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GCF of 884/22, 786/426

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 884/22, 786/426 i.e 2/4686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/22, 786/426.

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 884/22,786/426?

Given fractions are 884/22,786/426

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 884/22,786/426, numerators are 884,786

Denominators are 22,426

The GCF of 884,786 is 2 .

LCM of 22,426 is 4686.

The greatest common factor of 884/22,786/426 = [GCF of 884,786]/[LCM of 22,426]= 2/4686

Therefore, the GCF of 884/22,786/426 is 2/4686.

Greatest Common Factor of 884,786

To find the highest common factor of 884,786, we have to find the factors of both numbers and list the highest common factor.

The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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

The HCF of 884,786 is 2.

Lets's calculate GCF of 884,786

Greatest Common Factor (GCF) of 884,786 By Common Division

2 884, 786
442, 393

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

Greatest Common Factor of 884,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,786 By Matching Biggest Common Factor Method

Now, list down the factors of 884

:

1,2,4,13,17,26,34,52,68,221,442,884

Now, list down the factors of 786

:

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

Greatest Common Factor

We found the factors 884,786 . The biggest common factor number is the GCF number.
So the greatest common factor 884,786 is 2.

Lets's calculate LCM of 22,426

Lowest Common Multiple of 22,426 using Common Division

2 22, 426
11, 213

∴ So the LCM of the given numbers is 2 x 11 x 213 = 4686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4686

Therefore, the GCF of Fractions 884/22,786/426 is 2/4686

Least Common Multiple of 22,426 with GCF Formula

Least Common Multiple of 22,426 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 22,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,426) = 2

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

GCF(22,426) x common factors =2 x 1 = 2

LCM(22,426) = ( 22 × 426 ) / 2

LCM(22,426) = 9372 / 2

LCM(22,426) = 4686


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 884/22, 786/426

1. What is the HCF of 884,786?

The HCF of 884,786 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 884/22, 786/426?

Answer: GCF of Numerators as per given numbers 884/22, 786/426 is

GCF of Numerators i.e. for 884,786 is 2

LCM of denominators i.e. for 22,426 is 4686.

Thus, GCF of Fractions is 2/4686.Finally, GCF of Fractions for 884/22, 786/426 is 2/4686.