How to Find GCF of 2610/270, 9455/1403?

GCF of 2610/270, 9455/1403

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 2610/270, 9455/1403 i.e 5/378810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2610/270, 9455/1403.

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 2610/270,9455/1403?

Given fractions are 2610/270,9455/1403

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 2610/270,9455/1403, numerators are 2610,9455

Denominators are 270,1403

The GCF of 2610,9455 is 5 .

LCM of 270,1403 is 378810.

The greatest common factor of 2610/270,9455/1403 = [GCF of 2610,9455]/[LCM of 270,1403]= 5/378810

Therefore, the GCF of 2610/270,9455/1403 is 5/378810.

Greatest Common Factor of 2610,9455

To find the highest common factor of 2610,9455, we have to find the factors of both numbers and list the highest common factor.

The factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610

The factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455

The HCF of 2610,9455 is 5.

Lets's calculate GCF of 2610,9455

Greatest Common Factor (GCF) of 2610,9455 By Common Division

5	2610, 9455
	522, 1891

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2610,9455 By Matching Biggest Common Factor Method

Now, list down the factors of 2610

1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610

Now, list down the factors of 9455

1,5,31,61,155,305,1891,9455

Greatest Common Factor

We found the factors 2610,9455 . The biggest common factor number is the GCF number.
So the greatest common factor 2610,9455 is 5.

Lets's calculate LCM of 270,1403

Lowest Common Multiple of 270,1403 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 378810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/378810

Therefore, the GCF of Fractions 2610/270,9455/1403 is 5/378810

Least Common Multiple of 270,1403 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 270,1403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,1403) = 1

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

GCF(270,1403) x common factors =1 x 1 = 1

LCM(270,1403) = ( 270 × 1403 ) / 1

LCM(270,1403) = 378810 / 1

LCM(270,1403) = 378810

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FAQs on GCF of Fractions of 2610/270, 9455/1403

1. What is the HCF of 2610,9455?

The HCF of 2610,9455 is 5

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 2610/270, 9455/1403?

Answer: GCF of Numerators as per given numbers 2610/270, 9455/1403 is

GCF of Numerators i.e. for 2610,9455 is 5

LCM of denominators i.e. for 270,1403 is 378810.

Thus, GCF of Fractions is 5/378810.Finally, GCF of Fractions for 2610/270, 9455/1403 is 5/378810.