How to Find GCF of 1054/471, 4139/976?

GCF of 1054/471, 4139/976

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 1054/471, 4139/976 i.e 1/459696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1054/471, 4139/976.

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 1054/471,4139/976?

Given fractions are 1054/471,4139/976

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 1054/471,4139/976, numerators are 1054,4139

Denominators are 471,976

The GCF of 1054,4139 is 1 .

LCM of 471,976 is 459696.

The greatest common factor of 1054/471,4139/976 = [GCF of 1054,4139]/[LCM of 471,976]= 1/459696

Therefore, the GCF of 1054/471,4139/976 is 1/459696.

Greatest Common Factor of 1054,4139

To find the highest common factor of 1054,4139, we have to find the factors of both numbers and list the highest common factor.

The factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054

The factors of 4139 are 1, 4139

The HCF of 1054,4139 is 1.

Lets's calculate GCF of 1054,4139

Greatest Common Factor (GCF) of 1054,4139 By Common Division

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

Greatest Common Factor of 1054,4139 By Matching Biggest Common Factor Method

Now, list down the factors of 1054

1,2,17,31,34,62,527,1054

Now, list down the factors of 4139

1,4139

Greatest Common Factor

We found the factors 1054,4139 . The biggest common factor number is the GCF number.
So the greatest common factor 1054,4139 is 1.

Lets's calculate LCM of 471,976

Lowest Common Multiple of 471,976 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 459696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459696

Therefore, the GCF of Fractions 1054/471,4139/976 is 1/459696

Least Common Multiple of 471,976 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 471,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,976) = 1

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

GCF(471,976) x common factors =1 x 1 = 1

LCM(471,976) = ( 471 × 976 ) / 1

LCM(471,976) = 459696 / 1

LCM(471,976) = 459696

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FAQs on GCF of Fractions of 1054/471, 4139/976

1. What is the HCF of 1054,4139?

The HCF of 1054,4139 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 1054/471, 4139/976?

Answer: GCF of Numerators as per given numbers 1054/471, 4139/976 is

GCF of Numerators i.e. for 1054,4139 is 1

LCM of denominators i.e. for 471,976 is 459696.

Thus, GCF of Fractions is 1/459696.Finally, GCF of Fractions for 1054/471, 4139/976 is 1/459696.