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GCF of 621/51, 786/293

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 621/51, 786/293 i.e 3/14943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/51, 786/293.

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 621/51,786/293?

Given fractions are 621/51,786/293

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 621/51,786/293, numerators are 621,786

Denominators are 51,293

The GCF of 621,786 is 3 .

LCM of 51,293 is 14943.

The greatest common factor of 621/51,786/293 = [GCF of 621,786]/[LCM of 51,293]= 3/14943

Therefore, the GCF of 621/51,786/293 is 3/14943.

Greatest Common Factor of 621,786

To find the highest common factor of 621,786, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786

The HCF of 621,786 is 3.

Lets's calculate GCF of 621,786

Greatest Common Factor (GCF) of 621,786 By Common Division

3 621, 786
207, 262

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 621,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,786 By Matching Biggest Common Factor Method

Now, list down the factors of 621

:

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

Now, list down the factors of 786

:

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 621,786 . The biggest common factor number is the GCF number.
So the greatest common factor 621,786 is 3.

Lets's calculate LCM of 51,293

Lowest Common Multiple of 51,293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14943

Therefore, the GCF of Fractions 621/51,786/293 is 3/14943

Least Common Multiple of 51,293 with GCF Formula

Least Common Multiple of 51,293 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 51,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,293) = 1

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

GCF(51,293) x common factors =1 x 1 = 1

LCM(51,293) = ( 51 × 293 ) / 1

LCM(51,293) = 14943 / 1

LCM(51,293) = 14943


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 621/51, 786/293

1. What is the HCF of 621,786?

The HCF of 621,786 is 3

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 621/51, 786/293?

Answer: GCF of Numerators as per given numbers 621/51, 786/293 is

GCF of Numerators i.e. for 621,786 is 3

LCM of denominators i.e. for 51,293 is 14943.

Thus, GCF of Fractions is 3/14943.Finally, GCF of Fractions for 621/51, 786/293 is 3/14943.