How to Find GCF of 4360/895, 2114/3133?

GCF of 4360/895, 2114/3133

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 4360/895, 2114/3133 i.e 2/2804035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4360/895, 2114/3133.

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 4360/895,2114/3133?

Given fractions are 4360/895,2114/3133

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 4360/895,2114/3133, numerators are 4360,2114

Denominators are 895,3133

The GCF of 4360,2114 is 2 .

LCM of 895,3133 is 2804035.

The greatest common factor of 4360/895,2114/3133 = [GCF of 4360,2114]/[LCM of 895,3133]= 2/2804035

Therefore, the GCF of 4360/895,2114/3133 is 2/2804035.

Greatest Common Factor of 4360,2114

To find the highest common factor of 4360,2114, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114

The HCF of 4360,2114 is 2.

Lets's calculate GCF of 4360,2114

Greatest Common Factor (GCF) of 4360,2114 By Common Division

2	4360, 2114
	2180, 1057

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

Greatest Common Factor of 4360,2114 By Matching Biggest Common Factor Method

Now, list down the factors of 4360

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

Now, list down the factors of 2114

1,2,7,14,151,302,1057,2114

Greatest Common Factor

We found the factors 4360,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 4360,2114 is 2.

Lets's calculate LCM of 895,3133

Lowest Common Multiple of 895,3133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2804035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2804035

Therefore, the GCF of Fractions 4360/895,2114/3133 is 2/2804035

Least Common Multiple of 895,3133 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 895,3133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,3133) = 1

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

GCF(895,3133) x common factors =1 x 1 = 1

LCM(895,3133) = ( 895 × 3133 ) / 1

LCM(895,3133) = 2804035 / 1

LCM(895,3133) = 2804035

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4360/895, 2114/3133

1. What is the HCF of 4360,2114?

The HCF of 4360,2114 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 4360/895, 2114/3133?

Answer: GCF of Numerators as per given numbers 4360/895, 2114/3133 is

GCF of Numerators i.e. for 4360,2114 is 2

LCM of denominators i.e. for 895,3133 is 2804035.

Thus, GCF of Fractions is 2/2804035.Finally, GCF of Fractions for 4360/895, 2114/3133 is 2/2804035.