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GCF of 644/566, 208/952

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 644/566, 208/952 i.e 4/269416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 644/566, 208/952.

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 644/566,208/952?

Given fractions are 644/566,208/952

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 644/566,208/952, numerators are 644,208

Denominators are 566,952

The GCF of 644,208 is 4 .

LCM of 566,952 is 269416.

The greatest common factor of 644/566,208/952 = [GCF of 644,208]/[LCM of 566,952]= 4/269416

Therefore, the GCF of 644/566,208/952 is 4/269416.

Greatest Common Factor of 644,208

To find the highest common factor of 644,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 644,208 is 4.

Lets's calculate GCF of 644,208

Greatest Common Factor (GCF) of 644,208 By Common Division

2 644, 208
2 322, 104
161, 52

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 644,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,208 By Matching Biggest Common Factor Method

Now, list down the factors of 644

:

1,2,4,7,14,23,28,46,92,161,322,644

Now, list down the factors of 208

:

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 644,208 . The biggest common factor number is the GCF number.
So the greatest common factor 644,208 is 4.

Lets's calculate LCM of 566,952

Lowest Common Multiple of 566,952 using Common Division

2 566, 952
283, 476

∴ So the LCM of the given numbers is 2 x 283 x 476 = 269416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/269416

Therefore, the GCF of Fractions 644/566,208/952 is 4/269416

Least Common Multiple of 566,952 with GCF Formula

Least Common Multiple of 566,952 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 566,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,952) = 2

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

GCF(566,952) x common factors =2 x 1 = 2

LCM(566,952) = ( 566 × 952 ) / 2

LCM(566,952) = 538832 / 2

LCM(566,952) = 269416


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FAQs on GCF of Fractions of 644/566, 208/952

1. What is the HCF of 644,208?

The HCF of 644,208 is 4

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 644/566, 208/952?

Answer: GCF of Numerators as per given numbers 644/566, 208/952 is

GCF of Numerators i.e. for 644,208 is 4

LCM of denominators i.e. for 566,952 is 269416.

Thus, GCF of Fractions is 4/269416.Finally, GCF of Fractions for 644/566, 208/952 is 4/269416.