How to Find GCF of 15/856, 66/101, 547/736?

GCF of 15/856, 66/101, 547/736

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 15/856, 66/101, 547/736 i.e 1/7953952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/856, 66/101, 547/736.

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 15/856,66/101,547/736?

Given fractions are 15/856,66/101,547/736

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 15/856,66/101,547/736, numerators are 15,66,547

Denominators are 856,101,736

The GCF of 15,66,547 is 1 .

LCM of 856,101,736 is 7953952.

The greatest common factor of 15/856,66/101,547/736 = [GCF of 15,66,547]/[LCM of 856,101,736]= 1/7953952

Therefore, the GCF of 15/856,66/101,547/736 is 1/7953952.

Greatest Common Factor of 15,66,547

To find the highest common factor of 15,66,547, 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 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 547 are 1, 547

The HCF of 15,66,547 is 1.

Lets's calculate GCF of 15,66,547

Greatest Common Factor (GCF) of 15,66,547 By Common Division

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

Greatest Common Factor of 15,66,547 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 547

1,547

Greatest Common Factor

We found the factors 15,66,547 . The biggest common factor number is the GCF number.
So the greatest common factor 15,66,547 is 1.

Lets's calculate LCM of 856,101,736

Lowest Common Multiple of 856,101,736 using Common Division

2	856, 101, 736
2	428, 101, 368
2	214, 101, 184
	107, 101, 92

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 101 x 92 = 7953952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7953952

Therefore, the GCF of Fractions 15/856,66/101,547/736 is 1/7953952

Least Common Multiple of 856,101,736 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 856,101,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,101,736) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(856,101,736) x common factors =1 x 8 = 8

LCM(856,101,736) = ( 856 × 101 × 736 ) / 8

LCM(856,101,736) = 63631616 / 8

LCM(856,101,736) = 7953952

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/856, 66/101, 547/736

1. What is the HCF of 15,66,547?

The HCF of 15,66,547 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 15/856, 66/101, 547/736?

Answer: GCF of Numerators as per given numbers 15/856, 66/101, 547/736 is

GCF of Numerators i.e. for 15,66,547 is 1

LCM of denominators i.e. for 856,101,736 is 7953952.

Thus, GCF of Fractions is 1/7953952.Finally, GCF of Fractions for 15/856, 66/101, 547/736 is 1/7953952.