,830 . The biggest common factor number is the GCF number.
So the greatest common factor 271,598,830 is 1.

Lets's calculate LCM of 63,14,14

2 63, 14, 14
7 63, 7, 7
9, 1, 1

∴ So the LCM of the given numbers is 2 x 7 x 9 x 1 x 1 = 126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126

Therefore, the GCF of Fractions 271/63,598/14,830/14 is 1/126

Least Common Multiple of 63,14,14 with GCF Formula

Least Common Multiple of 63,14,14 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 63,14,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,14,14) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(63,14,14) x common factors =7 x 14 = 98

LCM(63,14,14) = ( 63 × 14 × 14 ) / 98

LCM(63,14,14) = 12348 / 98

LCM(63,14,14) = 126


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 271/63, 598/14, 830/14

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 271/63, 598/14, 830/14?

Answer: GCF of Numerators as per given numbers 271/63, 598/14, 830/14 is

GCF of Numerators i.e. for 271,598,830 is 1

LCM of denominators i.e. for 63,14,14 is 126.

Thus, GCF of Fractions is 1/126.Finally, GCF of Fractions for 271/63, 598/14, 830/14 is 1/126.