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GCF of 7195/270, 2066/7226

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 7195/270, 2066/7226 i.e 1/975510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7195/270, 2066/7226.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7195/270,2066/7226?

Given fractions are 7195/270,2066/7226

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 7195/270,2066/7226, numerators are 7195,2066

Denominators are 270,7226

The GCF of 7195,2066 is 1 .

LCM of 270,7226 is 975510.

The greatest common factor of 7195/270,2066/7226 = [GCF of 7195,2066]/[LCM of 270,7226]= 1/975510

Therefore, the GCF of 7195/270,2066/7226 is 1/975510.

Greatest Common Factor of 7195,2066

To find the highest common factor of 7195,2066, we have to find the factors of both numbers and list the highest common factor.

The factors of 7195 are 1, 5, 1439, 7195

The factors of 2066 are 1, 2, 1033, 2066

The HCF of 7195,2066 is 1.

Lets's calculate GCF of 7195,2066

Greatest Common Factor (GCF) of 7195,2066 By Common Division

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

Greatest Common Factor of 7195,2066 By Matching Biggest Common Factor Method

Greatest Common Factor of 7195,2066 By Matching Biggest Common Factor Method

Now, list down the factors of 7195

:

1,5,1439,7195

Now, list down the factors of 2066

:

1,2,1033,2066

Greatest Common Factor

We found the factors 7195,2066 . The biggest common factor number is the GCF number.
So the greatest common factor 7195,2066 is 1.

Lets's calculate LCM of 270,7226

Lowest Common Multiple of 270,7226 using Common Division

2 270, 7226
135, 3613

∴ So the LCM of the given numbers is 2 x 135 x 3613 = 975510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975510

Therefore, the GCF of Fractions 7195/270,2066/7226 is 1/975510

Least Common Multiple of 270,7226 with GCF Formula

Least Common Multiple of 270,7226 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 270,7226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,7226) = 2

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

GCF(270,7226) x common factors =2 x 1 = 2

LCM(270,7226) = ( 270 × 7226 ) / 2

LCM(270,7226) = 1951020 / 2

LCM(270,7226) = 975510


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7195/270, 2066/7226

1. What is the HCF of 7195,2066?

The HCF of 7195,2066 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 7195/270, 2066/7226?

Answer: GCF of Numerators as per given numbers 7195/270, 2066/7226 is

GCF of Numerators i.e. for 7195,2066 is 1

LCM of denominators i.e. for 270,7226 is 975510.

Thus, GCF of Fractions is 1/975510.Finally, GCF of Fractions for 7195/270, 2066/7226 is 1/975510.