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GCF of 15/722, 40/7205

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 15/722, 40/7205 i.e 5/5202010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/722, 40/7205.

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 15/722,40/7205?

Given fractions are 15/722,40/7205

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 15/722,40/7205, numerators are 15,40

Denominators are 722,7205

The GCF of 15,40 is 5 .

LCM of 722,7205 is 5202010.

The greatest common factor of 15/722,40/7205 = [GCF of 15,40]/[LCM of 722,7205]= 5/5202010

Therefore, the GCF of 15/722,40/7205 is 5/5202010.

Greatest Common Factor of 15,40

To find the highest common factor of 15,40, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The HCF of 15,40 is 5.

Lets's calculate GCF of 15,40

Greatest Common Factor (GCF) of 15,40 By Common Division

5 15, 40
3, 8

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

Greatest Common Factor of 15,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,40 By Matching Biggest Common Factor Method

Now, list down the factors of 15

:

1,3,5,15

Now, list down the factors of 40

:

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 15,40 . The biggest common factor number is the GCF number.
So the greatest common factor 15,40 is 5.

Lets's calculate LCM of 722,7205

Lowest Common Multiple of 722,7205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5202010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5202010

Therefore, the GCF of Fractions 15/722,40/7205 is 5/5202010

Least Common Multiple of 722,7205 with GCF Formula

Least Common Multiple of 722,7205 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 722,7205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,7205) = 1

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

GCF(722,7205) x common factors =1 x 1 = 1

LCM(722,7205) = ( 722 × 7205 ) / 1

LCM(722,7205) = 5202010 / 1

LCM(722,7205) = 5202010


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FAQs on GCF of Fractions of 15/722, 40/7205

1. What is the HCF of 15,40?

The HCF of 15,40 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 15/722, 40/7205?

Answer: GCF of Numerators as per given numbers 15/722, 40/7205 is

GCF of Numerators i.e. for 15,40 is 5

LCM of denominators i.e. for 722,7205 is 5202010.

Thus, GCF of Fractions is 5/5202010.Finally, GCF of Fractions for 15/722, 40/7205 is 5/5202010.