How to Find GCF of 17/37, 280/93, 491/941?

GCF of 17/37, 280/93, 491/941

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 17/37, 280/93, 491/941 i.e 1/3237981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/37, 280/93, 491/941.

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 17/37,280/93,491/941?

Given fractions are 17/37,280/93,491/941

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 17/37,280/93,491/941, numerators are 17,280,491

Denominators are 37,93,941

The GCF of 17,280,491 is 1 .

LCM of 37,93,941 is 3237981.

The greatest common factor of 17/37,280/93,491/941 = [GCF of 17,280,491]/[LCM of 37,93,941]= 1/3237981

Therefore, the GCF of 17/37,280/93,491/941 is 1/3237981.

Greatest Common Factor of 17,280,491

To find the highest common factor of 17,280,491, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The factors of 491 are 1, 491

The HCF of 17,280,491 is 1.

Lets's calculate GCF of 17,280,491

Greatest Common Factor (GCF) of 17,280,491 By Common Division

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

Greatest Common Factor of 17,280,491 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 280

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Now, list down the factors of 491

1,491

Greatest Common Factor

We found the factors 17,280,491 . The biggest common factor number is the GCF number.
So the greatest common factor 17,280,491 is 1.

Lets's calculate LCM of 37,93,941

Lowest Common Multiple of 37,93,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3237981

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3237981

Therefore, the GCF of Fractions 17/37,280/93,491/941 is 1/3237981

Least Common Multiple of 37,93,941 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 37,93,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,93,941) = 1

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

GCF(37,93,941) x common factors =1 x 1 = 1

LCM(37,93,941) = ( 37 × 93 × 941 ) / 1

LCM(37,93,941) = 3237981 / 1

LCM(37,93,941) = 3237981

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/37, 280/93, 491/941

1. What is the HCF of 17,280,491?

The HCF of 17,280,491 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 17/37, 280/93, 491/941?

Answer: GCF of Numerators as per given numbers 17/37, 280/93, 491/941 is

GCF of Numerators i.e. for 17,280,491 is 1

LCM of denominators i.e. for 37,93,941 is 3237981.

Thus, GCF of Fractions is 1/3237981.Finally, GCF of Fractions for 17/37, 280/93, 491/941 is 1/3237981.