How to Find GCF of 2892/871, 9041/5622?

GCF of 2892/871, 9041/5622

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 2892/871, 9041/5622 i.e 1/4896762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2892/871, 9041/5622.

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 2892/871,9041/5622?

Given fractions are 2892/871,9041/5622

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 2892/871,9041/5622, numerators are 2892,9041

Denominators are 871,5622

The GCF of 2892,9041 is 1 .

LCM of 871,5622 is 4896762.

The greatest common factor of 2892/871,9041/5622 = [GCF of 2892,9041]/[LCM of 871,5622]= 1/4896762

Therefore, the GCF of 2892/871,9041/5622 is 1/4896762.

Greatest Common Factor of 2892,9041

To find the highest common factor of 2892,9041, we have to find the factors of both numbers and list the highest common factor.

The factors of 2892 are 1, 2, 3, 4, 6, 12, 241, 482, 723, 964, 1446, 2892

The factors of 9041 are 1, 9041

The HCF of 2892,9041 is 1.

Lets's calculate GCF of 2892,9041

Greatest Common Factor (GCF) of 2892,9041 By Common Division

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

Greatest Common Factor of 2892,9041 By Matching Biggest Common Factor Method

Now, list down the factors of 2892

1,2,3,4,6,12,241,482,723,964,1446,2892

Now, list down the factors of 9041

1,9041

Greatest Common Factor

We found the factors 2892,9041 . The biggest common factor number is the GCF number.
So the greatest common factor 2892,9041 is 1.

Lets's calculate LCM of 871,5622

Lowest Common Multiple of 871,5622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4896762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4896762

Therefore, the GCF of Fractions 2892/871,9041/5622 is 1/4896762

Least Common Multiple of 871,5622 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 871,5622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,5622) = 1

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

GCF(871,5622) x common factors =1 x 1 = 1

LCM(871,5622) = ( 871 × 5622 ) / 1

LCM(871,5622) = 4896762 / 1

LCM(871,5622) = 4896762

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2892/871, 9041/5622

1. What is the HCF of 2892,9041?

The HCF of 2892,9041 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 2892/871, 9041/5622?

Answer: GCF of Numerators as per given numbers 2892/871, 9041/5622 is

GCF of Numerators i.e. for 2892,9041 is 1

LCM of denominators i.e. for 871,5622 is 4896762.

Thus, GCF of Fractions is 1/4896762.Finally, GCF of Fractions for 2892/871, 9041/5622 is 1/4896762.