Greatest Common Factor of 61/306, 112/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/306, 112/293

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 61/306,112/293

Given fractions are 61/306,112/293

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 61,112

Greatest Common Factor of Numerators i.e. GCF of 61,112 is 1 .

LCM of Denominators means LCM of 306,293 as per the given fractions.

LCM of 306,293 is 89658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,112

GCF of Fractions 61/306,112/293 is 1/89658

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

Greatest Common Factor of 61,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,112 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 61,112 . The biggest common factor number is the GCF number.
So the greatest common factor 61,112 is 1.

Lets's calculate LCM of 306,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 89658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89658

Therefore, the GCF of Fractions 61/306,112/293 is 1/89658

Least Common Multiple of 306,293 with GCF Formula

Least Common Multiple of 306,293 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 306,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,293) = 1

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

GCF(306,293) x common factors =1 x 1 = 1

LCM(306,293) = ( 306 × 293 ) / 1

LCM(306,293) = 89658 / 1

LCM(306,293) = 89658


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 61/306, 112/293

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 61/306, 112/293?

Answer: GCF of Numerators as per given numbers 61/306, 112/293 is

GCF of Numerators i.e. for 61,112 is 1

LCM of denominators i.e. for 306,293 is 89658.

Thus, GCF of Fractions is 1/89658.Finally, GCF of Fractions for 61/306, 112/293 is 1/89658.