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GCF of 955/274, 958/334

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 955/274, 958/334 i.e 1/45758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 955/274, 958/334.

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 955/274,958/334?

Given fractions are 955/274,958/334

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 955/274,958/334, numerators are 955,958

Denominators are 274,334

The GCF of 955,958 is 1 .

LCM of 274,334 is 45758.

The greatest common factor of 955/274,958/334 = [GCF of 955,958]/[LCM of 274,334]= 1/45758

Therefore, the GCF of 955/274,958/334 is 1/45758.

Greatest Common Factor of 955,958

To find the highest common factor of 955,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 955 are 1, 5, 191, 955

The factors of 958 are 1, 2, 479, 958

The HCF of 955,958 is 1.

Lets's calculate GCF of 955,958

Greatest Common Factor (GCF) of 955,958 By Common Division

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

Greatest Common Factor of 955,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,958 By Matching Biggest Common Factor Method

Now, list down the factors of 955

:

1,5,191,955

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 955,958 . The biggest common factor number is the GCF number.
So the greatest common factor 955,958 is 1.

Lets's calculate LCM of 274,334

Lowest Common Multiple of 274,334 using Common Division

2 274, 334
137, 167

∴ So the LCM of the given numbers is 2 x 137 x 167 = 45758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45758

Therefore, the GCF of Fractions 955/274,958/334 is 1/45758

Least Common Multiple of 274,334 with GCF Formula

Least Common Multiple of 274,334 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 274,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,334) = 2

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

GCF(274,334) x common factors =2 x 1 = 2

LCM(274,334) = ( 274 × 334 ) / 2

LCM(274,334) = 91516 / 2

LCM(274,334) = 45758


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FAQs on GCF of Fractions of 955/274, 958/334

1. What is the HCF of 955,958?

The HCF of 955,958 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 955/274, 958/334?

Answer: GCF of Numerators as per given numbers 955/274, 958/334 is

GCF of Numerators i.e. for 955,958 is 1

LCM of denominators i.e. for 274,334 is 45758.

Thus, GCF of Fractions is 1/45758.Finally, GCF of Fractions for 955/274, 958/334 is 1/45758.