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GCF of 644/216, 1003/744

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 644/216, 1003/744 i.e 1/6696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 644/216, 1003/744.

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 644/216,1003/744?

Given fractions are 644/216,1003/744

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 644/216,1003/744, numerators are 644,1003

Denominators are 216,744

The GCF of 644,1003 is 1 .

LCM of 216,744 is 6696.

The greatest common factor of 644/216,1003/744 = [GCF of 644,1003]/[LCM of 216,744]= 1/6696

Therefore, the GCF of 644/216,1003/744 is 1/6696.

Greatest Common Factor of 644,1003

To find the highest common factor of 644,1003, 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 1003 are 1, 17, 59, 1003

The HCF of 644,1003 is 1.

Lets's calculate GCF of 644,1003

Greatest Common Factor (GCF) of 644,1003 By Common Division

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

Greatest Common Factor of 644,1003 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,1003 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 1003

:

1,17,59,1003

Greatest Common Factor

We found the factors 644,1003 . The biggest common factor number is the GCF number.
So the greatest common factor 644,1003 is 1.

Lets's calculate LCM of 216,744

Lowest Common Multiple of 216,744 using Common Division

2 216, 744
2 108, 372
2 54, 186
3 27, 93
9, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 9 x 31 = 6696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6696

Therefore, the GCF of Fractions 644/216,1003/744 is 1/6696

Least Common Multiple of 216,744 with GCF Formula

Least Common Multiple of 216,744 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 216,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,744) = 24

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

GCF(216,744) x common factors =24 x 1 = 24

LCM(216,744) = ( 216 × 744 ) / 24

LCM(216,744) = 160704 / 24

LCM(216,744) = 6696


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FAQs on GCF of Fractions of 644/216, 1003/744

1. What is the HCF of 644,1003?

The HCF of 644,1003 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 644/216, 1003/744?

Answer: GCF of Numerators as per given numbers 644/216, 1003/744 is

GCF of Numerators i.e. for 644,1003 is 1

LCM of denominators i.e. for 216,744 is 6696.

Thus, GCF of Fractions is 1/6696.Finally, GCF of Fractions for 644/216, 1003/744 is 1/6696.