Greatest Common Factor of 623/10, 236/45, 397/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 623/10, 236/45, 397/371

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 623/10,236/45,397/371

Given fractions are 623/10,236/45,397/371

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 623,236,397

Greatest Common Factor of Numerators i.e. GCF of 623,236,397 is 1 .

LCM of Denominators means LCM of 10,45,371 as per the given fractions.

LCM of 10,45,371 is 33390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 623,236,397

GCF of Fractions 623/10,236/45,397/371 is 1/33390

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

Greatest Common Factor of 623,236,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,236,397 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 623,236,397 . The biggest common factor number is the GCF number.
So the greatest common factor 623,236,397 is 1.

Lets's calculate LCM of 10,45,371

5 10, 45, 371
2, 9, 371

∴ So the LCM of the given numbers is 5 x 2 x 9 x 371 = 33390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33390

Therefore, the GCF of Fractions 623/10,236/45,397/371 is 1/33390

Least Common Multiple of 10,45,371 with GCF Formula

Least Common Multiple of 10,45,371 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 10,45,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,45,371) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(10,45,371) x common factors =1 x 5 = 5

LCM(10,45,371) = ( 10 × 45 × 371 ) / 5

LCM(10,45,371) = 166950 / 5

LCM(10,45,371) = 33390


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 623/10, 236/45, 397/371

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 623/10, 236/45, 397/371?

Answer: GCF of Numerators as per given numbers 623/10, 236/45, 397/371 is

GCF of Numerators i.e. for 623,236,397 is 1

LCM of denominators i.e. for 10,45,371 is 33390.

Thus, GCF of Fractions is 1/33390.Finally, GCF of Fractions for 623/10, 236/45, 397/371 is 1/33390.