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GCF of 904/48, 768/641

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 904/48, 768/641 i.e 8/30768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/48, 768/641.

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 904/48,768/641?

Given fractions are 904/48,768/641

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 904/48,768/641, numerators are 904,768

Denominators are 48,641

The GCF of 904,768 is 8 .

LCM of 48,641 is 30768.

The greatest common factor of 904/48,768/641 = [GCF of 904,768]/[LCM of 48,641]= 8/30768

Therefore, the GCF of 904/48,768/641 is 8/30768.

Greatest Common Factor of 904,768

To find the highest common factor of 904,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904

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 904,768 is 8.

Lets's calculate GCF of 904,768

Greatest Common Factor (GCF) of 904,768 By Common Division

2 904, 768
2 452, 384
2 226, 192
113, 96

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 904,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,768 By Matching Biggest Common Factor Method

Now, list down the factors of 904

:

1,2,4,8,113,226,452,904

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 904,768 . The biggest common factor number is the GCF number.
So the greatest common factor 904,768 is 8.

Lets's calculate LCM of 48,641

Lowest Common Multiple of 48,641 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/30768

Therefore, the GCF of Fractions 904/48,768/641 is 8/30768

Least Common Multiple of 48,641 with GCF Formula

Least Common Multiple of 48,641 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 48,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,641) = 1

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

GCF(48,641) x common factors =1 x 1 = 1

LCM(48,641) = ( 48 × 641 ) / 1

LCM(48,641) = 30768 / 1

LCM(48,641) = 30768


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FAQs on GCF of Fractions of 904/48, 768/641

1. What is the HCF of 904,768?

The HCF of 904,768 is 8

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 904/48, 768/641?

Answer: GCF of Numerators as per given numbers 904/48, 768/641 is

GCF of Numerators i.e. for 904,768 is 8

LCM of denominators i.e. for 48,641 is 30768.

Thus, GCF of Fractions is 8/30768.Finally, GCF of Fractions for 904/48, 768/641 is 8/30768.