How to Find GCF of 952/871, 5459/1154?

GCF of 952/871, 5459/1154

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 952/871, 5459/1154 i.e 1/1005134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/871, 5459/1154.

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 952/871,5459/1154?

Given fractions are 952/871,5459/1154

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 952/871,5459/1154, numerators are 952,5459

Denominators are 871,1154

The GCF of 952,5459 is 1 .

LCM of 871,1154 is 1005134.

The greatest common factor of 952/871,5459/1154 = [GCF of 952,5459]/[LCM of 871,1154]= 1/1005134

Therefore, the GCF of 952/871,5459/1154 is 1/1005134.

Greatest Common Factor of 952,5459

To find the highest common factor of 952,5459, we have to find the factors of both numbers and list the highest common factor.

The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

The factors of 5459 are 1, 53, 103, 5459

The HCF of 952,5459 is 1.

Lets's calculate GCF of 952,5459

Greatest Common Factor (GCF) of 952,5459 By Common Division

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

Greatest Common Factor of 952,5459 By Matching Biggest Common Factor Method

Now, list down the factors of 952

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Now, list down the factors of 5459

1,53,103,5459

Greatest Common Factor

We found the factors 952,5459 . The biggest common factor number is the GCF number.
So the greatest common factor 952,5459 is 1.

Lets's calculate LCM of 871,1154

Lowest Common Multiple of 871,1154 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1005134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1005134

Therefore, the GCF of Fractions 952/871,5459/1154 is 1/1005134

Least Common Multiple of 871,1154 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 871,1154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,1154) = 1

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

GCF(871,1154) x common factors =1 x 1 = 1

LCM(871,1154) = ( 871 × 1154 ) / 1

LCM(871,1154) = 1005134 / 1

LCM(871,1154) = 1005134

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FAQs on GCF of Fractions of 952/871, 5459/1154

1. What is the HCF of 952,5459?

The HCF of 952,5459 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 952/871, 5459/1154?

Answer: GCF of Numerators as per given numbers 952/871, 5459/1154 is

GCF of Numerators i.e. for 952,5459 is 1

LCM of denominators i.e. for 871,1154 is 1005134.

Thus, GCF of Fractions is 1/1005134.Finally, GCF of Fractions for 952/871, 5459/1154 is 1/1005134.