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GCF of 200/424, 179/628

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 200/424, 179/628 i.e 1/66568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 200/424, 179/628.

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 200/424,179/628?

Given fractions are 200/424,179/628

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 200/424,179/628, numerators are 200,179

Denominators are 424,628

The GCF of 200,179 is 1 .

LCM of 424,628 is 66568.

The greatest common factor of 200/424,179/628 = [GCF of 200,179]/[LCM of 424,628]= 1/66568

Therefore, the GCF of 200/424,179/628 is 1/66568.

Greatest Common Factor of 200,179

To find the highest common factor of 200,179, we have to find the factors of both numbers and list the highest common factor.

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

The factors of 179 are 1, 179

The HCF of 200,179 is 1.

Lets's calculate GCF of 200,179

Greatest Common Factor (GCF) of 200,179 By Common Division

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

Greatest Common Factor of 200,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,179 By Matching Biggest Common Factor Method

Now, list down the factors of 200

:

1,2,4,5,8,10,20,25,40,50,100,200

Now, list down the factors of 179

:

1,179

Greatest Common Factor

We found the factors 200,179 . The biggest common factor number is the GCF number.
So the greatest common factor 200,179 is 1.

Lets's calculate LCM of 424,628

Lowest Common Multiple of 424,628 using Common Division

2 424, 628
2 212, 314
106, 157

∴ So the LCM of the given numbers is 2 x 2 x 106 x 157 = 66568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66568

Therefore, the GCF of Fractions 200/424,179/628 is 1/66568

Least Common Multiple of 424,628 with GCF Formula

Least Common Multiple of 424,628 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 424,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,628) = 4

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

GCF(424,628) x common factors =4 x 1 = 4

LCM(424,628) = ( 424 × 628 ) / 4

LCM(424,628) = 266272 / 4

LCM(424,628) = 66568


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FAQs on GCF of Fractions of 200/424, 179/628

1. What is the HCF of 200,179?

The HCF of 200,179 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 200/424, 179/628?

Answer: GCF of Numerators as per given numbers 200/424, 179/628 is

GCF of Numerators i.e. for 200,179 is 1

LCM of denominators i.e. for 424,628 is 66568.

Thus, GCF of Fractions is 1/66568.Finally, GCF of Fractions for 200/424, 179/628 is 1/66568.