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GCF of 389/28, 204/7781

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 389/28, 204/7781 i.e 1/217868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/28, 204/7781.

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 389/28,204/7781?

Given fractions are 389/28,204/7781

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 389/28,204/7781, numerators are 389,204

Denominators are 28,7781

The GCF of 389,204 is 1 .

LCM of 28,7781 is 217868.

The greatest common factor of 389/28,204/7781 = [GCF of 389,204]/[LCM of 28,7781]= 1/217868

Therefore, the GCF of 389/28,204/7781 is 1/217868.

Greatest Common Factor of 389,204

To find the highest common factor of 389,204, we have to find the factors of both numbers and list the highest common factor.

The factors of 389 are 1, 389

The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The HCF of 389,204 is 1.

Lets's calculate GCF of 389,204

Greatest Common Factor (GCF) of 389,204 By Common Division

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

Greatest Common Factor of 389,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,204 By Matching Biggest Common Factor Method

Now, list down the factors of 389

:

1,389

Now, list down the factors of 204

:

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 389,204 . The biggest common factor number is the GCF number.
So the greatest common factor 389,204 is 1.

Lets's calculate LCM of 28,7781

Lowest Common Multiple of 28,7781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 217868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217868

Therefore, the GCF of Fractions 389/28,204/7781 is 1/217868

Least Common Multiple of 28,7781 with GCF Formula

Least Common Multiple of 28,7781 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 28,7781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,7781) = 1

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

GCF(28,7781) x common factors =1 x 1 = 1

LCM(28,7781) = ( 28 × 7781 ) / 1

LCM(28,7781) = 217868 / 1

LCM(28,7781) = 217868


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FAQs on GCF of Fractions of 389/28, 204/7781

1. What is the HCF of 389,204?

The HCF of 389,204 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 389/28, 204/7781?

Answer: GCF of Numerators as per given numbers 389/28, 204/7781 is

GCF of Numerators i.e. for 389,204 is 1

LCM of denominators i.e. for 28,7781 is 217868.

Thus, GCF of Fractions is 1/217868.Finally, GCF of Fractions for 389/28, 204/7781 is 1/217868.