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GCF of 563/492, 1659/420

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 563/492, 1659/420 i.e 1/17220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 563/492, 1659/420.

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 563/492,1659/420?

Given fractions are 563/492,1659/420

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 563/492,1659/420, numerators are 563,1659

Denominators are 492,420

The GCF of 563,1659 is 1 .

LCM of 492,420 is 17220.

The greatest common factor of 563/492,1659/420 = [GCF of 563,1659]/[LCM of 492,420]= 1/17220

Therefore, the GCF of 563/492,1659/420 is 1/17220.

Greatest Common Factor of 563,1659

To find the highest common factor of 563,1659, we have to find the factors of both numbers and list the highest common factor.

The factors of 563 are 1, 563

The factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659

The HCF of 563,1659 is 1.

Lets's calculate GCF of 563,1659

Greatest Common Factor (GCF) of 563,1659 By Common Division

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

Greatest Common Factor of 563,1659 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,1659 By Matching Biggest Common Factor Method

Now, list down the factors of 563

:

1,563

Now, list down the factors of 1659

:

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors 563,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 563,1659 is 1.

Lets's calculate LCM of 492,420

Lowest Common Multiple of 492,420 using Common Division

2 492, 420
2 246, 210
3 123, 105
41, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 35 = 17220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17220

Therefore, the GCF of Fractions 563/492,1659/420 is 1/17220

Least Common Multiple of 492,420 with GCF Formula

Least Common Multiple of 492,420 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 492,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,420) = 12

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

GCF(492,420) x common factors =12 x 1 = 12

LCM(492,420) = ( 492 × 420 ) / 12

LCM(492,420) = 206640 / 12

LCM(492,420) = 17220


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FAQs on GCF of Fractions of 563/492, 1659/420

1. What is the HCF of 563,1659?

The HCF of 563,1659 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 563/492, 1659/420?

Answer: GCF of Numerators as per given numbers 563/492, 1659/420 is

GCF of Numerators i.e. for 563,1659 is 1

LCM of denominators i.e. for 492,420 is 17220.

Thus, GCF of Fractions is 1/17220.Finally, GCF of Fractions for 563/492, 1659/420 is 1/17220.