How to Find GCF of 4133/173, 2800/1440?

GCF of 4133/173, 2800/1440

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 4133/173, 2800/1440 i.e 1/249120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4133/173, 2800/1440.

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 4133/173,2800/1440?

Given fractions are 4133/173,2800/1440

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 4133/173,2800/1440, numerators are 4133,2800

Denominators are 173,1440

The GCF of 4133,2800 is 1 .

LCM of 173,1440 is 249120.

The greatest common factor of 4133/173,2800/1440 = [GCF of 4133,2800]/[LCM of 173,1440]= 1/249120

Therefore, the GCF of 4133/173,2800/1440 is 1/249120.

Greatest Common Factor of 4133,2800

To find the highest common factor of 4133,2800, we have to find the factors of both numbers and list the highest common factor.

The factors of 4133 are 1, 4133

The factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800

The HCF of 4133,2800 is 1.

Lets's calculate GCF of 4133,2800

Greatest Common Factor (GCF) of 4133,2800 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4133,2800 By Matching Biggest Common Factor Method

Now, list down the factors of 4133

1,4133

Now, list down the factors of 2800

1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800

Greatest Common Factor

We found the factors 4133,2800 . The biggest common factor number is the GCF number.
So the greatest common factor 4133,2800 is 1.

Lets's calculate LCM of 173,1440

Lowest Common Multiple of 173,1440 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 249120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249120

Therefore, the GCF of Fractions 4133/173,2800/1440 is 1/249120

Least Common Multiple of 173,1440 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 173,1440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,1440) = 1

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

GCF(173,1440) x common factors =1 x 1 = 1

LCM(173,1440) = ( 173 × 1440 ) / 1

LCM(173,1440) = 249120 / 1

LCM(173,1440) = 249120

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FAQs on GCF of Fractions of 4133/173, 2800/1440

1. What is the HCF of 4133,2800?

The HCF of 4133,2800 is 1

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 4133/173, 2800/1440?

Answer: GCF of Numerators as per given numbers 4133/173, 2800/1440 is

GCF of Numerators i.e. for 4133,2800 is 1

LCM of denominators i.e. for 173,1440 is 249120.

Thus, GCF of Fractions is 1/249120.Finally, GCF of Fractions for 4133/173, 2800/1440 is 1/249120.