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GCF of 564/469, 619/629

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 564/469, 619/629 i.e 1/295001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 564/469, 619/629.

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 564/469,619/629?

Given fractions are 564/469,619/629

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 564/469,619/629, numerators are 564,619

Denominators are 469,629

The GCF of 564,619 is 1 .

LCM of 469,629 is 295001.

The greatest common factor of 564/469,619/629 = [GCF of 564,619]/[LCM of 469,629]= 1/295001

Therefore, the GCF of 564/469,619/629 is 1/295001.

Greatest Common Factor of 564,619

To find the highest common factor of 564,619, we have to find the factors of both numbers and list the highest common factor.

The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

The factors of 619 are 1, 619

The HCF of 564,619 is 1.

Lets's calculate GCF of 564,619

Greatest Common Factor (GCF) of 564,619 By Common Division

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

Greatest Common Factor of 564,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,619 By Matching Biggest Common Factor Method

Now, list down the factors of 564

:

1,2,3,4,6,12,47,94,141,188,282,564

Now, list down the factors of 619

:

1,619

Greatest Common Factor

We found the factors 564,619 . The biggest common factor number is the GCF number.
So the greatest common factor 564,619 is 1.

Lets's calculate LCM of 469,629

Lowest Common Multiple of 469,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 295001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295001

Therefore, the GCF of Fractions 564/469,619/629 is 1/295001

Least Common Multiple of 469,629 with GCF Formula

Least Common Multiple of 469,629 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 469,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,629) = 1

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

GCF(469,629) x common factors =1 x 1 = 1

LCM(469,629) = ( 469 × 629 ) / 1

LCM(469,629) = 295001 / 1

LCM(469,629) = 295001


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FAQs on GCF of Fractions of 564/469, 619/629

1. What is the HCF of 564,619?

The HCF of 564,619 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 564/469, 619/629?

Answer: GCF of Numerators as per given numbers 564/469, 619/629 is

GCF of Numerators i.e. for 564,619 is 1

LCM of denominators i.e. for 469,629 is 295001.

Thus, GCF of Fractions is 1/295001.Finally, GCF of Fractions for 564/469, 619/629 is 1/295001.