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GCF of 926/59, 498/409

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 926/59, 498/409 i.e 2/24131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 926/59, 498/409.

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 926/59,498/409?

Given fractions are 926/59,498/409

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 926/59,498/409, numerators are 926,498

Denominators are 59,409

The GCF of 926,498 is 2 .

LCM of 59,409 is 24131.

The greatest common factor of 926/59,498/409 = [GCF of 926,498]/[LCM of 59,409]= 2/24131

Therefore, the GCF of 926/59,498/409 is 2/24131.

Greatest Common Factor of 926,498

To find the highest common factor of 926,498, we have to find the factors of both numbers and list the highest common factor.

The factors of 926 are 1, 2, 463, 926

The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498

The HCF of 926,498 is 2.

Lets's calculate GCF of 926,498

Greatest Common Factor (GCF) of 926,498 By Common Division

2 926, 498
463, 249

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

Greatest Common Factor of 926,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,498 By Matching Biggest Common Factor Method

Now, list down the factors of 926

:

1,2,463,926

Now, list down the factors of 498

:

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 926,498 . The biggest common factor number is the GCF number.
So the greatest common factor 926,498 is 2.

Lets's calculate LCM of 59,409

Lowest Common Multiple of 59,409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24131

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24131

Therefore, the GCF of Fractions 926/59,498/409 is 2/24131

Least Common Multiple of 59,409 with GCF Formula

Least Common Multiple of 59,409 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 59,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,409) = 1

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

GCF(59,409) x common factors =1 x 1 = 1

LCM(59,409) = ( 59 × 409 ) / 1

LCM(59,409) = 24131 / 1

LCM(59,409) = 24131


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FAQs on GCF of Fractions of 926/59, 498/409

1. What is the HCF of 926,498?

The HCF of 926,498 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 926/59, 498/409?

Answer: GCF of Numerators as per given numbers 926/59, 498/409 is

GCF of Numerators i.e. for 926,498 is 2

LCM of denominators i.e. for 59,409 is 24131.

Thus, GCF of Fractions is 2/24131.Finally, GCF of Fractions for 926/59, 498/409 is 2/24131.