How to Find GCF of 9255/174, 5113/1567?

GCF of 9255/174, 5113/1567

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 9255/174, 5113/1567 i.e 1/272658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9255/174, 5113/1567.

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 9255/174,5113/1567?

Given fractions are 9255/174,5113/1567

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 9255/174,5113/1567, numerators are 9255,5113

Denominators are 174,1567

The GCF of 9255,5113 is 1 .

LCM of 174,1567 is 272658.

The greatest common factor of 9255/174,5113/1567 = [GCF of 9255,5113]/[LCM of 174,1567]= 1/272658

Therefore, the GCF of 9255/174,5113/1567 is 1/272658.

Greatest Common Factor of 9255,5113

To find the highest common factor of 9255,5113, we have to find the factors of both numbers and list the highest common factor.

The factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255

The factors of 5113 are 1, 5113

The HCF of 9255,5113 is 1.

Lets's calculate GCF of 9255,5113

Greatest Common Factor (GCF) of 9255,5113 By Common Division

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

Greatest Common Factor of 9255,5113 By Matching Biggest Common Factor Method

Now, list down the factors of 9255

1,3,5,15,617,1851,3085,9255

Now, list down the factors of 5113

1,5113

Greatest Common Factor

We found the factors 9255,5113 . The biggest common factor number is the GCF number.
So the greatest common factor 9255,5113 is 1.

Lets's calculate LCM of 174,1567

Lowest Common Multiple of 174,1567 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 272658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272658

Therefore, the GCF of Fractions 9255/174,5113/1567 is 1/272658

Least Common Multiple of 174,1567 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 174,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,1567) = 1

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

GCF(174,1567) x common factors =1 x 1 = 1

LCM(174,1567) = ( 174 × 1567 ) / 1

LCM(174,1567) = 272658 / 1

LCM(174,1567) = 272658

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FAQs on GCF of Fractions of 9255/174, 5113/1567

1. What is the HCF of 9255,5113?

The HCF of 9255,5113 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 9255/174, 5113/1567?

Answer: GCF of Numerators as per given numbers 9255/174, 5113/1567 is

GCF of Numerators i.e. for 9255,5113 is 1

LCM of denominators i.e. for 174,1567 is 272658.

Thus, GCF of Fractions is 1/272658.Finally, GCF of Fractions for 9255/174, 5113/1567 is 1/272658.