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GCF of 7290/715, 5519/1969

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 7290/715, 5519/1969 i.e 1/127985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7290/715, 5519/1969.

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 7290/715,5519/1969?

Given fractions are 7290/715,5519/1969

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 7290/715,5519/1969, numerators are 7290,5519

Denominators are 715,1969

The GCF of 7290,5519 is 1 .

LCM of 715,1969 is 127985.

The greatest common factor of 7290/715,5519/1969 = [GCF of 7290,5519]/[LCM of 715,1969]= 1/127985

Therefore, the GCF of 7290/715,5519/1969 is 1/127985.

Greatest Common Factor of 7290,5519

To find the highest common factor of 7290,5519, we have to find the factors of both numbers and list the highest common factor.

The factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290

The factors of 5519 are 1, 5519

The HCF of 7290,5519 is 1.

Lets's calculate GCF of 7290,5519

Greatest Common Factor (GCF) of 7290,5519 By Common Division

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

Greatest Common Factor of 7290,5519 By Matching Biggest Common Factor Method

Greatest Common Factor of 7290,5519 By Matching Biggest Common Factor Method

Now, list down the factors of 7290

:

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Now, list down the factors of 5519

:

1,5519

Greatest Common Factor

We found the factors 7290,5519 . The biggest common factor number is the GCF number.
So the greatest common factor 7290,5519 is 1.


Lets's calculate LCM of 715,1969

Lowest Common Multiple of 715,1969 using Common Division

11 715, 1969
65, 179

∴ So the LCM of the given numbers is 11 x 65 x 179 = 127985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127985

Therefore, the GCF of Fractions 7290/715,5519/1969 is 1/127985

Least Common Multiple of 715,1969 with GCF Formula

Least Common Multiple of 715,1969 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 715,1969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,1969) = 11

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

GCF(715,1969) x common factors =11 x 1 = 11

LCM(715,1969) = ( 715 × 1969 ) / 11

LCM(715,1969) = 1407835 / 11

LCM(715,1969) = 127985


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7290/715, 5519/1969

1. What is the HCF of 7290,5519?

The HCF of 7290,5519 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 7290/715, 5519/1969?

Answer: GCF of Numerators as per given numbers 7290/715, 5519/1969 is

GCF of Numerators i.e. for 7290,5519 is 1

LCM of denominators i.e. for 715,1969 is 127985.

Thus, GCF of Fractions is 1/127985.Finally, GCF of Fractions for 7290/715, 5519/1969 is 1/127985.