How to Find GCF of 4294/899, 8720/8679?

GCF of 4294/899, 8720/8679

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 4294/899, 8720/8679 i.e 2/7802421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4294/899, 8720/8679.

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 4294/899,8720/8679?

Given fractions are 4294/899,8720/8679

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 4294/899,8720/8679, numerators are 4294,8720

Denominators are 899,8679

The GCF of 4294,8720 is 2 .

LCM of 899,8679 is 7802421.

The greatest common factor of 4294/899,8720/8679 = [GCF of 4294,8720]/[LCM of 899,8679]= 2/7802421

Therefore, the GCF of 4294/899,8720/8679 is 2/7802421.

Greatest Common Factor of 4294,8720

To find the highest common factor of 4294,8720, we have to find the factors of both numbers and list the highest common factor.

The factors of 4294 are 1, 2, 19, 38, 113, 226, 2147, 4294

The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720

The HCF of 4294,8720 is 2.

Lets's calculate GCF of 4294,8720

Greatest Common Factor (GCF) of 4294,8720 By Common Division

2	4294, 8720
	2147, 4360

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

Greatest Common Factor of 4294,8720 By Matching Biggest Common Factor Method

Now, list down the factors of 4294

1,2,19,38,113,226,2147,4294

Now, list down the factors of 8720

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Greatest Common Factor

We found the factors 4294,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 4294,8720 is 2.

Lets's calculate LCM of 899,8679

Lowest Common Multiple of 899,8679 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7802421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7802421

Therefore, the GCF of Fractions 4294/899,8720/8679 is 2/7802421

Least Common Multiple of 899,8679 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 899,8679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,8679) = 1

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

GCF(899,8679) x common factors =1 x 1 = 1

LCM(899,8679) = ( 899 × 8679 ) / 1

LCM(899,8679) = 7802421 / 1

LCM(899,8679) = 7802421

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4294/899, 8720/8679

1. What is the HCF of 4294,8720?

The HCF of 4294,8720 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 4294/899, 8720/8679?

Answer: GCF of Numerators as per given numbers 4294/899, 8720/8679 is

GCF of Numerators i.e. for 4294,8720 is 2

LCM of denominators i.e. for 899,8679 is 7802421.

Thus, GCF of Fractions is 2/7802421.Finally, GCF of Fractions for 4294/899, 8720/8679 is 2/7802421.