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GCF of 679/20, 499/572

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 679/20, 499/572 i.e 1/2860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/20, 499/572.

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 679/20,499/572?

Given fractions are 679/20,499/572

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 679/20,499/572, numerators are 679,499

Denominators are 20,572

The GCF of 679,499 is 1 .

LCM of 20,572 is 2860.

The greatest common factor of 679/20,499/572 = [GCF of 679,499]/[LCM of 20,572]= 1/2860

Therefore, the GCF of 679/20,499/572 is 1/2860.

Greatest Common Factor of 679,499

To find the highest common factor of 679,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 679 are 1, 7, 97, 679

The factors of 499 are 1, 499

The HCF of 679,499 is 1.

Lets's calculate GCF of 679,499

Greatest Common Factor (GCF) of 679,499 By Common Division

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

Greatest Common Factor of 679,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,499 By Matching Biggest Common Factor Method

Now, list down the factors of 679

:

1,7,97,679

Now, list down the factors of 499

:

1,499

Greatest Common Factor

We found the factors 679,499 . The biggest common factor number is the GCF number.
So the greatest common factor 679,499 is 1.

Lets's calculate LCM of 20,572

Lowest Common Multiple of 20,572 using Common Division

2 20, 572
2 10, 286
5, 143

∴ So the LCM of the given numbers is 2 x 2 x 5 x 143 = 2860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2860

Therefore, the GCF of Fractions 679/20,499/572 is 1/2860

Least Common Multiple of 20,572 with GCF Formula

Least Common Multiple of 20,572 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 20,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,572) = 4

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

GCF(20,572) x common factors =4 x 1 = 4

LCM(20,572) = ( 20 × 572 ) / 4

LCM(20,572) = 11440 / 4

LCM(20,572) = 2860


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FAQs on GCF of Fractions of 679/20, 499/572

1. What is the HCF of 679,499?

The HCF of 679,499 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 679/20, 499/572?

Answer: GCF of Numerators as per given numbers 679/20, 499/572 is

GCF of Numerators i.e. for 679,499 is 1

LCM of denominators i.e. for 20,572 is 2860.

Thus, GCF of Fractions is 1/2860.Finally, GCF of Fractions for 679/20, 499/572 is 1/2860.