Greatest Common Factor of 385/38, 545/67, 652/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/38, 545/67, 652/553

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 385/38,545/67,652/553

Given fractions are 385/38,545/67,652/553

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 385,545,652

Greatest Common Factor of Numerators i.e. GCF of 385,545,652 is 1 .

LCM of Denominators means LCM of 38,67,553 as per the given fractions.

LCM of 38,67,553 is 1407938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,545,652

GCF of Fractions 385/38,545/67,652/553 is 1/1407938

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

Greatest Common Factor of 385,545,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,545,652 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 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 385,545,652 . The biggest common factor number is the GCF number.
So the greatest common factor 385,545,652 is 1.

Lets's calculate LCM of 38,67,553

Given numbers has no common factors except 1. So, there LCM is their product i.e 1407938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1407938

Therefore, the GCF of Fractions 385/38,545/67,652/553 is 1/1407938

Least Common Multiple of 38,67,553 with GCF Formula

Least Common Multiple of 38,67,553 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 38,67,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,67,553) = 1

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

GCF(38,67,553) x common factors =1 x 1 = 1

LCM(38,67,553) = ( 38 × 67 × 553 ) / 1

LCM(38,67,553) = 1407938 / 1

LCM(38,67,553) = 1407938


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 385/38, 545/67, 652/553

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 385/38, 545/67, 652/553?

Answer: GCF of Numerators as per given numbers 385/38, 545/67, 652/553 is

GCF of Numerators i.e. for 385,545,652 is 1

LCM of denominators i.e. for 38,67,553 is 1407938.

Thus, GCF of Fractions is 1/1407938.Finally, GCF of Fractions for 385/38, 545/67, 652/553 is 1/1407938.