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GCF of 377/672, 533/336

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 377/672, 533/336 i.e 13/672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/672, 533/336.

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 377/672,533/336?

Given fractions are 377/672,533/336

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 377/672,533/336, numerators are 377,533

Denominators are 672,336

The GCF of 377,533 is 13 .

LCM of 672,336 is 672.

The greatest common factor of 377/672,533/336 = [GCF of 377,533]/[LCM of 672,336]= 13/672

Therefore, the GCF of 377/672,533/336 is 13/672.

Greatest Common Factor of 377,533

To find the highest common factor of 377,533, we have to find the factors of both numbers and list the highest common factor.

The factors of 377 are 1, 13, 29, 377

The factors of 533 are 1, 13, 41, 533

The HCF of 377,533 is 13.

Lets's calculate GCF of 377,533

Greatest Common Factor (GCF) of 377,533 By Common Division

13 377, 533
29, 41

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 377,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,533 By Matching Biggest Common Factor Method

Now, list down the factors of 377

:

1,13,29,377

Now, list down the factors of 533

:

1,13,41,533

Greatest Common Factor

We found the factors 377,533 . The biggest common factor number is the GCF number.
So the greatest common factor 377,533 is 13.

Lets's calculate LCM of 672,336

Lowest Common Multiple of 672,336 using Common Division

2 672, 336
2 336, 168
2 84, 168
2 42, 84
3 21, 42
7 7, 14
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 1 x 2 = 672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/672

Therefore, the GCF of Fractions 377/672,533/336 is 13/672

Least Common Multiple of 672,336 with GCF Formula

Least Common Multiple of 672,336 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 672,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,336) = 336

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

GCF(672,336) x common factors =336 x 1 = 336

LCM(672,336) = ( 672 × 336 ) / 336

LCM(672,336) = 225792 / 336

LCM(672,336) = 672


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FAQs on GCF of Fractions of 377/672, 533/336

1. What is the HCF of 377,533?

The HCF of 377,533 is 13

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 377/672, 533/336?

Answer: GCF of Numerators as per given numbers 377/672, 533/336 is

GCF of Numerators i.e. for 377,533 is 13

LCM of denominators i.e. for 672,336 is 672.

Thus, GCF of Fractions is 13/672.Finally, GCF of Fractions for 377/672, 533/336 is 13/672.