How to Find GCF of 15/94, 683/11, 847/142?

GCF of 15/94, 683/11, 847/142

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 15/94, 683/11, 847/142 i.e 1/73414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/94, 683/11, 847/142.

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 15/94,683/11,847/142?

Given fractions are 15/94,683/11,847/142

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 15/94,683/11,847/142, numerators are 15,683,847

Denominators are 94,11,142

The GCF of 15,683,847 is 1 .

LCM of 94,11,142 is 73414.

The greatest common factor of 15/94,683/11,847/142 = [GCF of 15,683,847]/[LCM of 94,11,142]= 1/73414

Therefore, the GCF of 15/94,683/11,847/142 is 1/73414.

Greatest Common Factor of 15,683,847

To find the highest common factor of 15,683,847, 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 683 are 1, 683

The factors of 847 are 1, 7, 11, 77, 121, 847

The HCF of 15,683,847 is 1.

Lets's calculate GCF of 15,683,847

Greatest Common Factor (GCF) of 15,683,847 By Common Division

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

Greatest Common Factor of 15,683,847 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 683

1,683

Now, list down the factors of 847

1,7,11,77,121,847

Greatest Common Factor

We found the factors 15,683,847 . The biggest common factor number is the GCF number.
So the greatest common factor 15,683,847 is 1.

Lets's calculate LCM of 94,11,142

Lowest Common Multiple of 94,11,142 using Common Division

2	94, 11, 142
	47, 11, 71

∴ So the LCM of the given numbers is 2 x 47 x 11 x 71 = 73414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73414

Therefore, the GCF of Fractions 15/94,683/11,847/142 is 1/73414

Least Common Multiple of 94,11,142 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 94,11,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,11,142) = 1

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

GCF(94,11,142) x common factors =1 x 2 = 2

LCM(94,11,142) = ( 94 × 11 × 142 ) / 2

LCM(94,11,142) = 146828 / 2

LCM(94,11,142) = 73414

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/94, 683/11, 847/142

1. What is the HCF of 15,683,847?

The HCF of 15,683,847 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 15/94, 683/11, 847/142?

Answer: GCF of Numerators as per given numbers 15/94, 683/11, 847/142 is

GCF of Numerators i.e. for 15,683,847 is 1

LCM of denominators i.e. for 94,11,142 is 73414.

Thus, GCF of Fractions is 1/73414.Finally, GCF of Fractions for 15/94, 683/11, 847/142 is 1/73414.