How to Find GCF of 11/80, 927/20, 457/995?

GCF of 11/80, 927/20, 457/995

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 11/80, 927/20, 457/995 i.e 1/15920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/80, 927/20, 457/995.

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 11/80,927/20,457/995?

Given fractions are 11/80,927/20,457/995

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 11/80,927/20,457/995, numerators are 11,927,457

Denominators are 80,20,995

The GCF of 11,927,457 is 1 .

LCM of 80,20,995 is 15920.

The greatest common factor of 11/80,927/20,457/995 = [GCF of 11,927,457]/[LCM of 80,20,995]= 1/15920

Therefore, the GCF of 11/80,927/20,457/995 is 1/15920.

Greatest Common Factor of 11,927,457

To find the highest common factor of 11,927,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 927 are 1, 3, 9, 103, 309, 927

The factors of 457 are 1, 457

The HCF of 11,927,457 is 1.

Lets's calculate GCF of 11,927,457

Greatest Common Factor (GCF) of 11,927,457 By Common Division

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

Greatest Common Factor of 11,927,457 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 927

1,3,9,103,309,927

Now, list down the factors of 457

1,457

Greatest Common Factor

We found the factors 11,927,457 . The biggest common factor number is the GCF number.
So the greatest common factor 11,927,457 is 1.

Lets's calculate LCM of 80,20,995

Lowest Common Multiple of 80,20,995 using Common Division

2	80, 20, 995
2	40, 10, 995
5	20, 5, 995
	4, 1, 199

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 1 x 199 = 15920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15920

Therefore, the GCF of Fractions 11/80,927/20,457/995 is 1/15920

Least Common Multiple of 80,20,995 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 80,20,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,20,995) = 5

common factors(in case of two or more numbers have common factors) = 20

GCF(80,20,995) x common factors =5 x 20 = 100

LCM(80,20,995) = ( 80 × 20 × 995 ) / 100

LCM(80,20,995) = 1592000 / 100

LCM(80,20,995) = 15920

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 11/80, 927/20, 457/995

1. What is the HCF of 11,927,457?

The HCF of 11,927,457 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 11/80, 927/20, 457/995?

Answer: GCF of Numerators as per given numbers 11/80, 927/20, 457/995 is

GCF of Numerators i.e. for 11,927,457 is 1

LCM of denominators i.e. for 80,20,995 is 15920.

Thus, GCF of Fractions is 1/15920.Finally, GCF of Fractions for 11/80, 927/20, 457/995 is 1/15920.