How to Find GCF of 94/309, 16/706, 120/590?

GCF of 94/309, 16/706, 120/590

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 94/309, 16/706, 120/590 i.e 2/64355430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/309, 16/706, 120/590.

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 94/309,16/706,120/590?

Given fractions are 94/309,16/706,120/590

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 94/309,16/706,120/590, numerators are 94,16,120

Denominators are 309,706,590

The GCF of 94,16,120 is 2 .

LCM of 309,706,590 is 64355430.

The greatest common factor of 94/309,16/706,120/590 = [GCF of 94,16,120]/[LCM of 309,706,590]= 2/64355430

Therefore, the GCF of 94/309,16/706,120/590 is 2/64355430.

Greatest Common Factor of 94,16,120

To find the highest common factor of 94,16,120, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 16 are 1, 2, 4, 8, 16

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The HCF of 94,16,120 is 2.

Lets's calculate GCF of 94,16,120

Greatest Common Factor (GCF) of 94,16,120 By Common Division

2	94, 16, 120
	47, 8, 60

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 94,16,120 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 16

1,2,4,8,16

Now, list down the factors of 120

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 94,16,120 . The biggest common factor number is the GCF number.
So the greatest common factor 94,16,120 is 2.

Lets's calculate LCM of 309,706,590

Lowest Common Multiple of 309,706,590 using Common Division

2	309, 706, 590
	309, 353, 295

∴ So the LCM of the given numbers is 2 x 309 x 353 x 295 = 64355430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64355430

Therefore, the GCF of Fractions 94/309,16/706,120/590 is 2/64355430

Least Common Multiple of 309,706,590 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 309,706,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,706,590) = 1

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

GCF(309,706,590) x common factors =1 x 2 = 2

LCM(309,706,590) = ( 309 × 706 × 590 ) / 2

LCM(309,706,590) = 128710860 / 2

LCM(309,706,590) = 64355430

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 94/309, 16/706, 120/590

1. What is the HCF of 94,16,120?

The HCF of 94,16,120 is 2

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 94/309, 16/706, 120/590?

Answer: GCF of Numerators as per given numbers 94/309, 16/706, 120/590 is

GCF of Numerators i.e. for 94,16,120 is 2

LCM of denominators i.e. for 309,706,590 is 64355430.

Thus, GCF of Fractions is 2/64355430.Finally, GCF of Fractions for 94/309, 16/706, 120/590 is 2/64355430.