How to Find GCF of 4722/962, 7517/130?

GCF of 4722/962, 7517/130

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 4722/962, 7517/130 i.e 1/4810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4722/962, 7517/130.

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 4722/962,7517/130?

Given fractions are 4722/962,7517/130

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 4722/962,7517/130, numerators are 4722,7517

Denominators are 962,130

The GCF of 4722,7517 is 1 .

LCM of 962,130 is 4810.

The greatest common factor of 4722/962,7517/130 = [GCF of 4722,7517]/[LCM of 962,130]= 1/4810

Therefore, the GCF of 4722/962,7517/130 is 1/4810.

Greatest Common Factor of 4722,7517

To find the highest common factor of 4722,7517, we have to find the factors of both numbers and list the highest common factor.

The factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722

The factors of 7517 are 1, 7517

The HCF of 4722,7517 is 1.

Lets's calculate GCF of 4722,7517

Greatest Common Factor (GCF) of 4722,7517 By Common Division

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

Greatest Common Factor of 4722,7517 By Matching Biggest Common Factor Method

Now, list down the factors of 4722

1,2,3,6,787,1574,2361,4722

Now, list down the factors of 7517

1,7517

Greatest Common Factor

We found the factors 4722,7517 . The biggest common factor number is the GCF number.
So the greatest common factor 4722,7517 is 1.

Lets's calculate LCM of 962,130

Lowest Common Multiple of 962,130 using Common Division

2	962, 130
13	481, 65
	37, 5

∴ So the LCM of the given numbers is 2 x 13 x 37 x 5 = 4810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4810

Therefore, the GCF of Fractions 4722/962,7517/130 is 1/4810

Least Common Multiple of 962,130 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 962,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,130) = 26

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

GCF(962,130) x common factors =26 x 1 = 26

LCM(962,130) = ( 962 × 130 ) / 26

LCM(962,130) = 125060 / 26

LCM(962,130) = 4810

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4722/962, 7517/130

1. What is the HCF of 4722,7517?

The HCF of 4722,7517 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 4722/962, 7517/130?

Answer: GCF of Numerators as per given numbers 4722/962, 7517/130 is

GCF of Numerators i.e. for 4722,7517 is 1

LCM of denominators i.e. for 962,130 is 4810.

Thus, GCF of Fractions is 1/4810.Finally, GCF of Fractions for 4722/962, 7517/130 is 1/4810.