How to Find GCF of 7033/355, 7150/6239?

GCF of 7033/355, 7150/6239

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 7033/355, 7150/6239 i.e 13/2214845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7033/355, 7150/6239.

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 7033/355,7150/6239?

Given fractions are 7033/355,7150/6239

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 7033/355,7150/6239, numerators are 7033,7150

Denominators are 355,6239

The GCF of 7033,7150 is 13 .

LCM of 355,6239 is 2214845.

The greatest common factor of 7033/355,7150/6239 = [GCF of 7033,7150]/[LCM of 355,6239]= 13/2214845

Therefore, the GCF of 7033/355,7150/6239 is 13/2214845.

Greatest Common Factor of 7033,7150

To find the highest common factor of 7033,7150, we have to find the factors of both numbers and list the highest common factor.

The factors of 7033 are 1, 13, 541, 7033

The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150

The HCF of 7033,7150 is 13.

Lets's calculate GCF of 7033,7150

Greatest Common Factor (GCF) of 7033,7150 By Common Division

13	7033, 7150
	541, 550

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7033,7150 By Matching Biggest Common Factor Method

Now, list down the factors of 7033

1,13,541,7033

Now, list down the factors of 7150

1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150

Greatest Common Factor

We found the factors 7033,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 7033,7150 is 13.

Lets's calculate LCM of 355,6239

Lowest Common Multiple of 355,6239 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2214845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2214845

Therefore, the GCF of Fractions 7033/355,7150/6239 is 13/2214845

Least Common Multiple of 355,6239 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 355,6239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,6239) = 1

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

GCF(355,6239) x common factors =1 x 1 = 1

LCM(355,6239) = ( 355 × 6239 ) / 1

LCM(355,6239) = 2214845 / 1

LCM(355,6239) = 2214845

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7033/355, 7150/6239

1. What is the HCF of 7033,7150?

The HCF of 7033,7150 is 13

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 7033/355, 7150/6239?

Answer: GCF of Numerators as per given numbers 7033/355, 7150/6239 is

GCF of Numerators i.e. for 7033,7150 is 13

LCM of denominators i.e. for 355,6239 is 2214845.

Thus, GCF of Fractions is 13/2214845.Finally, GCF of Fractions for 7033/355, 7150/6239 is 13/2214845.