How to Find GCF of 4180/809, 4916/929?

GCF of 4180/809, 4916/929

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 4180/809, 4916/929 i.e 4/751561 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4180/809, 4916/929.

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 4180/809,4916/929?

Given fractions are 4180/809,4916/929

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 4180/809,4916/929, numerators are 4180,4916

Denominators are 809,929

The GCF of 4180,4916 is 4 .

LCM of 809,929 is 751561.

The greatest common factor of 4180/809,4916/929 = [GCF of 4180,4916]/[LCM of 809,929]= 4/751561

Therefore, the GCF of 4180/809,4916/929 is 4/751561.

Greatest Common Factor of 4180,4916

To find the highest common factor of 4180,4916, we have to find the factors of both numbers and list the highest common factor.

The factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180

The factors of 4916 are 1, 2, 4, 1229, 2458, 4916

The HCF of 4180,4916 is 4.

Lets's calculate GCF of 4180,4916

Greatest Common Factor (GCF) of 4180,4916 By Common Division

2	4180, 4916
2	2090, 2458
	1045, 1229

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4180,4916 By Matching Biggest Common Factor Method

Now, list down the factors of 4180

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Now, list down the factors of 4916

1,2,4,1229,2458,4916

Greatest Common Factor

We found the factors 4180,4916 . The biggest common factor number is the GCF number.
So the greatest common factor 4180,4916 is 4.

Lets's calculate LCM of 809,929

Lowest Common Multiple of 809,929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 751561

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/751561

Therefore, the GCF of Fractions 4180/809,4916/929 is 4/751561

Least Common Multiple of 809,929 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 809,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,929) = 1

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

GCF(809,929) x common factors =1 x 1 = 1

LCM(809,929) = ( 809 × 929 ) / 1

LCM(809,929) = 751561 / 1

LCM(809,929) = 751561

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FAQs on GCF of Fractions of 4180/809, 4916/929

1. What is the HCF of 4180,4916?

The HCF of 4180,4916 is 4

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 4180/809, 4916/929?

Answer: GCF of Numerators as per given numbers 4180/809, 4916/929 is

GCF of Numerators i.e. for 4180,4916 is 4

LCM of denominators i.e. for 809,929 is 751561.

Thus, GCF of Fractions is 4/751561.Finally, GCF of Fractions for 4180/809, 4916/929 is 4/751561.