Greatest Common Factor of 4845/35, 3488/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4845/35, 3488/730

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 4845/35,3488/730

Given fractions are 4845/35,3488/730

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 4845,3488

Greatest Common Factor of Numerators i.e. GCF of 4845,3488 is 1 .

LCM of Denominators means LCM of 35,730 as per the given fractions.

LCM of 35,730 is 5110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4845,3488

GCF of Fractions 4845/35,3488/730 is 1/5110

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

Greatest Common Factor of 4845,3488 By Matching Biggest Common Factor Method

Greatest Common Factor of 4845,3488 By Matching Biggest Common Factor Method

Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845

Factors of 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1,2,4,8,16,32,109,218,436,872,1744,3488

Greatest Common Factor

We found the factors 4845,3488 . The biggest common factor number is the GCF number.
So the greatest common factor 4845,3488 is 1.

Lets's calculate LCM of 35,730

5 35, 730
7, 146

∴ So the LCM of the given numbers is 5 x 7 x 146 = 5110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5110

Therefore, the GCF of Fractions 4845/35,3488/730 is 1/5110

Least Common Multiple of 35,730 with GCF Formula

Least Common Multiple of 35,730 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 35,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,730) = 5

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

GCF(35,730) x common factors =5 x 1 = 5

LCM(35,730) = ( 35 × 730 ) / 5

LCM(35,730) = 25550 / 5

LCM(35,730) = 5110


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 4845/35, 3488/730

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 4845/35, 3488/730?

Answer: GCF of Numerators as per given numbers 4845/35, 3488/730 is

GCF of Numerators i.e. for 4845,3488 is 1

LCM of denominators i.e. for 35,730 is 5110.

Thus, GCF of Fractions is 1/5110.Finally, GCF of Fractions for 4845/35, 3488/730 is 1/5110.