How to Find GCF of 4770/476, 4157/4456?

GCF of 4770/476, 4157/4456

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 4770/476, 4157/4456 i.e 1/530264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4770/476, 4157/4456.

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 4770/476,4157/4456?

Given fractions are 4770/476,4157/4456

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 4770/476,4157/4456, numerators are 4770,4157

Denominators are 476,4456

The GCF of 4770,4157 is 1 .

LCM of 476,4456 is 530264.

The greatest common factor of 4770/476,4157/4456 = [GCF of 4770,4157]/[LCM of 476,4456]= 1/530264

Therefore, the GCF of 4770/476,4157/4456 is 1/530264.

Greatest Common Factor of 4770,4157

To find the highest common factor of 4770,4157, we have to find the factors of both numbers and list the highest common factor.

The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770

The factors of 4157 are 1, 4157

The HCF of 4770,4157 is 1.

Lets's calculate GCF of 4770,4157

Greatest Common Factor (GCF) of 4770,4157 By Common Division

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

Greatest Common Factor of 4770,4157 By Matching Biggest Common Factor Method

Now, list down the factors of 4770

1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770

Now, list down the factors of 4157

1,4157

Greatest Common Factor

We found the factors 4770,4157 . The biggest common factor number is the GCF number.
So the greatest common factor 4770,4157 is 1.

Lets's calculate LCM of 476,4456

Lowest Common Multiple of 476,4456 using Common Division

2	476, 4456
2	238, 2228
	119, 1114

∴ So the LCM of the given numbers is 2 x 2 x 119 x 1114 = 530264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530264

Therefore, the GCF of Fractions 4770/476,4157/4456 is 1/530264

Least Common Multiple of 476,4456 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 476,4456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,4456) = 4

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

GCF(476,4456) x common factors =4 x 1 = 4

LCM(476,4456) = ( 476 × 4456 ) / 4

LCM(476,4456) = 2121056 / 4

LCM(476,4456) = 530264

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4770/476, 4157/4456

1. What is the HCF of 4770,4157?

The HCF of 4770,4157 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 4770/476, 4157/4456?

Answer: GCF of Numerators as per given numbers 4770/476, 4157/4456 is

GCF of Numerators i.e. for 4770,4157 is 1

LCM of denominators i.e. for 476,4456 is 530264.

Thus, GCF of Fractions is 1/530264.Finally, GCF of Fractions for 4770/476, 4157/4456 is 1/530264.