GCF of 15/706, 68/483, 938/353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 15/706, 68/483, 938/353 i.e 1/340998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/706, 68/483, 938/353.
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 15/706,68/483,938/353?
Given fractions are 15/706,68/483,938/353
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 15/706,68/483,938/353, numerators are 15,68,938
Denominators are 706,483,353
The GCF of 15,68,938 is 1 .
LCM of 706,483,353 is 340998.
The greatest common factor of 15/706,68/483,938/353 = [GCF of 15,68,938]/[LCM of 706,483,353]= 1/340998
Therefore, the GCF of 15/706,68/483,938/353 is 1/340998.
To find the highest common factor of 15,68,938, 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 68 are 1, 2, 4, 17, 34, 68
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 15,68,938 is 1.
Lets's calculate GCF of 15,68,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 15,68,938 By Matching Biggest Common Factor Method
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 15,68,938 . The biggest common factor number is the GCF number.
So the greatest common factor 15,68,938 is 1.
Lets's calculate LCM of 706,483,353
| 353 | 706, 483, 353 |
| 2, 483, 1 |
∴ So the LCM of the given numbers is 353 x 2 x 483 x 1 = 340998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340998
Therefore, the GCF of Fractions 15/706,68/483,938/353 is 1/340998
Least Common Multiple of 706,483,353 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 706,483,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,483,353) = 1
common factors(in case of two or more numbers have common factors) = 353
GCF(706,483,353) x common factors =1 x 353 = 353
LCM(706,483,353) = ( 706 × 483 × 353 ) / 353
LCM(706,483,353) = 120372294 / 353
LCM(706,483,353) = 340998
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FAQs on GCF of Fractions of 15/706, 68/483, 938/353
1. What is the HCF of 15,68,938?
The HCF of 15,68,938 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 15/706, 68/483, 938/353?
Answer: GCF of Numerators as per given numbers 15/706, 68/483, 938/353 is
GCF of Numerators i.e. for 15,68,938 is 1
LCM of denominators i.e. for 706,483,353 is 340998.
Thus, GCF of Fractions is 1/340998.Finally, GCF of Fractions for 15/706, 68/483, 938/353 is 1/340998.