Greatest Common Factor of 1475/110, 3424/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1475/110, 3424/813

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 1475/110,3424/813

Given fractions are 1475/110,3424/813

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 1475,3424

Greatest Common Factor of Numerators i.e. GCF of 1475,3424 is 1 .

LCM of Denominators means LCM of 110,813 as per the given fractions.

LCM of 110,813 is 89430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1475,3424

GCF of Fractions 1475/110,3424/813 is 1/89430

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

Greatest Common Factor of 1475,3424 By Matching Biggest Common Factor Method

Greatest Common Factor of 1475,3424 By Matching Biggest Common Factor Method

Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1,5,25,59,295,1475

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

Greatest Common Factor

We found the factors 1475,3424 . The biggest common factor number is the GCF number.
So the greatest common factor 1475,3424 is 1.

Lets's calculate LCM of 110,813

Given numbers has no common factors except 1. So, there LCM is their product i.e 89430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89430

Therefore, the GCF of Fractions 1475/110,3424/813 is 1/89430

Least Common Multiple of 110,813 with GCF Formula

Least Common Multiple of 110,813 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 110,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,813) = 1

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

GCF(110,813) x common factors =1 x 1 = 1

LCM(110,813) = ( 110 × 813 ) / 1

LCM(110,813) = 89430 / 1

LCM(110,813) = 89430


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 1475/110, 3424/813

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 1475/110, 3424/813?

Answer: GCF of Numerators as per given numbers 1475/110, 3424/813 is

GCF of Numerators i.e. for 1475,3424 is 1

LCM of denominators i.e. for 110,813 is 89430.

Thus, GCF of Fractions is 1/89430.Finally, GCF of Fractions for 1475/110, 3424/813 is 1/89430.