How to Find GCF of 4694/492, 9104/6973?

GCF of 4694/492, 9104/6973

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 4694/492, 9104/6973 i.e 2/3430716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4694/492, 9104/6973.

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 4694/492,9104/6973?

Given fractions are 4694/492,9104/6973

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 4694/492,9104/6973, numerators are 4694,9104

Denominators are 492,6973

The GCF of 4694,9104 is 2 .

LCM of 492,6973 is 3430716.

The greatest common factor of 4694/492,9104/6973 = [GCF of 4694,9104]/[LCM of 492,6973]= 2/3430716

Therefore, the GCF of 4694/492,9104/6973 is 2/3430716.

Greatest Common Factor of 4694,9104

To find the highest common factor of 4694,9104, we have to find the factors of both numbers and list the highest common factor.

The factors of 4694 are 1, 2, 2347, 4694

The factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104

The HCF of 4694,9104 is 2.

Lets's calculate GCF of 4694,9104

Greatest Common Factor (GCF) of 4694,9104 By Common Division

2	4694, 9104
	2347, 4552

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

Greatest Common Factor of 4694,9104 By Matching Biggest Common Factor Method

Now, list down the factors of 4694

1,2,2347,4694

Now, list down the factors of 9104

1,2,4,8,16,569,1138,2276,4552,9104

Greatest Common Factor

We found the factors 4694,9104 . The biggest common factor number is the GCF number.
So the greatest common factor 4694,9104 is 2.

Lets's calculate LCM of 492,6973

Lowest Common Multiple of 492,6973 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3430716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3430716

Therefore, the GCF of Fractions 4694/492,9104/6973 is 2/3430716

Least Common Multiple of 492,6973 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 492,6973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,6973) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(492,6973) x common factors =1 x 1 = 1

LCM(492,6973) = ( 492 × 6973 ) / 1

LCM(492,6973) = 3430716 / 1

LCM(492,6973) = 3430716

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4694/492, 9104/6973

1. What is the HCF of 4694,9104?

The HCF of 4694,9104 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 4694/492, 9104/6973?

Answer: GCF of Numerators as per given numbers 4694/492, 9104/6973 is

GCF of Numerators i.e. for 4694,9104 is 2

LCM of denominators i.e. for 492,6973 is 3430716.

Thus, GCF of Fractions is 2/3430716.Finally, GCF of Fractions for 4694/492, 9104/6973 is 2/3430716.