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GCF of 722/21, 786/943

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 722/21, 786/943 i.e 2/19803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/21, 786/943.

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 722/21,786/943?

Given fractions are 722/21,786/943

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 722/21,786/943, numerators are 722,786

Denominators are 21,943

The GCF of 722,786 is 2 .

LCM of 21,943 is 19803.

The greatest common factor of 722/21,786/943 = [GCF of 722,786]/[LCM of 21,943]= 2/19803

Therefore, the GCF of 722/21,786/943 is 2/19803.

Greatest Common Factor of 722,786

To find the highest common factor of 722,786, we have to find the factors of both numbers and list the highest common factor.

The factors of 722 are 1, 2, 19, 38, 361, 722

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

The HCF of 722,786 is 2.

Lets's calculate GCF of 722,786

Greatest Common Factor (GCF) of 722,786 By Common Division

2 722, 786
361, 393

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

Greatest Common Factor of 722,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,786 By Matching Biggest Common Factor Method

Now, list down the factors of 722

:

1,2,19,38,361,722

Now, list down the factors of 786

:

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

Greatest Common Factor

We found the factors 722,786 . The biggest common factor number is the GCF number.
So the greatest common factor 722,786 is 2.

Lets's calculate LCM of 21,943

Lowest Common Multiple of 21,943 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 19803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19803

Therefore, the GCF of Fractions 722/21,786/943 is 2/19803

Least Common Multiple of 21,943 with GCF Formula

Least Common Multiple of 21,943 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 21,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,943) = 1

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

GCF(21,943) x common factors =1 x 1 = 1

LCM(21,943) = ( 21 × 943 ) / 1

LCM(21,943) = 19803 / 1

LCM(21,943) = 19803


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 722/21, 786/943

1. What is the HCF of 722,786?

The HCF of 722,786 is 2

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 722/21, 786/943?

Answer: GCF of Numerators as per given numbers 722/21, 786/943 is

GCF of Numerators i.e. for 722,786 is 2

LCM of denominators i.e. for 21,943 is 19803.

Thus, GCF of Fractions is 2/19803.Finally, GCF of Fractions for 722/21, 786/943 is 2/19803.