How to Find GCF of 6751/357, 1909/2981?

GCF of 6751/357, 1909/2981

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 6751/357, 1909/2981 i.e 1/1064217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6751/357, 1909/2981.

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 6751/357,1909/2981?

Given fractions are 6751/357,1909/2981

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 6751/357,1909/2981, numerators are 6751,1909

Denominators are 357,2981

The GCF of 6751,1909 is 1 .

LCM of 357,2981 is 1064217.

The greatest common factor of 6751/357,1909/2981 = [GCF of 6751,1909]/[LCM of 357,2981]= 1/1064217

Therefore, the GCF of 6751/357,1909/2981 is 1/1064217.

Greatest Common Factor of 6751,1909

To find the highest common factor of 6751,1909, we have to find the factors of both numbers and list the highest common factor.

The factors of 6751 are 1, 43, 157, 6751

The factors of 1909 are 1, 23, 83, 1909

The HCF of 6751,1909 is 1.

Lets's calculate GCF of 6751,1909

Greatest Common Factor (GCF) of 6751,1909 By Common Division

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

Greatest Common Factor of 6751,1909 By Matching Biggest Common Factor Method

Now, list down the factors of 6751

1,43,157,6751

Now, list down the factors of 1909

1,23,83,1909

Greatest Common Factor

We found the factors 6751,1909 . The biggest common factor number is the GCF number.
So the greatest common factor 6751,1909 is 1.

Lets's calculate LCM of 357,2981

Lowest Common Multiple of 357,2981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1064217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1064217

Therefore, the GCF of Fractions 6751/357,1909/2981 is 1/1064217

Least Common Multiple of 357,2981 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 357,2981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,2981) = 1

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

GCF(357,2981) x common factors =1 x 1 = 1

LCM(357,2981) = ( 357 × 2981 ) / 1

LCM(357,2981) = 1064217 / 1

LCM(357,2981) = 1064217

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FAQs on GCF of Fractions of 6751/357, 1909/2981

1. What is the HCF of 6751,1909?

The HCF of 6751,1909 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 6751/357, 1909/2981?

Answer: GCF of Numerators as per given numbers 6751/357, 1909/2981 is

GCF of Numerators i.e. for 6751,1909 is 1

LCM of denominators i.e. for 357,2981 is 1064217.

Thus, GCF of Fractions is 1/1064217.Finally, GCF of Fractions for 6751/357, 1909/2981 is 1/1064217.