How to Find GCF of 957/918, 377/343?

GCF of 957/918, 377/343

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 957/918, 377/343 i.e 29/314874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/918, 377/343.

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 957/918,377/343?

Given fractions are 957/918,377/343

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 957/918,377/343, numerators are 957,377

Denominators are 918,343

The GCF of 957,377 is 29 .

LCM of 918,343 is 314874.

The greatest common factor of 957/918,377/343 = [GCF of 957,377]/[LCM of 918,343]= 29/314874

Therefore, the GCF of 957/918,377/343 is 29/314874.

Greatest Common Factor of 957,377

To find the highest common factor of 957,377, 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 377 are 1, 13, 29, 377

The HCF of 957,377 is 29.

Lets's calculate GCF of 957,377

Greatest Common Factor (GCF) of 957,377 By Common Division

29	957, 377
	33, 13

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 957,377 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 377

1,13,29,377

Greatest Common Factor

We found the factors 957,377 . The biggest common factor number is the GCF number.
So the greatest common factor 957,377 is 29.

Lets's calculate LCM of 918,343

Lowest Common Multiple of 918,343 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 314874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/314874

Therefore, the GCF of Fractions 957/918,377/343 is 29/314874

Least Common Multiple of 918,343 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 918,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,343) = 1

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

GCF(918,343) x common factors =1 x 1 = 1

LCM(918,343) = ( 918 × 343 ) / 1

LCM(918,343) = 314874 / 1

LCM(918,343) = 314874

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FAQs on GCF of Fractions of 957/918, 377/343

1. What is the HCF of 957,377?

The HCF of 957,377 is 29

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 957/918, 377/343?

Answer: GCF of Numerators as per given numbers 957/918, 377/343 is

GCF of Numerators i.e. for 957,377 is 29

LCM of denominators i.e. for 918,343 is 314874.

Thus, GCF of Fractions is 29/314874.Finally, GCF of Fractions for 957/918, 377/343 is 29/314874.