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GCF of 32/277, 48/6837

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 32/277, 48/6837 i.e 16/1893849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/277, 48/6837.

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 32/277,48/6837?

Given fractions are 32/277,48/6837

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 32/277,48/6837, numerators are 32,48

Denominators are 277,6837

The GCF of 32,48 is 16 .

LCM of 277,6837 is 1893849.

The greatest common factor of 32/277,48/6837 = [GCF of 32,48]/[LCM of 277,6837]= 16/1893849

Therefore, the GCF of 32/277,48/6837 is 16/1893849.

Greatest Common Factor of 32,48

To find the highest common factor of 32,48, we have to find the factors of both numbers and list the highest common factor.

The factors of 32 are 1, 2, 4, 8, 16, 32

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The HCF of 32,48 is 16.

Lets's calculate GCF of 32,48

Greatest Common Factor (GCF) of 32,48 By Common Division

2 32, 48
2 16, 24
2 8, 12
2 4, 6
2, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 32,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,48 By Matching Biggest Common Factor Method

Now, list down the factors of 32

:

1,2,4,8,16,32

Now, list down the factors of 48

:

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 32,48 . The biggest common factor number is the GCF number.
So the greatest common factor 32,48 is 16.

Lets's calculate LCM of 277,6837

Lowest Common Multiple of 277,6837 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1893849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1893849

Therefore, the GCF of Fractions 32/277,48/6837 is 16/1893849

Least Common Multiple of 277,6837 with GCF Formula

Least Common Multiple of 277,6837 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 277,6837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,6837) = 1

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

GCF(277,6837) x common factors =1 x 1 = 1

LCM(277,6837) = ( 277 × 6837 ) / 1

LCM(277,6837) = 1893849 / 1

LCM(277,6837) = 1893849


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 32/277, 48/6837

1. What is the HCF of 32,48?

The HCF of 32,48 is 16

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 32/277, 48/6837?

Answer: GCF of Numerators as per given numbers 32/277, 48/6837 is

GCF of Numerators i.e. for 32,48 is 16

LCM of denominators i.e. for 277,6837 is 1893849.

Thus, GCF of Fractions is 16/1893849.Finally, GCF of Fractions for 32/277, 48/6837 is 16/1893849.