How to Find GCF of 15/66, 271/94, 876/970?

GCF of 15/66, 271/94, 876/970

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 15/66, 271/94, 876/970 i.e 1/1504470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/66, 271/94, 876/970.

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 15/66,271/94,876/970?

Given fractions are 15/66,271/94,876/970

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 15/66,271/94,876/970, numerators are 15,271,876

Denominators are 66,94,970

The GCF of 15,271,876 is 1 .

LCM of 66,94,970 is 1504470.

The greatest common factor of 15/66,271/94,876/970 = [GCF of 15,271,876]/[LCM of 66,94,970]= 1/1504470

Therefore, the GCF of 15/66,271/94,876/970 is 1/1504470.

Greatest Common Factor of 15,271,876

To find the highest common factor of 15,271,876, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 271 are 1, 271

The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

The HCF of 15,271,876 is 1.

Lets's calculate GCF of 15,271,876

Greatest Common Factor (GCF) of 15,271,876 By Common Division

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

Greatest Common Factor of 15,271,876 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 271

1,271

Now, list down the factors of 876

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 15,271,876 . The biggest common factor number is the GCF number.
So the greatest common factor 15,271,876 is 1.

Lets's calculate LCM of 66,94,970

Lowest Common Multiple of 66,94,970 using Common Division

2	66, 94, 970
	33, 47, 485

∴ So the LCM of the given numbers is 2 x 33 x 47 x 485 = 1504470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1504470

Therefore, the GCF of Fractions 15/66,271/94,876/970 is 1/1504470

Least Common Multiple of 66,94,970 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 66,94,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,94,970) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(66,94,970) x common factors =2 x 2 = 4

LCM(66,94,970) = ( 66 × 94 × 970 ) / 4

LCM(66,94,970) = 6017880 / 4

LCM(66,94,970) = 1504470

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 15/66, 271/94, 876/970

1. What is the HCF of 15,271,876?

The HCF of 15,271,876 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 15/66, 271/94, 876/970?

Answer: GCF of Numerators as per given numbers 15/66, 271/94, 876/970 is

GCF of Numerators i.e. for 15,271,876 is 1

LCM of denominators i.e. for 66,94,970 is 1504470.

Thus, GCF of Fractions is 1/1504470.Finally, GCF of Fractions for 15/66, 271/94, 876/970 is 1/1504470.