Greatest Common Factor of 235/345, 485/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 235/345, 485/506

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 235/345,485/506

Given fractions are 235/345,485/506

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 235,485

Greatest Common Factor of Numerators i.e. GCF of 235,485 is 5 .

LCM of Denominators means LCM of 345,506 as per the given fractions.

LCM of 345,506 is 7590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 235,485

GCF of Fractions 235/345,485/506 is 5/7590

5 235, 485
47, 97

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 235,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,485 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 235,485 . The biggest common factor number is the GCF number.
So the greatest common factor 235,485 is 5.

Lets's calculate LCM of 345,506

23 345, 506
15, 22

∴ So the LCM of the given numbers is 23 x 15 x 22 = 7590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7590

Therefore, the GCF of Fractions 235/345,485/506 is 5/7590

Least Common Multiple of 345,506 with GCF Formula

Least Common Multiple of 345,506 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 345,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,506) = 23

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

GCF(345,506) x common factors =23 x 1 = 23

LCM(345,506) = ( 345 × 506 ) / 23

LCM(345,506) = 174570 / 23

LCM(345,506) = 7590


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 235/345, 485/506

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 235/345, 485/506?

Answer: GCF of Numerators as per given numbers 235/345, 485/506 is

GCF of Numerators i.e. for 235,485 is 5

LCM of denominators i.e. for 345,506 is 7590.

Thus, GCF of Fractions is 5/7590.Finally, GCF of Fractions for 235/345, 485/506 is 5/7590.