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GCF of 626/812, 821/464

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 626/812, 821/464 i.e 1/3248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 626/812, 821/464.

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 626/812,821/464?

Given fractions are 626/812,821/464

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 626/812,821/464, numerators are 626,821

Denominators are 812,464

The GCF of 626,821 is 1 .

LCM of 812,464 is 3248.

The greatest common factor of 626/812,821/464 = [GCF of 626,821]/[LCM of 812,464]= 1/3248

Therefore, the GCF of 626/812,821/464 is 1/3248.

Greatest Common Factor of 626,821

To find the highest common factor of 626,821, we have to find the factors of both numbers and list the highest common factor.

The factors of 626 are 1, 2, 313, 626

The factors of 821 are 1, 821

The HCF of 626,821 is 1.

Lets's calculate GCF of 626,821

Greatest Common Factor (GCF) of 626,821 By Common Division

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

Greatest Common Factor of 626,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,821 By Matching Biggest Common Factor Method

Now, list down the factors of 626

:

1,2,313,626

Now, list down the factors of 821

:

1,821

Greatest Common Factor

We found the factors 626,821 . The biggest common factor number is the GCF number.
So the greatest common factor 626,821 is 1.

Lets's calculate LCM of 812,464

Lowest Common Multiple of 812,464 using Common Division

2 812, 464
2 406, 232
29 203, 116
7, 4

∴ So the LCM of the given numbers is 2 x 2 x 29 x 7 x 4 = 3248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3248

Therefore, the GCF of Fractions 626/812,821/464 is 1/3248

Least Common Multiple of 812,464 with GCF Formula

Least Common Multiple of 812,464 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 812,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,464) = 116

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

GCF(812,464) x common factors =116 x 1 = 116

LCM(812,464) = ( 812 × 464 ) / 116

LCM(812,464) = 376768 / 116

LCM(812,464) = 3248


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FAQs on GCF of Fractions of 626/812, 821/464

1. What is the HCF of 626,821?

The HCF of 626,821 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 626/812, 821/464?

Answer: GCF of Numerators as per given numbers 626/812, 821/464 is

GCF of Numerators i.e. for 626,821 is 1

LCM of denominators i.e. for 812,464 is 3248.

Thus, GCF of Fractions is 1/3248.Finally, GCF of Fractions for 626/812, 821/464 is 1/3248.