How to Find GCF of 4871/151, 8831/484?

GCF of 4871/151, 8831/484

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 4871/151, 8831/484 i.e 1/73084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4871/151, 8831/484.

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 4871/151,8831/484?

Given fractions are 4871/151,8831/484

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 4871/151,8831/484, numerators are 4871,8831

Denominators are 151,484

The GCF of 4871,8831 is 1 .

LCM of 151,484 is 73084.

The greatest common factor of 4871/151,8831/484 = [GCF of 4871,8831]/[LCM of 151,484]= 1/73084

Therefore, the GCF of 4871/151,8831/484 is 1/73084.

Greatest Common Factor of 4871,8831

To find the highest common factor of 4871,8831, we have to find the factors of both numbers and list the highest common factor.

The factors of 4871 are 1, 4871

The factors of 8831 are 1, 8831

The HCF of 4871,8831 is 1.

Lets's calculate GCF of 4871,8831

Greatest Common Factor (GCF) of 4871,8831 By Common Division

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

Greatest Common Factor of 4871,8831 By Matching Biggest Common Factor Method

Now, list down the factors of 4871

1,4871

Now, list down the factors of 8831

1,8831

Greatest Common Factor

We found the factors 4871,8831 . The biggest common factor number is the GCF number.
So the greatest common factor 4871,8831 is 1.

Lets's calculate LCM of 151,484

Lowest Common Multiple of 151,484 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 73084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73084

Therefore, the GCF of Fractions 4871/151,8831/484 is 1/73084

Least Common Multiple of 151,484 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 151,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,484) = 1

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

GCF(151,484) x common factors =1 x 1 = 1

LCM(151,484) = ( 151 × 484 ) / 1

LCM(151,484) = 73084 / 1

LCM(151,484) = 73084

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FAQs on GCF of Fractions of 4871/151, 8831/484

1. What is the HCF of 4871,8831?

The HCF of 4871,8831 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 4871/151, 8831/484?

Answer: GCF of Numerators as per given numbers 4871/151, 8831/484 is

GCF of Numerators i.e. for 4871,8831 is 1

LCM of denominators i.e. for 151,484 is 73084.

Thus, GCF of Fractions is 1/73084.Finally, GCF of Fractions for 4871/151, 8831/484 is 1/73084.