How to Find GCF of 58/956, 39/799, 991/357?

GCF of 58/956, 39/799, 991/357

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 58/956, 39/799, 991/357 i.e 1/16040724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/956, 39/799, 991/357.

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 58/956,39/799,991/357?

Given fractions are 58/956,39/799,991/357

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 58/956,39/799,991/357, numerators are 58,39,991

Denominators are 956,799,357

The GCF of 58,39,991 is 1 .

LCM of 956,799,357 is 16040724.

The greatest common factor of 58/956,39/799,991/357 = [GCF of 58,39,991]/[LCM of 956,799,357]= 1/16040724

Therefore, the GCF of 58/956,39/799,991/357 is 1/16040724.

Greatest Common Factor of 58,39,991

To find the highest common factor of 58,39,991, we have to find the factors of both numbers and list the highest common factor.

The factors of 58 are 1, 2, 29, 58

The factors of 39 are 1, 3, 13, 39

The factors of 991 are 1, 991

The HCF of 58,39,991 is 1.

Lets's calculate GCF of 58,39,991

Greatest Common Factor (GCF) of 58,39,991 By Common Division

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

Greatest Common Factor of 58,39,991 By Matching Biggest Common Factor Method

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 39

1,3,13,39

Now, list down the factors of 991

1,991

Greatest Common Factor

We found the factors 58,39,991 . The biggest common factor number is the GCF number.
So the greatest common factor 58,39,991 is 1.

Lets's calculate LCM of 956,799,357

Lowest Common Multiple of 956,799,357 using Common Division

17	956, 799, 357
	956, 47, 21

∴ So the LCM of the given numbers is 17 x 956 x 47 x 21 = 16040724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16040724

Therefore, the GCF of Fractions 58/956,39/799,991/357 is 1/16040724

Least Common Multiple of 956,799,357 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 956,799,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,799,357) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(956,799,357) x common factors =1 x 17 = 17

LCM(956,799,357) = ( 956 × 799 × 357 ) / 17

LCM(956,799,357) = 272692308 / 17

LCM(956,799,357) = 16040724

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 58/956, 39/799, 991/357

1. What is the HCF of 58,39,991?

The HCF of 58,39,991 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 58/956, 39/799, 991/357?

Answer: GCF of Numerators as per given numbers 58/956, 39/799, 991/357 is

GCF of Numerators i.e. for 58,39,991 is 1

LCM of denominators i.e. for 956,799,357 is 16040724.

Thus, GCF of Fractions is 1/16040724.Finally, GCF of Fractions for 58/956, 39/799, 991/357 is 1/16040724.