How to Find GCF of 3894/200, 3605/7893?

GCF of 3894/200, 3605/7893

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3894/200, 3605/7893 i.e 1/1578600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3894/200, 3605/7893.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3894/200,3605/7893?

Given fractions are 3894/200,3605/7893

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3894/200,3605/7893, numerators are 3894,3605

Denominators are 200,7893

The GCF of 3894,3605 is 1 .

LCM of 200,7893 is 1578600.

The greatest common factor of 3894/200,3605/7893 = [GCF of 3894,3605]/[LCM of 200,7893]= 1/1578600

Therefore, the GCF of 3894/200,3605/7893 is 1/1578600.

Greatest Common Factor of 3894,3605

To find the highest common factor of 3894,3605, we have to find the factors of both numbers and list the highest common factor.

The factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894

The factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605

The HCF of 3894,3605 is 1.

Lets's calculate GCF of 3894,3605

Greatest Common Factor (GCF) of 3894,3605 By Common Division

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

Greatest Common Factor of 3894,3605 By Matching Biggest Common Factor Method

Now, list down the factors of 3894

1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894

Now, list down the factors of 3605

1,5,7,35,103,515,721,3605

Greatest Common Factor

We found the factors 3894,3605 . The biggest common factor number is the GCF number.
So the greatest common factor 3894,3605 is 1.

Lets's calculate LCM of 200,7893

Lowest Common Multiple of 200,7893 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1578600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1578600

Therefore, the GCF of Fractions 3894/200,3605/7893 is 1/1578600

Least Common Multiple of 200,7893 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 200,7893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,7893) = 1

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

GCF(200,7893) x common factors =1 x 1 = 1

LCM(200,7893) = ( 200 × 7893 ) / 1

LCM(200,7893) = 1578600 / 1

LCM(200,7893) = 1578600

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FAQs on GCF of Fractions of 3894/200, 3605/7893

1. What is the HCF of 3894,3605?

The HCF of 3894,3605 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 3894/200, 3605/7893?

Answer: GCF of Numerators as per given numbers 3894/200, 3605/7893 is

GCF of Numerators i.e. for 3894,3605 is 1

LCM of denominators i.e. for 200,7893 is 1578600.

Thus, GCF of Fractions is 1/1578600.Finally, GCF of Fractions for 3894/200, 3605/7893 is 1/1578600.