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GCF of 536/605, 426/826

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 536/605, 426/826 i.e 2/499730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/605, 426/826.

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 536/605,426/826?

Given fractions are 536/605,426/826

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 536/605,426/826, numerators are 536,426

Denominators are 605,826

The GCF of 536,426 is 2 .

LCM of 605,826 is 499730.

The greatest common factor of 536/605,426/826 = [GCF of 536,426]/[LCM of 605,826]= 2/499730

Therefore, the GCF of 536/605,426/826 is 2/499730.

Greatest Common Factor of 536,426

To find the highest common factor of 536,426, we have to find the factors of both numbers and list the highest common factor.

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536

The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426

The HCF of 536,426 is 2.

Lets's calculate GCF of 536,426

Greatest Common Factor (GCF) of 536,426 By Common Division

2 536, 426
268, 213

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

Greatest Common Factor of 536,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,426 By Matching Biggest Common Factor Method

Now, list down the factors of 536

:

1,2,4,8,67,134,268,536

Now, list down the factors of 426

:

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 536,426 . The biggest common factor number is the GCF number.
So the greatest common factor 536,426 is 2.

Lets's calculate LCM of 605,826

Lowest Common Multiple of 605,826 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 499730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/499730

Therefore, the GCF of Fractions 536/605,426/826 is 2/499730

Least Common Multiple of 605,826 with GCF Formula

Least Common Multiple of 605,826 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 605,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,826) = 1

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

GCF(605,826) x common factors =1 x 1 = 1

LCM(605,826) = ( 605 × 826 ) / 1

LCM(605,826) = 499730 / 1

LCM(605,826) = 499730


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FAQs on GCF of Fractions of 536/605, 426/826

1. What is the HCF of 536,426?

The HCF of 536,426 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 536/605, 426/826?

Answer: GCF of Numerators as per given numbers 536/605, 426/826 is

GCF of Numerators i.e. for 536,426 is 2

LCM of denominators i.e. for 605,826 is 499730.

Thus, GCF of Fractions is 2/499730.Finally, GCF of Fractions for 536/605, 426/826 is 2/499730.