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GCF of 951/289, 4691/814

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 951/289, 4691/814 i.e 1/235246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 951/289, 4691/814.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 951/289,4691/814?

Given fractions are 951/289,4691/814

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 951/289,4691/814, numerators are 951,4691

Denominators are 289,814

The GCF of 951,4691 is 1 .

LCM of 289,814 is 235246.

The greatest common factor of 951/289,4691/814 = [GCF of 951,4691]/[LCM of 289,814]= 1/235246

Therefore, the GCF of 951/289,4691/814 is 1/235246.

Greatest Common Factor of 951,4691

To find the highest common factor of 951,4691, we have to find the factors of both numbers and list the highest common factor.

The factors of 951 are 1, 3, 317, 951

The factors of 4691 are 1, 4691

The HCF of 951,4691 is 1.

Lets's calculate GCF of 951,4691

Greatest Common Factor (GCF) of 951,4691 By Common Division

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

Greatest Common Factor of 951,4691 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,4691 By Matching Biggest Common Factor Method

Now, list down the factors of 951

:

1,3,317,951

Now, list down the factors of 4691

:

1,4691

Greatest Common Factor

We found the factors 951,4691 . The biggest common factor number is the GCF number.
So the greatest common factor 951,4691 is 1.

Lets's calculate LCM of 289,814

Lowest Common Multiple of 289,814 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 235246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235246

Therefore, the GCF of Fractions 951/289,4691/814 is 1/235246

Least Common Multiple of 289,814 with GCF Formula

Least Common Multiple of 289,814 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 289,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,814) = 1

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

GCF(289,814) x common factors =1 x 1 = 1

LCM(289,814) = ( 289 × 814 ) / 1

LCM(289,814) = 235246 / 1

LCM(289,814) = 235246


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FAQs on GCF of Fractions of 951/289, 4691/814

1. What is the HCF of 951,4691?

The HCF of 951,4691 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 951/289, 4691/814?

Answer: GCF of Numerators as per given numbers 951/289, 4691/814 is

GCF of Numerators i.e. for 951,4691 is 1

LCM of denominators i.e. for 289,814 is 235246.

Thus, GCF of Fractions is 1/235246.Finally, GCF of Fractions for 951/289, 4691/814 is 1/235246.