How to Find GCF of 1060/172, 4414/5845?

GCF of 1060/172, 4414/5845

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 1060/172, 4414/5845 i.e 2/1005340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1060/172, 4414/5845.

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 1060/172,4414/5845?

Given fractions are 1060/172,4414/5845

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 1060/172,4414/5845, numerators are 1060,4414

Denominators are 172,5845

The GCF of 1060,4414 is 2 .

LCM of 172,5845 is 1005340.

The greatest common factor of 1060/172,4414/5845 = [GCF of 1060,4414]/[LCM of 172,5845]= 2/1005340

Therefore, the GCF of 1060/172,4414/5845 is 2/1005340.

Greatest Common Factor of 1060,4414

To find the highest common factor of 1060,4414, we have to find the factors of both numbers and list the highest common factor.

The factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060

The factors of 4414 are 1, 2, 2207, 4414

The HCF of 1060,4414 is 2.

Lets's calculate GCF of 1060,4414

Greatest Common Factor (GCF) of 1060,4414 By Common Division

2	1060, 4414
	530, 2207

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

Greatest Common Factor of 1060,4414 By Matching Biggest Common Factor Method

Now, list down the factors of 1060

1,2,4,5,10,20,53,106,212,265,530,1060

Now, list down the factors of 4414

1,2,2207,4414

Greatest Common Factor

We found the factors 1060,4414 . The biggest common factor number is the GCF number.
So the greatest common factor 1060,4414 is 2.

Lets's calculate LCM of 172,5845

Lowest Common Multiple of 172,5845 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1005340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1005340

Therefore, the GCF of Fractions 1060/172,4414/5845 is 2/1005340

Least Common Multiple of 172,5845 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 172,5845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,5845) = 1

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

GCF(172,5845) x common factors =1 x 1 = 1

LCM(172,5845) = ( 172 × 5845 ) / 1

LCM(172,5845) = 1005340 / 1

LCM(172,5845) = 1005340

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1060/172, 4414/5845

1. What is the HCF of 1060,4414?

The HCF of 1060,4414 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 1060/172, 4414/5845?

Answer: GCF of Numerators as per given numbers 1060/172, 4414/5845 is

GCF of Numerators i.e. for 1060,4414 is 2

LCM of denominators i.e. for 172,5845 is 1005340.

Thus, GCF of Fractions is 2/1005340.Finally, GCF of Fractions for 1060/172, 4414/5845 is 2/1005340.