Greatest Common Factor of 220/134, 614/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/134, 614/271

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 220/134,614/271

Given fractions are 220/134,614/271

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 220,614

Greatest Common Factor of Numerators i.e. GCF of 220,614 is 2 .

LCM of Denominators means LCM of 134,271 as per the given fractions.

LCM of 134,271 is 36314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,614

GCF of Fractions 220/134,614/271 is 2/36314

2 220, 614
110, 307

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 220,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,614 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 220,614 . The biggest common factor number is the GCF number.
So the greatest common factor 220,614 is 2.

Lets's calculate LCM of 134,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 36314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36314

Therefore, the GCF of Fractions 220/134,614/271 is 2/36314

Least Common Multiple of 134,271 with GCF Formula

Least Common Multiple of 134,271 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 134,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,271) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(134,271) x common factors =1 x 1 = 1

LCM(134,271) = ( 134 × 271 ) / 1

LCM(134,271) = 36314 / 1

LCM(134,271) = 36314


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 220/134, 614/271

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 220/134, 614/271?

Answer: GCF of Numerators as per given numbers 220/134, 614/271 is

GCF of Numerators i.e. for 220,614 is 2

LCM of denominators i.e. for 134,271 is 36314.

Thus, GCF of Fractions is 2/36314.Finally, GCF of Fractions for 220/134, 614/271 is 2/36314.