How to Find GCF of 45/35, 982/31, 494/738?

GCF of 45/35, 982/31, 494/738

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 45/35, 982/31, 494/738 i.e 1/800730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/35, 982/31, 494/738.

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 45/35,982/31,494/738?

Given fractions are 45/35,982/31,494/738

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 45/35,982/31,494/738, numerators are 45,982,494

Denominators are 35,31,738

The GCF of 45,982,494 is 1 .

LCM of 35,31,738 is 800730.

The greatest common factor of 45/35,982/31,494/738 = [GCF of 45,982,494]/[LCM of 35,31,738]= 1/800730

Therefore, the GCF of 45/35,982/31,494/738 is 1/800730.

Greatest Common Factor of 45,982,494

To find the highest common factor of 45,982,494, we have to find the factors of both numbers and list the highest common factor.

The factors of 45 are 1, 3, 5, 9, 15, 45

The factors of 982 are 1, 2, 491, 982

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

The HCF of 45,982,494 is 1.

Lets's calculate GCF of 45,982,494

Greatest Common Factor (GCF) of 45,982,494 By Common Division

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

Greatest Common Factor of 45,982,494 By Matching Biggest Common Factor Method

Now, list down the factors of 45

1,3,5,9,15,45

Now, list down the factors of 982

1,2,491,982

Now, list down the factors of 494

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

Greatest Common Factor

We found the factors 45,982,494 . The biggest common factor number is the GCF number.
So the greatest common factor 45,982,494 is 1.

Lets's calculate LCM of 35,31,738

Lowest Common Multiple of 35,31,738 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 800730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/800730

Therefore, the GCF of Fractions 45/35,982/31,494/738 is 1/800730

Least Common Multiple of 35,31,738 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 35,31,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,31,738) = 1

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

GCF(35,31,738) x common factors =1 x 1 = 1

LCM(35,31,738) = ( 35 × 31 × 738 ) / 1

LCM(35,31,738) = 800730 / 1

LCM(35,31,738) = 800730

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 45/35, 982/31, 494/738

1. What is the HCF of 45,982,494?

The HCF of 45,982,494 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 45/35, 982/31, 494/738?

Answer: GCF of Numerators as per given numbers 45/35, 982/31, 494/738 is

GCF of Numerators i.e. for 45,982,494 is 1

LCM of denominators i.e. for 35,31,738 is 800730.

Thus, GCF of Fractions is 1/800730.Finally, GCF of Fractions for 45/35, 982/31, 494/738 is 1/800730.