How to Find GCF of 4301/967, 1150/5921?

GCF of 4301/967, 1150/5921

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 4301/967, 1150/5921 i.e 23/5725607 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4301/967, 1150/5921.

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 4301/967,1150/5921?

Given fractions are 4301/967,1150/5921

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 4301/967,1150/5921, numerators are 4301,1150

Denominators are 967,5921

The GCF of 4301,1150 is 23 .

LCM of 967,5921 is 5725607.

The greatest common factor of 4301/967,1150/5921 = [GCF of 4301,1150]/[LCM of 967,5921]= 23/5725607

Therefore, the GCF of 4301/967,1150/5921 is 23/5725607.

Greatest Common Factor of 4301,1150

To find the highest common factor of 4301,1150, we have to find the factors of both numbers and list the highest common factor.

The factors of 4301 are 1, 11, 17, 23, 187, 253, 391, 4301

The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150

The HCF of 4301,1150 is 23.

Lets's calculate GCF of 4301,1150

Greatest Common Factor (GCF) of 4301,1150 By Common Division

23	4301, 1150
	187, 50

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 4301,1150 By Matching Biggest Common Factor Method

Now, list down the factors of 4301

1,11,17,23,187,253,391,4301

Now, list down the factors of 1150

1,2,5,10,23,25,46,50,115,230,575,1150

Greatest Common Factor

We found the factors 4301,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 4301,1150 is 23.

Lets's calculate LCM of 967,5921

Lowest Common Multiple of 967,5921 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5725607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/5725607

Therefore, the GCF of Fractions 4301/967,1150/5921 is 23/5725607

Least Common Multiple of 967,5921 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 967,5921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,5921) = 1

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

GCF(967,5921) x common factors =1 x 1 = 1

LCM(967,5921) = ( 967 × 5921 ) / 1

LCM(967,5921) = 5725607 / 1

LCM(967,5921) = 5725607

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4301/967, 1150/5921

1. What is the HCF of 4301,1150?

The HCF of 4301,1150 is 23

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 4301/967, 1150/5921?

Answer: GCF of Numerators as per given numbers 4301/967, 1150/5921 is

GCF of Numerators i.e. for 4301,1150 is 23

LCM of denominators i.e. for 967,5921 is 5725607.

Thus, GCF of Fractions is 23/5725607.Finally, GCF of Fractions for 4301/967, 1150/5921 is 23/5725607.