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GCF of 100/81, 768/412

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 100/81, 768/412 i.e 4/33372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 100/81, 768/412.

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 100/81,768/412?

Given fractions are 100/81,768/412

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 100/81,768/412, numerators are 100,768

Denominators are 81,412

The GCF of 100,768 is 4 .

LCM of 81,412 is 33372.

The greatest common factor of 100/81,768/412 = [GCF of 100,768]/[LCM of 81,412]= 4/33372

Therefore, the GCF of 100/81,768/412 is 4/33372.

Greatest Common Factor of 100,768

To find the highest common factor of 100,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

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 100,768 is 4.

Lets's calculate GCF of 100,768

Greatest Common Factor (GCF) of 100,768 By Common Division

2 100, 768
2 50, 384
25, 192

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 100,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,768 By Matching Biggest Common Factor Method

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

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 100,768 . The biggest common factor number is the GCF number.
So the greatest common factor 100,768 is 4.

Lets's calculate LCM of 81,412

Lowest Common Multiple of 81,412 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33372

Therefore, the GCF of Fractions 100/81,768/412 is 4/33372

Least Common Multiple of 81,412 with GCF Formula

Least Common Multiple of 81,412 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 81,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,412) = 1

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

GCF(81,412) x common factors =1 x 1 = 1

LCM(81,412) = ( 81 × 412 ) / 1

LCM(81,412) = 33372 / 1

LCM(81,412) = 33372


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FAQs on GCF of Fractions of 100/81, 768/412

1. What is the HCF of 100,768?

The HCF of 100,768 is 4

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 100/81, 768/412?

Answer: GCF of Numerators as per given numbers 100/81, 768/412 is

GCF of Numerators i.e. for 100,768 is 4

LCM of denominators i.e. for 81,412 is 33372.

Thus, GCF of Fractions is 4/33372.Finally, GCF of Fractions for 100/81, 768/412 is 4/33372.