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GCF of 3860/200, 3209/754

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 3860/200, 3209/754 i.e 1/75400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3860/200, 3209/754.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 3860/200,3209/754?

Given fractions are 3860/200,3209/754

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 3860/200,3209/754, numerators are 3860,3209

Denominators are 200,754

The GCF of 3860,3209 is 1 .

LCM of 200,754 is 75400.

The greatest common factor of 3860/200,3209/754 = [GCF of 3860,3209]/[LCM of 200,754]= 1/75400

Therefore, the GCF of 3860/200,3209/754 is 1/75400.

Greatest Common Factor of 3860,3209

To find the highest common factor of 3860,3209, we have to find the factors of both numbers and list the highest common factor.

The factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860

The factors of 3209 are 1, 3209

The HCF of 3860,3209 is 1.

Lets's calculate GCF of 3860,3209

Greatest Common Factor (GCF) of 3860,3209 By Common Division

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

Greatest Common Factor of 3860,3209 By Matching Biggest Common Factor Method

Greatest Common Factor of 3860,3209 By Matching Biggest Common Factor Method

Now, list down the factors of 3860

:

1,2,4,5,10,20,193,386,772,965,1930,3860

Now, list down the factors of 3209

:

1,3209

Greatest Common Factor

We found the factors 3860,3209 . The biggest common factor number is the GCF number.
So the greatest common factor 3860,3209 is 1.

Lets's calculate LCM of 200,754

Lowest Common Multiple of 200,754 using Common Division

2 200, 754
100, 377

∴ So the LCM of the given numbers is 2 x 100 x 377 = 75400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75400

Therefore, the GCF of Fractions 3860/200,3209/754 is 1/75400

Least Common Multiple of 200,754 with GCF Formula

Least Common Multiple of 200,754 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 200,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,754) = 2

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

GCF(200,754) x common factors =2 x 1 = 2

LCM(200,754) = ( 200 × 754 ) / 2

LCM(200,754) = 150800 / 2

LCM(200,754) = 75400


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FAQs on GCF of Fractions of 3860/200, 3209/754

1. What is the HCF of 3860,3209?

The HCF of 3860,3209 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 3860/200, 3209/754?

Answer: GCF of Numerators as per given numbers 3860/200, 3209/754 is

GCF of Numerators i.e. for 3860,3209 is 1

LCM of denominators i.e. for 200,754 is 75400.

Thus, GCF of Fractions is 1/75400.Finally, GCF of Fractions for 3860/200, 3209/754 is 1/75400.