How to Find GCF of 3051/716, 1114/8981?

GCF of 3051/716, 1114/8981

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 3051/716, 1114/8981 i.e 1/6430396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3051/716, 1114/8981.

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 3051/716,1114/8981?

Given fractions are 3051/716,1114/8981

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 3051/716,1114/8981, numerators are 3051,1114

Denominators are 716,8981

The GCF of 3051,1114 is 1 .

LCM of 716,8981 is 6430396.

The greatest common factor of 3051/716,1114/8981 = [GCF of 3051,1114]/[LCM of 716,8981]= 1/6430396

Therefore, the GCF of 3051/716,1114/8981 is 1/6430396.

Greatest Common Factor of 3051,1114

To find the highest common factor of 3051,1114, we have to find the factors of both numbers and list the highest common factor.

The factors of 3051 are 1, 3, 9, 27, 113, 339, 1017, 3051

The factors of 1114 are 1, 2, 557, 1114

The HCF of 3051,1114 is 1.

Lets's calculate GCF of 3051,1114

Greatest Common Factor (GCF) of 3051,1114 By Common Division

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

Greatest Common Factor of 3051,1114 By Matching Biggest Common Factor Method

Now, list down the factors of 3051

1,3,9,27,113,339,1017,3051

Now, list down the factors of 1114

1,2,557,1114

Greatest Common Factor

We found the factors 3051,1114 . The biggest common factor number is the GCF number.
So the greatest common factor 3051,1114 is 1.

Lets's calculate LCM of 716,8981

Lowest Common Multiple of 716,8981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6430396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6430396

Therefore, the GCF of Fractions 3051/716,1114/8981 is 1/6430396

Least Common Multiple of 716,8981 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 716,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,8981) = 1

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

GCF(716,8981) x common factors =1 x 1 = 1

LCM(716,8981) = ( 716 × 8981 ) / 1

LCM(716,8981) = 6430396 / 1

LCM(716,8981) = 6430396

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FAQs on GCF of Fractions of 3051/716, 1114/8981

1. What is the HCF of 3051,1114?

The HCF of 3051,1114 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 3051/716, 1114/8981?

Answer: GCF of Numerators as per given numbers 3051/716, 1114/8981 is

GCF of Numerators i.e. for 3051,1114 is 1

LCM of denominators i.e. for 716,8981 is 6430396.

Thus, GCF of Fractions is 1/6430396.Finally, GCF of Fractions for 3051/716, 1114/8981 is 1/6430396.