How to Find GCF of 4730/455, 8394/8577?

GCF of 4730/455, 8394/8577

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 4730/455, 8394/8577 i.e 2/3902535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4730/455, 8394/8577.

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 4730/455,8394/8577?

Given fractions are 4730/455,8394/8577

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 4730/455,8394/8577, numerators are 4730,8394

Denominators are 455,8577

The GCF of 4730,8394 is 2 .

LCM of 455,8577 is 3902535.

The greatest common factor of 4730/455,8394/8577 = [GCF of 4730,8394]/[LCM of 455,8577]= 2/3902535

Therefore, the GCF of 4730/455,8394/8577 is 2/3902535.

Greatest Common Factor of 4730,8394

To find the highest common factor of 4730,8394, we have to find the factors of both numbers and list the highest common factor.

The factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730

The factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394

The HCF of 4730,8394 is 2.

Lets's calculate GCF of 4730,8394

Greatest Common Factor (GCF) of 4730,8394 By Common Division

2	4730, 8394
	2365, 4197

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

Greatest Common Factor of 4730,8394 By Matching Biggest Common Factor Method

Now, list down the factors of 4730

1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730

Now, list down the factors of 8394

1,2,3,6,1399,2798,4197,8394

Greatest Common Factor

We found the factors 4730,8394 . The biggest common factor number is the GCF number.
So the greatest common factor 4730,8394 is 2.

Lets's calculate LCM of 455,8577

Lowest Common Multiple of 455,8577 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3902535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3902535

Therefore, the GCF of Fractions 4730/455,8394/8577 is 2/3902535

Least Common Multiple of 455,8577 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 455,8577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,8577) = 1

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

GCF(455,8577) x common factors =1 x 1 = 1

LCM(455,8577) = ( 455 × 8577 ) / 1

LCM(455,8577) = 3902535 / 1

LCM(455,8577) = 3902535

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FAQs on GCF of Fractions of 4730/455, 8394/8577

1. What is the HCF of 4730,8394?

The HCF of 4730,8394 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 4730/455, 8394/8577?

Answer: GCF of Numerators as per given numbers 4730/455, 8394/8577 is

GCF of Numerators i.e. for 4730,8394 is 2

LCM of denominators i.e. for 455,8577 is 3902535.

Thus, GCF of Fractions is 2/3902535.Finally, GCF of Fractions for 4730/455, 8394/8577 is 2/3902535.