How to Find GCF of 494/88, 844/17, 959/25?

GCF of 494/88, 844/17, 959/25

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 494/88, 844/17, 959/25 i.e 1/37400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/88, 844/17, 959/25.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 494/88,844/17,959/25?

Given fractions are 494/88,844/17,959/25

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 494/88,844/17,959/25, numerators are 494,844,959

Denominators are 88,17,25

The GCF of 494,844,959 is 1 .

LCM of 88,17,25 is 37400.

The greatest common factor of 494/88,844/17,959/25 = [GCF of 494,844,959]/[LCM of 88,17,25]= 1/37400

Therefore, the GCF of 494/88,844/17,959/25 is 1/37400.

Greatest Common Factor of 494,844,959

To find the highest common factor of 494,844,959, we have to find the factors of both numbers and list the highest common factor.

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494

The factors of 844 are 1, 2, 4, 211, 422, 844

The factors of 959 are 1, 7, 137, 959

The HCF of 494,844,959 is 1.

Lets's calculate GCF of 494,844,959

Greatest Common Factor (GCF) of 494,844,959 By Common Division

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

Greatest Common Factor of 494,844,959 By Matching Biggest Common Factor Method

Now, list down the factors of 494

1,2,13,19,26,38,247,494

Now, list down the factors of 844

1,2,4,211,422,844

Now, list down the factors of 959

1,7,137,959

Greatest Common Factor

We found the factors 494,844,959 . The biggest common factor number is the GCF number.
So the greatest common factor 494,844,959 is 1.

Lets's calculate LCM of 88,17,25

Lowest Common Multiple of 88,17,25 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 37400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37400

Therefore, the GCF of Fractions 494/88,844/17,959/25 is 1/37400

Least Common Multiple of 88,17,25 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,17,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,17,25) = 1

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

GCF(88,17,25) x common factors =1 x 1 = 1

LCM(88,17,25) = ( 88 × 17 × 25 ) / 1

LCM(88,17,25) = 37400 / 1

LCM(88,17,25) = 37400

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 494/88, 844/17, 959/25

1. What is the HCF of 494,844,959?

The HCF of 494,844,959 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 494/88, 844/17, 959/25?

Answer: GCF of Numerators as per given numbers 494/88, 844/17, 959/25 is

GCF of Numerators i.e. for 494,844,959 is 1

LCM of denominators i.e. for 88,17,25 is 37400.

Thus, GCF of Fractions is 1/37400.Finally, GCF of Fractions for 494/88, 844/17, 959/25 is 1/37400.