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GCF of 209/32, 4378/928

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 209/32, 4378/928 i.e 11/928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 209/32, 4378/928.

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 209/32,4378/928?

Given fractions are 209/32,4378/928

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 209/32,4378/928, numerators are 209,4378

Denominators are 32,928

The GCF of 209,4378 is 11 .

LCM of 32,928 is 928.

The greatest common factor of 209/32,4378/928 = [GCF of 209,4378]/[LCM of 32,928]= 11/928

Therefore, the GCF of 209/32,4378/928 is 11/928.

Greatest Common Factor of 209,4378

To find the highest common factor of 209,4378, we have to find the factors of both numbers and list the highest common factor.

The factors of 209 are 1, 11, 19, 209

The factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378

The HCF of 209,4378 is 11.

Lets's calculate GCF of 209,4378

Greatest Common Factor (GCF) of 209,4378 By Common Division

11 209, 4378
19, 398

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 209,4378 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,4378 By Matching Biggest Common Factor Method

Now, list down the factors of 209

:

1,11,19,209

Now, list down the factors of 4378

:

1,2,11,22,199,398,2189,4378

Greatest Common Factor

We found the factors 209,4378 . The biggest common factor number is the GCF number.
So the greatest common factor 209,4378 is 11.

Lets's calculate LCM of 32,928

Lowest Common Multiple of 32,928 using Common Division

2 32, 928
2 16, 464
2 8, 232
2 4, 116
2 2, 58
1, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 29 = 928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/928

Therefore, the GCF of Fractions 209/32,4378/928 is 11/928

Least Common Multiple of 32,928 with GCF Formula

Least Common Multiple of 32,928 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 32,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,928) = 32

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

GCF(32,928) x common factors =32 x 1 = 32

LCM(32,928) = ( 32 × 928 ) / 32

LCM(32,928) = 29696 / 32

LCM(32,928) = 928


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FAQs on GCF of Fractions of 209/32, 4378/928

1. What is the HCF of 209,4378?

The HCF of 209,4378 is 11

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 209/32, 4378/928?

Answer: GCF of Numerators as per given numbers 209/32, 4378/928 is

GCF of Numerators i.e. for 209,4378 is 11

LCM of denominators i.e. for 32,928 is 928.

Thus, GCF of Fractions is 11/928.Finally, GCF of Fractions for 209/32, 4378/928 is 11/928.