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GCF of 783/792, 638/643

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 783/792, 638/643 i.e 29/509256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/792, 638/643.

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 783/792,638/643?

Given fractions are 783/792,638/643

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 783/792,638/643, numerators are 783,638

Denominators are 792,643

The GCF of 783,638 is 29 .

LCM of 792,643 is 509256.

The greatest common factor of 783/792,638/643 = [GCF of 783,638]/[LCM of 792,643]= 29/509256

Therefore, the GCF of 783/792,638/643 is 29/509256.

Greatest Common Factor of 783,638

To find the highest common factor of 783,638, we have to find the factors of both numbers and list the highest common factor.

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638

The HCF of 783,638 is 29.

Lets's calculate GCF of 783,638

Greatest Common Factor (GCF) of 783,638 By Common Division

29 783, 638
27, 22

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 783,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,638 By Matching Biggest Common Factor Method

Now, list down the factors of 783

:

1,3,9,27,29,87,261,783

Now, list down the factors of 638

:

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 783,638 . The biggest common factor number is the GCF number.
So the greatest common factor 783,638 is 29.

Lets's calculate LCM of 792,643

Lowest Common Multiple of 792,643 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 509256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/509256

Therefore, the GCF of Fractions 783/792,638/643 is 29/509256

Least Common Multiple of 792,643 with GCF Formula

Least Common Multiple of 792,643 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 792,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,643) = 1

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

GCF(792,643) x common factors =1 x 1 = 1

LCM(792,643) = ( 792 × 643 ) / 1

LCM(792,643) = 509256 / 1

LCM(792,643) = 509256


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FAQs on GCF of Fractions of 783/792, 638/643

1. What is the HCF of 783,638?

The HCF of 783,638 is 29

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 783/792, 638/643?

Answer: GCF of Numerators as per given numbers 783/792, 638/643 is

GCF of Numerators i.e. for 783,638 is 29

LCM of denominators i.e. for 792,643 is 509256.

Thus, GCF of Fractions is 29/509256.Finally, GCF of Fractions for 783/792, 638/643 is 29/509256.