How to Find GCF of 21/113, 59/690, 313/118?

GCF of 21/113, 59/690, 313/118

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 21/113, 59/690, 313/118 i.e 1/4600230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/113, 59/690, 313/118.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 21/113,59/690,313/118?

Given fractions are 21/113,59/690,313/118

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 21/113,59/690,313/118, numerators are 21,59,313

Denominators are 113,690,118

The GCF of 21,59,313 is 1 .

LCM of 113,690,118 is 4600230.

The greatest common factor of 21/113,59/690,313/118 = [GCF of 21,59,313]/[LCM of 113,690,118]= 1/4600230

Therefore, the GCF of 21/113,59/690,313/118 is 1/4600230.

Greatest Common Factor of 21,59,313

To find the highest common factor of 21,59,313, we have to find the factors of both numbers and list the highest common factor.

The factors of 21 are 1, 3, 7, 21

The factors of 59 are 1, 59

The factors of 313 are 1, 313

The HCF of 21,59,313 is 1.

Lets's calculate GCF of 21,59,313

Greatest Common Factor (GCF) of 21,59,313 By Common Division

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

Greatest Common Factor of 21,59,313 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 59

1,59

Now, list down the factors of 313

1,313

Greatest Common Factor

We found the factors 21,59,313 . The biggest common factor number is the GCF number.
So the greatest common factor 21,59,313 is 1.

Lets's calculate LCM of 113,690,118

Lowest Common Multiple of 113,690,118 using Common Division

2	113, 690, 118
	113, 345, 59

∴ So the LCM of the given numbers is 2 x 113 x 345 x 59 = 4600230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4600230

Therefore, the GCF of Fractions 21/113,59/690,313/118 is 1/4600230

Least Common Multiple of 113,690,118 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 113,690,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,690,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(113,690,118) x common factors =1 x 2 = 2

LCM(113,690,118) = ( 113 × 690 × 118 ) / 2

LCM(113,690,118) = 9200460 / 2

LCM(113,690,118) = 4600230

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FAQs on GCF of Fractions of 21/113, 59/690, 313/118

1. What is the HCF of 21,59,313?

The HCF of 21,59,313 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 21/113, 59/690, 313/118?

Answer: GCF of Numerators as per given numbers 21/113, 59/690, 313/118 is

GCF of Numerators i.e. for 21,59,313 is 1

LCM of denominators i.e. for 113,690,118 is 4600230.

Thus, GCF of Fractions is 1/4600230.Finally, GCF of Fractions for 21/113, 59/690, 313/118 is 1/4600230.