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GCF of 580/798, 919/629

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 580/798, 919/629 i.e 1/501942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 580/798, 919/629.

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 580/798,919/629?

Given fractions are 580/798,919/629

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 580/798,919/629, numerators are 580,919

Denominators are 798,629

The GCF of 580,919 is 1 .

LCM of 798,629 is 501942.

The greatest common factor of 580/798,919/629 = [GCF of 580,919]/[LCM of 798,629]= 1/501942

Therefore, the GCF of 580/798,919/629 is 1/501942.

Greatest Common Factor of 580,919

To find the highest common factor of 580,919, we have to find the factors of both numbers and list the highest common factor.

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The factors of 919 are 1, 919

The HCF of 580,919 is 1.

Lets's calculate GCF of 580,919

Greatest Common Factor (GCF) of 580,919 By Common Division

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

Greatest Common Factor of 580,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,919 By Matching Biggest Common Factor Method

Now, list down the factors of 580

:

1,2,4,5,10,20,29,58,116,145,290,580

Now, list down the factors of 919

:

1,919

Greatest Common Factor

We found the factors 580,919 . The biggest common factor number is the GCF number.
So the greatest common factor 580,919 is 1.

Lets's calculate LCM of 798,629

Lowest Common Multiple of 798,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 501942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501942

Therefore, the GCF of Fractions 580/798,919/629 is 1/501942

Least Common Multiple of 798,629 with GCF Formula

Least Common Multiple of 798,629 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 798,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,629) = 1

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

GCF(798,629) x common factors =1 x 1 = 1

LCM(798,629) = ( 798 × 629 ) / 1

LCM(798,629) = 501942 / 1

LCM(798,629) = 501942


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FAQs on GCF of Fractions of 580/798, 919/629

1. What is the HCF of 580,919?

The HCF of 580,919 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 580/798, 919/629?

Answer: GCF of Numerators as per given numbers 580/798, 919/629 is

GCF of Numerators i.e. for 580,919 is 1

LCM of denominators i.e. for 798,629 is 501942.

Thus, GCF of Fractions is 1/501942.Finally, GCF of Fractions for 580/798, 919/629 is 1/501942.