How to Find GCF of 1417/181, 5138/7976?

GCF of 1417/181, 5138/7976

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 1417/181, 5138/7976 i.e 1/1443656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1417/181, 5138/7976.

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 1417/181,5138/7976?

Given fractions are 1417/181,5138/7976

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 1417/181,5138/7976, numerators are 1417,5138

Denominators are 181,7976

The GCF of 1417,5138 is 1 .

LCM of 181,7976 is 1443656.

The greatest common factor of 1417/181,5138/7976 = [GCF of 1417,5138]/[LCM of 181,7976]= 1/1443656

Therefore, the GCF of 1417/181,5138/7976 is 1/1443656.

Greatest Common Factor of 1417,5138

To find the highest common factor of 1417,5138, we have to find the factors of both numbers and list the highest common factor.

The factors of 1417 are 1, 13, 109, 1417

The factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138

The HCF of 1417,5138 is 1.

Lets's calculate GCF of 1417,5138

Greatest Common Factor (GCF) of 1417,5138 By Common Division

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

Greatest Common Factor of 1417,5138 By Matching Biggest Common Factor Method

Now, list down the factors of 1417

1,13,109,1417

Now, list down the factors of 5138

1,2,7,14,367,734,2569,5138

Greatest Common Factor

We found the factors 1417,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 1417,5138 is 1.

Lets's calculate LCM of 181,7976

Lowest Common Multiple of 181,7976 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1443656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1443656

Therefore, the GCF of Fractions 1417/181,5138/7976 is 1/1443656

Least Common Multiple of 181,7976 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 181,7976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,7976) = 1

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

GCF(181,7976) x common factors =1 x 1 = 1

LCM(181,7976) = ( 181 × 7976 ) / 1

LCM(181,7976) = 1443656 / 1

LCM(181,7976) = 1443656

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FAQs on GCF of Fractions of 1417/181, 5138/7976

1. What is the HCF of 1417,5138?

The HCF of 1417,5138 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 1417/181, 5138/7976?

Answer: GCF of Numerators as per given numbers 1417/181, 5138/7976 is

GCF of Numerators i.e. for 1417,5138 is 1

LCM of denominators i.e. for 181,7976 is 1443656.

Thus, GCF of Fractions is 1/1443656.Finally, GCF of Fractions for 1417/181, 5138/7976 is 1/1443656.