Greatest Common Factor of 7/42, 106/77, 226/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/42, 106/77, 226/74

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 7/42,106/77,226/74

Given fractions are 7/42,106/77,226/74

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 7,106,226

Greatest Common Factor of Numerators i.e. GCF of 7,106,226 is 1 .

LCM of Denominators means LCM of 42,77,74 as per the given fractions.

LCM of 42,77,74 is 17094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,106,226

GCF of Fractions 7/42,106/77,226/74 is 1/17094

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

Greatest Common Factor of 7,106,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,106,226 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 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 7,106,226 . The biggest common factor number is the GCF number.
So the greatest common factor 7,106,226 is 1.

Lets's calculate LCM of 42,77,74

2 42, 77, 74
7 21, 77, 37
3, 11, 37

∴ So the LCM of the given numbers is 2 x 7 x 3 x 11 x 37 = 17094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17094

Therefore, the GCF of Fractions 7/42,106/77,226/74 is 1/17094

Least Common Multiple of 42,77,74 with GCF Formula

Least Common Multiple of 42,77,74 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 42,77,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,77,74) = 1

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

GCF(42,77,74) x common factors =1 x 14 = 14

LCM(42,77,74) = ( 42 × 77 × 74 ) / 14

LCM(42,77,74) = 239316 / 14

LCM(42,77,74) = 17094


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 7/42, 106/77, 226/74

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 7/42, 106/77, 226/74?

Answer: GCF of Numerators as per given numbers 7/42, 106/77, 226/74 is

GCF of Numerators i.e. for 7,106,226 is 1

LCM of denominators i.e. for 42,77,74 is 17094.

Thus, GCF of Fractions is 1/17094.Finally, GCF of Fractions for 7/42, 106/77, 226/74 is 1/17094.