Greatest Common Factor of 4/56, 13/41, 17/762, 475/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/56, 13/41, 17/762, 475/410

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4/56,13/41,17/762,475/410

Given fractions are 4/56,13/41,17/762,475/410

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4,13,17,475

Greatest Common Factor of Numerators i.e. GCF of 4,13,17,475 is 1 .

LCM of Denominators means LCM of 56,41,762,410 as per the given fractions.

LCM of 56,41,762,410 is 4373880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,13,17,475

GCF of Fractions 4/56,13/41,17/762,475/410 is 1/4373880

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

Greatest Common Factor of 4,13,17,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,13,17,475 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 4,13,17,475 . The biggest common factor number is the GCF number.
So the greatest common factor 4,13,17,475 is 1.

Lets's calculate LCM of 56,41,762,410

2 56, 41, 762, 410
41 28, 41, 381, 205
28, 1, 381, 5

∴ So the LCM of the given numbers is 2 x 41 x 28 x 1 x 381 x 5 = 4373880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4373880

Therefore, the GCF of Fractions 4/56,13/41,17/762,475/410 is 1/4373880

Least Common Multiple of 56,41,762,410 with GCF Formula

Least Common Multiple of 56,41,762,410 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 56,41,762,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,41,762,410) = 1

common factors(in case of two or more numbers have common factors) = 164

GCF(56,41,762,410) x common factors =1 x 164 = 164

LCM(56,41,762,410) = ( 56 × 41 × 762 × 410 ) / 164

LCM(56,41,762,410) = 717316320 / 164

LCM(56,41,762,410) = 4373880


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4/56, 13/41, 17/762, 475/410

1. 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.

2. What is the GCF of Fractions for 4/56, 13/41, 17/762, 475/410?

Answer: GCF of Numerators as per given numbers 4/56, 13/41, 17/762, 475/410 is

GCF of Numerators i.e. for 4,13,17,475 is 1

LCM of denominators i.e. for 56,41,762,410 is 4373880.

Thus, GCF of Fractions is 1/4373880.Finally, GCF of Fractions for 4/56, 13/41, 17/762, 475/410 is 1/4373880.