How to Find GCF of 48/64, 728/28, 457/551?

GCF of 48/64, 728/28, 457/551

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 48/64, 728/28, 457/551 i.e 1/246848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/64, 728/28, 457/551.

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 48/64,728/28,457/551?

Given fractions are 48/64,728/28,457/551

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 48/64,728/28,457/551, numerators are 48,728,457

Denominators are 64,28,551

The GCF of 48,728,457 is 1 .

LCM of 64,28,551 is 246848.

The greatest common factor of 48/64,728/28,457/551 = [GCF of 48,728,457]/[LCM of 64,28,551]= 1/246848

Therefore, the GCF of 48/64,728/28,457/551 is 1/246848.

Greatest Common Factor of 48,728,457

To find the highest common factor of 48,728,457, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The factors of 457 are 1, 457

The HCF of 48,728,457 is 1.

Lets's calculate GCF of 48,728,457

Greatest Common Factor (GCF) of 48,728,457 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 48,728,457 By Matching Biggest Common Factor Method

Now, list down the factors of 48

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

Now, list down the factors of 728

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Now, list down the factors of 457

1,457

Greatest Common Factor

We found the factors 48,728,457 . The biggest common factor number is the GCF number.
So the greatest common factor 48,728,457 is 1.

Lets's calculate LCM of 64,28,551

Lowest Common Multiple of 64,28,551 using Common Division

2	64, 28, 551
2	32, 14, 551
	16, 7, 551

∴ So the LCM of the given numbers is 2 x 2 x 16 x 7 x 551 = 246848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246848

Therefore, the GCF of Fractions 48/64,728/28,457/551 is 1/246848

Least Common Multiple of 64,28,551 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 64,28,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,28,551) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,28,551) x common factors =1 x 4 = 4

LCM(64,28,551) = ( 64 × 28 × 551 ) / 4

LCM(64,28,551) = 987392 / 4

LCM(64,28,551) = 246848

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FAQs on GCF of Fractions of 48/64, 728/28, 457/551

1. What is the HCF of 48,728,457?

The HCF of 48,728,457 is 1

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 48/64, 728/28, 457/551?

Answer: GCF of Numerators as per given numbers 48/64, 728/28, 457/551 is

GCF of Numerators i.e. for 48,728,457 is 1

LCM of denominators i.e. for 64,28,551 is 246848.

Thus, GCF of Fractions is 1/246848.Finally, GCF of Fractions for 48/64, 728/28, 457/551 is 1/246848.