Greatest Common Factor of 4385/154, 5585/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4385/154, 5585/245

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 4385/154,5585/245

Given fractions are 4385/154,5585/245

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 4385,5585

Greatest Common Factor of Numerators i.e. GCF of 4385,5585 is 5 .

LCM of Denominators means LCM of 154,245 as per the given fractions.

LCM of 154,245 is 5390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4385,5585

GCF of Fractions 4385/154,5585/245 is 5/5390

5 4385, 5585
877, 1117

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

Greatest Common Factor of 4385,5585 By Matching Biggest Common Factor Method

Greatest Common Factor of 4385,5585 By Matching Biggest Common Factor Method

Factors of 4385

List of positive integer factors of 4385 that divides 4385 without a remainder.

1,5,877,4385

Factors of 5585

List of positive integer factors of 5585 that divides 5585 without a remainder.

1,5,1117,5585

Greatest Common Factor

We found the factors 4385,5585 . The biggest common factor number is the GCF number.
So the greatest common factor 4385,5585 is 5.

Lets's calculate LCM of 154,245

7 154, 245
22, 35

∴ So the LCM of the given numbers is 7 x 22 x 35 = 5390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5390

Therefore, the GCF of Fractions 4385/154,5585/245 is 5/5390

Least Common Multiple of 154,245 with GCF Formula

Least Common Multiple of 154,245 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 154,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,245) = 7

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

GCF(154,245) x common factors =7 x 1 = 7

LCM(154,245) = ( 154 × 245 ) / 7

LCM(154,245) = 37730 / 7

LCM(154,245) = 5390


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 4385/154, 5585/245

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 4385/154, 5585/245?

Answer: GCF of Numerators as per given numbers 4385/154, 5585/245 is

GCF of Numerators i.e. for 4385,5585 is 5

LCM of denominators i.e. for 154,245 is 5390.

Thus, GCF of Fractions is 5/5390.Finally, GCF of Fractions for 4385/154, 5585/245 is 5/5390.