How to Find GCF of 71/92, 58/539, 416/457?

GCF of 71/92, 58/539, 416/457

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 71/92, 58/539, 416/457 i.e 1/22661716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/92, 58/539, 416/457.

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 71/92,58/539,416/457?

Given fractions are 71/92,58/539,416/457

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 71/92,58/539,416/457, numerators are 71,58,416

Denominators are 92,539,457

The GCF of 71,58,416 is 1 .

LCM of 92,539,457 is 22661716.

The greatest common factor of 71/92,58/539,416/457 = [GCF of 71,58,416]/[LCM of 92,539,457]= 1/22661716

Therefore, the GCF of 71/92,58/539,416/457 is 1/22661716.

Greatest Common Factor of 71,58,416

To find the highest common factor of 71,58,416, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

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

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The HCF of 71,58,416 is 1.

Lets's calculate GCF of 71,58,416

Greatest Common Factor (GCF) of 71,58,416 By Common Division

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

Greatest Common Factor of 71,58,416 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 416

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 71,58,416 . The biggest common factor number is the GCF number.
So the greatest common factor 71,58,416 is 1.

Lets's calculate LCM of 92,539,457

Lowest Common Multiple of 92,539,457 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22661716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22661716

Therefore, the GCF of Fractions 71/92,58/539,416/457 is 1/22661716

Least Common Multiple of 92,539,457 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 92,539,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,539,457) = 1

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

GCF(92,539,457) x common factors =1 x 1 = 1

LCM(92,539,457) = ( 92 × 539 × 457 ) / 1

LCM(92,539,457) = 22661716 / 1

LCM(92,539,457) = 22661716

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FAQs on GCF of Fractions of 71/92, 58/539, 416/457

1. What is the HCF of 71,58,416?

The HCF of 71,58,416 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 71/92, 58/539, 416/457?

Answer: GCF of Numerators as per given numbers 71/92, 58/539, 416/457 is

GCF of Numerators i.e. for 71,58,416 is 1

LCM of denominators i.e. for 92,539,457 is 22661716.

Thus, GCF of Fractions is 1/22661716.Finally, GCF of Fractions for 71/92, 58/539, 416/457 is 1/22661716.