How to Find GCF of 848/27, 768/137?

GCF of 848/27, 768/137

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 848/27, 768/137 i.e 16/3699 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/27, 768/137.

Enter two or more fractions separated by "commas"

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

What is the GCF of 848/27,768/137?

Given fractions are 848/27,768/137

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 848/27,768/137, numerators are 848,768

Denominators are 27,137

The GCF of 848,768 is 16 .

LCM of 27,137 is 3699.

The greatest common factor of 848/27,768/137 = [GCF of 848,768]/[LCM of 27,137]= 16/3699

Therefore, the GCF of 848/27,768/137 is 16/3699.

Greatest Common Factor of 848,768

To find the highest common factor of 848,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

The HCF of 848,768 is 16.

Lets's calculate GCF of 848,768

Greatest Common Factor (GCF) of 848,768 By Common Division

2	848, 768
2	424, 384
2	212, 192
2	106, 96
	53, 48

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

Greatest Common Factor of 848,768 By Matching Biggest Common Factor Method

Now, list down the factors of 848

1,2,4,8,16,53,106,212,424,848

Now, list down the factors of 768

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 848,768 . The biggest common factor number is the GCF number.
So the greatest common factor 848,768 is 16.

Lets's calculate LCM of 27,137

Lowest Common Multiple of 27,137 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3699

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3699

Therefore, the GCF of Fractions 848/27,768/137 is 16/3699

Least Common Multiple of 27,137 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 27,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,137) = 1

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

GCF(27,137) x common factors =1 x 1 = 1

LCM(27,137) = ( 27 × 137 ) / 1

LCM(27,137) = 3699 / 1

LCM(27,137) = 3699

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FAQs on GCF of Fractions of 848/27, 768/137

1. What is the HCF of 848,768?

The HCF of 848,768 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 848/27, 768/137?

Answer: GCF of Numerators as per given numbers 848/27, 768/137 is

GCF of Numerators i.e. for 848,768 is 16

LCM of denominators i.e. for 27,137 is 3699.

Thus, GCF of Fractions is 16/3699.Finally, GCF of Fractions for 848/27, 768/137 is 16/3699.