How to Find GCF of 957/334, 814/939?

GCF of 957/334, 814/939

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 957/334, 814/939 i.e 11/313626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/334, 814/939.

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 957/334,814/939?

Given fractions are 957/334,814/939

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 957/334,814/939, numerators are 957,814

Denominators are 334,939

The GCF of 957,814 is 11 .

LCM of 334,939 is 313626.

The greatest common factor of 957/334,814/939 = [GCF of 957,814]/[LCM of 334,939]= 11/313626

Therefore, the GCF of 957/334,814/939 is 11/313626.

Greatest Common Factor of 957,814

To find the highest common factor of 957,814, we have to find the factors of both numbers and list the highest common factor.

The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957

The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814

The HCF of 957,814 is 11.

Lets's calculate GCF of 957,814

Greatest Common Factor (GCF) of 957,814 By Common Division

11	957, 814
	87, 74

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 957,814 By Matching Biggest Common Factor Method

Now, list down the factors of 957

1,3,11,29,33,87,319,957

Now, list down the factors of 814

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 957,814 . The biggest common factor number is the GCF number.
So the greatest common factor 957,814 is 11.

Lets's calculate LCM of 334,939

Lowest Common Multiple of 334,939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 313626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/313626

Therefore, the GCF of Fractions 957/334,814/939 is 11/313626

Least Common Multiple of 334,939 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 334,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,939) = 1

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

GCF(334,939) x common factors =1 x 1 = 1

LCM(334,939) = ( 334 × 939 ) / 1

LCM(334,939) = 313626 / 1

LCM(334,939) = 313626

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FAQs on GCF of Fractions of 957/334, 814/939

1. What is the HCF of 957,814?

The HCF of 957,814 is 11

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 957/334, 814/939?

Answer: GCF of Numerators as per given numbers 957/334, 814/939 is

GCF of Numerators i.e. for 957,814 is 11

LCM of denominators i.e. for 334,939 is 313626.

Thus, GCF of Fractions is 11/313626.Finally, GCF of Fractions for 957/334, 814/939 is 11/313626.