GCF of 17/731, 95/412, 120/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/731, 95/412, 120/721 i.e 1/2108204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/731, 95/412, 120/721.
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 17/731,95/412,120/721?
Given fractions are 17/731,95/412,120/721
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 17/731,95/412,120/721, numerators are 17,95,120
Denominators are 731,412,721
The GCF of 17,95,120 is 1 .
LCM of 731,412,721 is 2108204.
The greatest common factor of 17/731,95/412,120/721 = [GCF of 17,95,120]/[LCM of 731,412,721]= 1/2108204
Therefore, the GCF of 17/731,95/412,120/721 is 1/2108204.
To find the highest common factor of 17,95,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 95 are 1, 5, 19, 95
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 17,95,120 is 1.
Lets's calculate GCF of 17,95,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,95,120 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 17,95,120 . The biggest common factor number is the GCF number.
So the greatest common factor 17,95,120 is 1.
Lets's calculate LCM of 731,412,721
| 103 | 731, 412, 721 |
| 731, 4, 7 |
∴ So the LCM of the given numbers is 103 x 731 x 4 x 7 = 2108204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2108204
Therefore, the GCF of Fractions 17/731,95/412,120/721 is 1/2108204
Least Common Multiple of 731,412,721 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 731,412,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,412,721) = 1
common factors(in case of two or more numbers have common factors) = 103
GCF(731,412,721) x common factors =1 x 103 = 103
LCM(731,412,721) = ( 731 × 412 × 721 ) / 103
LCM(731,412,721) = 217145012 / 103
LCM(731,412,721) = 2108204
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FAQs on GCF of Fractions of 17/731, 95/412, 120/721
1. What is the HCF of 17,95,120?
The HCF of 17,95,120 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 17/731, 95/412, 120/721?
Answer: GCF of Numerators as per given numbers 17/731, 95/412, 120/721 is
GCF of Numerators i.e. for 17,95,120 is 1
LCM of denominators i.e. for 731,412,721 is 2108204.
Thus, GCF of Fractions is 1/2108204.Finally, GCF of Fractions for 17/731, 95/412, 120/721 is 1/2108204.