How to Find GCF of 128/24, 768/815?

GCF of 128/24, 768/815

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 128/24, 768/815 i.e 128/19560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/24, 768/815.

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 128/24,768/815?

Given fractions are 128/24,768/815

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 128/24,768/815, numerators are 128,768

Denominators are 24,815

The GCF of 128,768 is 128 .

LCM of 24,815 is 19560.

The greatest common factor of 128/24,768/815 = [GCF of 128,768]/[LCM of 24,815]= 128/19560

Therefore, the GCF of 128/24,768/815 is 128/19560.

Greatest Common Factor of 128,768

To find the highest common factor of 128,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

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 128,768 is 128.

Lets's calculate GCF of 128,768

Greatest Common Factor (GCF) of 128,768 By Common Division

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

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

Greatest Common Factor of 128,768 By Matching Biggest Common Factor Method

Now, list down the factors of 128

1,2,4,8,16,32,64,128

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 128,768 . The biggest common factor number is the GCF number.
So the greatest common factor 128,768 is 128.

Lets's calculate LCM of 24,815

Lowest Common Multiple of 24,815 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 19560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 128/19560

Therefore, the GCF of Fractions 128/24,768/815 is 128/19560

Least Common Multiple of 24,815 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 24,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,815) = 1

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

GCF(24,815) x common factors =1 x 1 = 1

LCM(24,815) = ( 24 × 815 ) / 1

LCM(24,815) = 19560 / 1

LCM(24,815) = 19560

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 128/24, 768/815

1. What is the HCF of 128,768?

The HCF of 128,768 is 128

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 128/24, 768/815?

Answer: GCF of Numerators as per given numbers 128/24, 768/815 is

GCF of Numerators i.e. for 128,768 is 128

LCM of denominators i.e. for 24,815 is 19560.

Thus, GCF of Fractions is 128/19560.Finally, GCF of Fractions for 128/24, 768/815 is 128/19560.