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GCF of 358/958, 4657/5400

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 358/958, 4657/5400 i.e 1/2586600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/958, 4657/5400.

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 358/958,4657/5400?

Given fractions are 358/958,4657/5400

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 358/958,4657/5400, numerators are 358,4657

Denominators are 958,5400

The GCF of 358,4657 is 1 .

LCM of 958,5400 is 2586600.

The greatest common factor of 358/958,4657/5400 = [GCF of 358,4657]/[LCM of 958,5400]= 1/2586600

Therefore, the GCF of 358/958,4657/5400 is 1/2586600.

Greatest Common Factor of 358,4657

To find the highest common factor of 358,4657, we have to find the factors of both numbers and list the highest common factor.

The factors of 358 are 1, 2, 179, 358

The factors of 4657 are 1, 4657

The HCF of 358,4657 is 1.

Lets's calculate GCF of 358,4657

Greatest Common Factor (GCF) of 358,4657 By Common Division

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

Greatest Common Factor of 358,4657 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,4657 By Matching Biggest Common Factor Method

Now, list down the factors of 358

:

1,2,179,358

Now, list down the factors of 4657

:

1,4657

Greatest Common Factor

We found the factors 358,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 358,4657 is 1.

Lets's calculate LCM of 958,5400

Lowest Common Multiple of 958,5400 using Common Division

2 958, 5400
479, 2700

∴ So the LCM of the given numbers is 2 x 479 x 2700 = 2586600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2586600

Therefore, the GCF of Fractions 358/958,4657/5400 is 1/2586600

Least Common Multiple of 958,5400 with GCF Formula

Least Common Multiple of 958,5400 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 958,5400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,5400) = 2

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

GCF(958,5400) x common factors =2 x 1 = 2

LCM(958,5400) = ( 958 × 5400 ) / 2

LCM(958,5400) = 5173200 / 2

LCM(958,5400) = 2586600


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FAQs on GCF of Fractions of 358/958, 4657/5400

1. What is the HCF of 358,4657?

The HCF of 358,4657 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 358/958, 4657/5400?

Answer: GCF of Numerators as per given numbers 358/958, 4657/5400 is

GCF of Numerators i.e. for 358,4657 is 1

LCM of denominators i.e. for 958,5400 is 2586600.

Thus, GCF of Fractions is 1/2586600.Finally, GCF of Fractions for 358/958, 4657/5400 is 1/2586600.