Greatest Common Factor of 385/19, 602/62, 622/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/19, 602/62, 622/820

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 385/19,602/62,622/820

Given fractions are 385/19,602/62,622/820

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 385,602,622

Greatest Common Factor of Numerators i.e. GCF of 385,602,622 is 1 .

LCM of Denominators means LCM of 19,62,820 as per the given fractions.

LCM of 19,62,820 is 482980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,602,622

GCF of Fractions 385/19,602/62,622/820 is 1/482980

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

Greatest Common Factor of 385,602,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,602,622 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 385,602,622 . The biggest common factor number is the GCF number.
So the greatest common factor 385,602,622 is 1.

Lets's calculate LCM of 19,62,820

2 19, 62, 820
19, 31, 410

∴ So the LCM of the given numbers is 2 x 19 x 31 x 410 = 482980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482980

Therefore, the GCF of Fractions 385/19,602/62,622/820 is 1/482980

Least Common Multiple of 19,62,820 with GCF Formula

Least Common Multiple of 19,62,820 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 19,62,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,62,820) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,62,820) x common factors =1 x 2 = 2

LCM(19,62,820) = ( 19 × 62 × 820 ) / 2

LCM(19,62,820) = 965960 / 2

LCM(19,62,820) = 482980


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 385/19, 602/62, 622/820

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 385/19, 602/62, 622/820?

Answer: GCF of Numerators as per given numbers 385/19, 602/62, 622/820 is

GCF of Numerators i.e. for 385,602,622 is 1

LCM of denominators i.e. for 19,62,820 is 482980.

Thus, GCF of Fractions is 1/482980.Finally, GCF of Fractions for 385/19, 602/62, 622/820 is 1/482980.