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GCF of 951/34, 391/730

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 951/34, 391/730 i.e 1/12410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 951/34, 391/730.

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 951/34,391/730?

Given fractions are 951/34,391/730

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 951/34,391/730, numerators are 951,391

Denominators are 34,730

The GCF of 951,391 is 1 .

LCM of 34,730 is 12410.

The greatest common factor of 951/34,391/730 = [GCF of 951,391]/[LCM of 34,730]= 1/12410

Therefore, the GCF of 951/34,391/730 is 1/12410.

Greatest Common Factor of 951,391

To find the highest common factor of 951,391, 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 391 are 1, 17, 23, 391

The HCF of 951,391 is 1.

Lets's calculate GCF of 951,391

Greatest Common Factor (GCF) of 951,391 By Common Division

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

Greatest Common Factor of 951,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,391 By Matching Biggest Common Factor Method

Now, list down the factors of 951

:

1,3,317,951

Now, list down the factors of 391

:

1,17,23,391

Greatest Common Factor

We found the factors 951,391 . The biggest common factor number is the GCF number.
So the greatest common factor 951,391 is 1.

Lets's calculate LCM of 34,730

Lowest Common Multiple of 34,730 using Common Division

2 34, 730
17, 365

∴ So the LCM of the given numbers is 2 x 17 x 365 = 12410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12410

Therefore, the GCF of Fractions 951/34,391/730 is 1/12410

Least Common Multiple of 34,730 with GCF Formula

Least Common Multiple of 34,730 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 34,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,730) = 2

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

GCF(34,730) x common factors =2 x 1 = 2

LCM(34,730) = ( 34 × 730 ) / 2

LCM(34,730) = 24820 / 2

LCM(34,730) = 12410


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FAQs on GCF of Fractions of 951/34, 391/730

1. What is the HCF of 951,391?

The HCF of 951,391 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 951/34, 391/730?

Answer: GCF of Numerators as per given numbers 951/34, 391/730 is

GCF of Numerators i.e. for 951,391 is 1

LCM of denominators i.e. for 34,730 is 12410.

Thus, GCF of Fractions is 1/12410.Finally, GCF of Fractions for 951/34, 391/730 is 1/12410.