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GCF of 820/496, 719/646

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 820/496, 719/646 i.e 1/160208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 820/496, 719/646.

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 820/496,719/646?

Given fractions are 820/496,719/646

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 820/496,719/646, numerators are 820,719

Denominators are 496,646

The GCF of 820,719 is 1 .

LCM of 496,646 is 160208.

The greatest common factor of 820/496,719/646 = [GCF of 820,719]/[LCM of 496,646]= 1/160208

Therefore, the GCF of 820/496,719/646 is 1/160208.

Greatest Common Factor of 820,719

To find the highest common factor of 820,719, we have to find the factors of both numbers and list the highest common factor.

The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

The factors of 719 are 1, 719

The HCF of 820,719 is 1.

Lets's calculate GCF of 820,719

Greatest Common Factor (GCF) of 820,719 By Common Division

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

Greatest Common Factor of 820,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,719 By Matching Biggest Common Factor Method

Now, list down the factors of 820

:

1,2,4,5,10,20,41,82,164,205,410,820

Now, list down the factors of 719

:

1,719

Greatest Common Factor

We found the factors 820,719 . The biggest common factor number is the GCF number.
So the greatest common factor 820,719 is 1.

Lets's calculate LCM of 496,646

Lowest Common Multiple of 496,646 using Common Division

2 496, 646
248, 323

∴ So the LCM of the given numbers is 2 x 248 x 323 = 160208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160208

Therefore, the GCF of Fractions 820/496,719/646 is 1/160208

Least Common Multiple of 496,646 with GCF Formula

Least Common Multiple of 496,646 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 496,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,646) = 2

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

GCF(496,646) x common factors =2 x 1 = 2

LCM(496,646) = ( 496 × 646 ) / 2

LCM(496,646) = 320416 / 2

LCM(496,646) = 160208


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FAQs on GCF of Fractions of 820/496, 719/646

1. What is the HCF of 820,719?

The HCF of 820,719 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 820/496, 719/646?

Answer: GCF of Numerators as per given numbers 820/496, 719/646 is

GCF of Numerators i.e. for 820,719 is 1

LCM of denominators i.e. for 496,646 is 160208.

Thus, GCF of Fractions is 1/160208.Finally, GCF of Fractions for 820/496, 719/646 is 1/160208.