How to Find GCF of 40/25, 887/40, 276/215?

GCF of 40/25, 887/40, 276/215

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 40/25, 887/40, 276/215 i.e 1/8600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/25, 887/40, 276/215.

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 40/25,887/40,276/215?

Given fractions are 40/25,887/40,276/215

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 40/25,887/40,276/215, numerators are 40,887,276

Denominators are 25,40,215

The GCF of 40,887,276 is 1 .

LCM of 25,40,215 is 8600.

The greatest common factor of 40/25,887/40,276/215 = [GCF of 40,887,276]/[LCM of 25,40,215]= 1/8600

Therefore, the GCF of 40/25,887/40,276/215 is 1/8600.

Greatest Common Factor of 40,887,276

To find the highest common factor of 40,887,276, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 887 are 1, 887

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

The HCF of 40,887,276 is 1.

Lets's calculate GCF of 40,887,276

Greatest Common Factor (GCF) of 40,887,276 By Common Division

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

Greatest Common Factor of 40,887,276 By Matching Biggest Common Factor Method

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 887

1,887

Now, list down the factors of 276

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 40,887,276 . The biggest common factor number is the GCF number.
So the greatest common factor 40,887,276 is 1.

Lets's calculate LCM of 25,40,215

Lowest Common Multiple of 25,40,215 using Common Division

5	25, 40, 215
	5, 8, 43

∴ So the LCM of the given numbers is 5 x 5 x 8 x 43 = 8600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8600

Therefore, the GCF of Fractions 40/25,887/40,276/215 is 1/8600

Least Common Multiple of 25,40,215 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 25,40,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,40,215) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(25,40,215) x common factors =5 x 5 = 25

LCM(25,40,215) = ( 25 × 40 × 215 ) / 25

LCM(25,40,215) = 215000 / 25

LCM(25,40,215) = 8600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 40/25, 887/40, 276/215

1. What is the HCF of 40,887,276?

The HCF of 40,887,276 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 40/25, 887/40, 276/215?

Answer: GCF of Numerators as per given numbers 40/25, 887/40, 276/215 is

GCF of Numerators i.e. for 40,887,276 is 1

LCM of denominators i.e. for 25,40,215 is 8600.

Thus, GCF of Fractions is 1/8600.Finally, GCF of Fractions for 40/25, 887/40, 276/215 is 1/8600.