Greatest Common Factor of 30/44, 42/97, 861/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/44, 42/97, 861/301

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 30/44,42/97,861/301

Given fractions are 30/44,42/97,861/301

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 30,42,861

Greatest Common Factor of Numerators i.e. GCF of 30,42,861 is 3 .

LCM of Denominators means LCM of 44,97,301 as per the given fractions.

LCM of 44,97,301 is 1284668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,42,861

GCF of Fractions 30/44,42/97,861/301 is 3/1284668

3 30, 42, 861
10, 14, 287

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 30,42,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,42,861 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 30,42,861 . The biggest common factor number is the GCF number.
So the greatest common factor 30,42,861 is 3.

Lets's calculate LCM of 44,97,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 1284668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1284668

Therefore, the GCF of Fractions 30/44,42/97,861/301 is 3/1284668

Least Common Multiple of 44,97,301 with GCF Formula

Least Common Multiple of 44,97,301 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 44,97,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,97,301) = 1

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

GCF(44,97,301) x common factors =1 x 1 = 1

LCM(44,97,301) = ( 44 × 97 × 301 ) / 1

LCM(44,97,301) = 1284668 / 1

LCM(44,97,301) = 1284668


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 30/44, 42/97, 861/301

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 30/44, 42/97, 861/301?

Answer: GCF of Numerators as per given numbers 30/44, 42/97, 861/301 is

GCF of Numerators i.e. for 30,42,861 is 3

LCM of denominators i.e. for 44,97,301 is 1284668.

Thus, GCF of Fractions is 3/1284668.Finally, GCF of Fractions for 30/44, 42/97, 861/301 is 3/1284668.