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GCF of 851/664, 621/768

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 851/664, 621/768 i.e 23/63744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/664, 621/768.

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 851/664,621/768?

Given fractions are 851/664,621/768

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 851/664,621/768, numerators are 851,621

Denominators are 664,768

The GCF of 851,621 is 23 .

LCM of 664,768 is 63744.

The greatest common factor of 851/664,621/768 = [GCF of 851,621]/[LCM of 664,768]= 23/63744

Therefore, the GCF of 851/664,621/768 is 23/63744.

Greatest Common Factor of 851,621

To find the highest common factor of 851,621, we have to find the factors of both numbers and list the highest common factor.

The factors of 851 are 1, 23, 37, 851

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621

The HCF of 851,621 is 23.

Lets's calculate GCF of 851,621

Greatest Common Factor (GCF) of 851,621 By Common Division

23 851, 621
37, 27

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 851,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,621 By Matching Biggest Common Factor Method

Now, list down the factors of 851

:

1,23,37,851

Now, list down the factors of 621

:

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 851,621 . The biggest common factor number is the GCF number.
So the greatest common factor 851,621 is 23.

Lets's calculate LCM of 664,768

Lowest Common Multiple of 664,768 using Common Division

2 664, 768
2 332, 384
2 166, 192
83, 96

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 96 = 63744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/63744

Therefore, the GCF of Fractions 851/664,621/768 is 23/63744

Least Common Multiple of 664,768 with GCF Formula

Least Common Multiple of 664,768 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 664,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,768) = 8

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

GCF(664,768) x common factors =8 x 1 = 8

LCM(664,768) = ( 664 × 768 ) / 8

LCM(664,768) = 509952 / 8

LCM(664,768) = 63744


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FAQs on GCF of Fractions of 851/664, 621/768

1. What is the HCF of 851,621?

The HCF of 851,621 is 23

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 851/664, 621/768?

Answer: GCF of Numerators as per given numbers 851/664, 621/768 is

GCF of Numerators i.e. for 851,621 is 23

LCM of denominators i.e. for 664,768 is 63744.

Thus, GCF of Fractions is 23/63744.Finally, GCF of Fractions for 851/664, 621/768 is 23/63744.