GCF of 34/87, 68/15, 237/997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/87, 68/15, 237/997 i.e 1/433695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/87, 68/15, 237/997.
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 34/87,68/15,237/997?
Given fractions are 34/87,68/15,237/997
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 34/87,68/15,237/997, numerators are 34,68,237
Denominators are 87,15,997
The GCF of 34,68,237 is 1 .
LCM of 87,15,997 is 433695.
The greatest common factor of 34/87,68/15,237/997 = [GCF of 34,68,237]/[LCM of 87,15,997]= 1/433695
Therefore, the GCF of 34/87,68/15,237/997 is 1/433695.
To find the highest common factor of 34,68,237, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 237 are 1, 3, 79, 237
The HCF of 34,68,237 is 1.
Lets's calculate GCF of 34,68,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,68,237 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 237
:1,3,79,237
Greatest Common Factor
We found the factors 34,68,237 . The biggest common factor number is the GCF number.
So the greatest common factor 34,68,237 is 1.
Lets's calculate LCM of 87,15,997
| 3 | 87, 15, 997 |
| 29, 5, 997 |
∴ So the LCM of the given numbers is 3 x 29 x 5 x 997 = 433695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433695
Therefore, the GCF of Fractions 34/87,68/15,237/997 is 1/433695
Least Common Multiple of 87,15,997 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 87,15,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,15,997) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,15,997) x common factors =1 x 3 = 3
LCM(87,15,997) = ( 87 × 15 × 997 ) / 3
LCM(87,15,997) = 1301085 / 3
LCM(87,15,997) = 433695
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 34/87, 68/15, 237/997
1. What is the HCF of 34,68,237?
The HCF of 34,68,237 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 34/87, 68/15, 237/997?
Answer: GCF of Numerators as per given numbers 34/87, 68/15, 237/997 is
GCF of Numerators i.e. for 34,68,237 is 1
LCM of denominators i.e. for 87,15,997 is 433695.
Thus, GCF of Fractions is 1/433695.Finally, GCF of Fractions for 34/87, 68/15, 237/997 is 1/433695.