How to Find GCF of 768/26, 768/927?

GCF of 768/26, 768/927

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 768/26, 768/927 i.e 768/24102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/26, 768/927.

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 768/26,768/927?

Given fractions are 768/26,768/927

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 768/26,768/927, numerators are 768,768

Denominators are 26,927

The GCF of 768,768 is 768 .

LCM of 26,927 is 24102.

The greatest common factor of 768/26,768/927 = [GCF of 768,768]/[LCM of 26,927]= 768/24102

Therefore, the GCF of 768/26,768/927 is 768/24102.

Greatest Common Factor of 768,768

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

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 768,768 is 768.

Lets's calculate GCF of 768,768

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

2	768, 768
2	384, 384
2	192, 192
2	96, 96
2	48, 48
2	24, 24
2	12, 12
2	6, 6
3	3, 3
	1, 1

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 = 768

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

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

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

Lets's calculate LCM of 26,927

Lowest Common Multiple of 26,927 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 768/24102

Therefore, the GCF of Fractions 768/26,768/927 is 768/24102

Least Common Multiple of 26,927 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 26,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,927) = 1

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

GCF(26,927) x common factors =1 x 1 = 1

LCM(26,927) = ( 26 × 927 ) / 1

LCM(26,927) = 24102 / 1

LCM(26,927) = 24102

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FAQs on GCF of Fractions of 768/26, 768/927

1. What is the HCF of 768,768?

The HCF of 768,768 is 768

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 768/26, 768/927?

Answer: GCF of Numerators as per given numbers 768/26, 768/927 is

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

LCM of denominators i.e. for 26,927 is 24102.

Thus, GCF of Fractions is 768/24102.Finally, GCF of Fractions for 768/26, 768/927 is 768/24102.