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GCF of 437/952, 442/826

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 437/952, 442/826 i.e 1/56168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/952, 442/826.

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 437/952,442/826?

Given fractions are 437/952,442/826

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 437/952,442/826, numerators are 437,442

Denominators are 952,826

The GCF of 437,442 is 1 .

LCM of 952,826 is 56168.

The greatest common factor of 437/952,442/826 = [GCF of 437,442]/[LCM of 952,826]= 1/56168

Therefore, the GCF of 437/952,442/826 is 1/56168.

Greatest Common Factor of 437,442

To find the highest common factor of 437,442, we have to find the factors of both numbers and list the highest common factor.

The factors of 437 are 1, 19, 23, 437

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The HCF of 437,442 is 1.

Lets's calculate GCF of 437,442

Greatest Common Factor (GCF) of 437,442 By Common Division

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

Greatest Common Factor of 437,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,442 By Matching Biggest Common Factor Method

Now, list down the factors of 437

:

1,19,23,437

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 437,442 . The biggest common factor number is the GCF number.
So the greatest common factor 437,442 is 1.

Lets's calculate LCM of 952,826

Lowest Common Multiple of 952,826 using Common Division

2 952, 826
7 476, 413
68, 59

∴ So the LCM of the given numbers is 2 x 7 x 68 x 59 = 56168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56168

Therefore, the GCF of Fractions 437/952,442/826 is 1/56168

Least Common Multiple of 952,826 with GCF Formula

Least Common Multiple of 952,826 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 952,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,826) = 14

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

GCF(952,826) x common factors =14 x 1 = 14

LCM(952,826) = ( 952 × 826 ) / 14

LCM(952,826) = 786352 / 14

LCM(952,826) = 56168


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FAQs on GCF of Fractions of 437/952, 442/826

1. What is the HCF of 437,442?

The HCF of 437,442 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 437/952, 442/826?

Answer: GCF of Numerators as per given numbers 437/952, 442/826 is

GCF of Numerators i.e. for 437,442 is 1

LCM of denominators i.e. for 952,826 is 56168.

Thus, GCF of Fractions is 1/56168.Finally, GCF of Fractions for 437/952, 442/826 is 1/56168.