How to Find GCF of 4298/791, 1604/622?

GCF of 4298/791, 1604/622

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 4298/791, 1604/622 i.e 2/492002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4298/791, 1604/622.

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 4298/791,1604/622?

Given fractions are 4298/791,1604/622

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 4298/791,1604/622, numerators are 4298,1604

Denominators are 791,622

The GCF of 4298,1604 is 2 .

LCM of 791,622 is 492002.

The greatest common factor of 4298/791,1604/622 = [GCF of 4298,1604]/[LCM of 791,622]= 2/492002

Therefore, the GCF of 4298/791,1604/622 is 2/492002.

Greatest Common Factor of 4298,1604

To find the highest common factor of 4298,1604, we have to find the factors of both numbers and list the highest common factor.

The factors of 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298

The factors of 1604 are 1, 2, 4, 401, 802, 1604

The HCF of 4298,1604 is 2.

Lets's calculate GCF of 4298,1604

Greatest Common Factor (GCF) of 4298,1604 By Common Division

2	4298, 1604
	2149, 802

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

Greatest Common Factor of 4298,1604 By Matching Biggest Common Factor Method

Now, list down the factors of 4298

1,2,7,14,307,614,2149,4298

Now, list down the factors of 1604

1,2,4,401,802,1604

Greatest Common Factor

We found the factors 4298,1604 . The biggest common factor number is the GCF number.
So the greatest common factor 4298,1604 is 2.

Lets's calculate LCM of 791,622

Lowest Common Multiple of 791,622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 492002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/492002

Therefore, the GCF of Fractions 4298/791,1604/622 is 2/492002

Least Common Multiple of 791,622 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 791,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,622) = 1

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

GCF(791,622) x common factors =1 x 1 = 1

LCM(791,622) = ( 791 × 622 ) / 1

LCM(791,622) = 492002 / 1

LCM(791,622) = 492002

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FAQs on GCF of Fractions of 4298/791, 1604/622

1. What is the HCF of 4298,1604?

The HCF of 4298,1604 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 4298/791, 1604/622?

Answer: GCF of Numerators as per given numbers 4298/791, 1604/622 is

GCF of Numerators i.e. for 4298,1604 is 2

LCM of denominators i.e. for 791,622 is 492002.

Thus, GCF of Fractions is 2/492002.Finally, GCF of Fractions for 4298/791, 1604/622 is 2/492002.