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GCF of 530/422, 643/686

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 530/422, 643/686 i.e 1/144746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/422, 643/686.

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 530/422,643/686?

Given fractions are 530/422,643/686

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 530/422,643/686, numerators are 530,643

Denominators are 422,686

The GCF of 530,643 is 1 .

LCM of 422,686 is 144746.

The greatest common factor of 530/422,643/686 = [GCF of 530,643]/[LCM of 422,686]= 1/144746

Therefore, the GCF of 530/422,643/686 is 1/144746.

Greatest Common Factor of 530,643

To find the highest common factor of 530,643, we have to find the factors of both numbers and list the highest common factor.

The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530

The factors of 643 are 1, 643

The HCF of 530,643 is 1.

Lets's calculate GCF of 530,643

Greatest Common Factor (GCF) of 530,643 By Common Division

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

Greatest Common Factor of 530,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,643 By Matching Biggest Common Factor Method

Now, list down the factors of 530

:

1,2,5,10,53,106,265,530

Now, list down the factors of 643

:

1,643

Greatest Common Factor

We found the factors 530,643 . The biggest common factor number is the GCF number.
So the greatest common factor 530,643 is 1.

Lets's calculate LCM of 422,686

Lowest Common Multiple of 422,686 using Common Division

2 422, 686
211, 343

∴ So the LCM of the given numbers is 2 x 211 x 343 = 144746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144746

Therefore, the GCF of Fractions 530/422,643/686 is 1/144746

Least Common Multiple of 422,686 with GCF Formula

Least Common Multiple of 422,686 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 422,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,686) = 2

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

GCF(422,686) x common factors =2 x 1 = 2

LCM(422,686) = ( 422 × 686 ) / 2

LCM(422,686) = 289492 / 2

LCM(422,686) = 144746


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FAQs on GCF of Fractions of 530/422, 643/686

1. What is the HCF of 530,643?

The HCF of 530,643 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 530/422, 643/686?

Answer: GCF of Numerators as per given numbers 530/422, 643/686 is

GCF of Numerators i.e. for 530,643 is 1

LCM of denominators i.e. for 422,686 is 144746.

Thus, GCF of Fractions is 1/144746.Finally, GCF of Fractions for 530/422, 643/686 is 1/144746.