GCF of 34/18, 85/75, 963/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/18, 85/75, 963/506 i.e 1/113850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/18, 85/75, 963/506.
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 34/18,85/75,963/506?
Given fractions are 34/18,85/75,963/506
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 34/18,85/75,963/506, numerators are 34,85,963
Denominators are 18,75,506
The GCF of 34,85,963 is 1 .
LCM of 18,75,506 is 113850.
The greatest common factor of 34/18,85/75,963/506 = [GCF of 34,85,963]/[LCM of 18,75,506]= 1/113850
Therefore, the GCF of 34/18,85/75,963/506 is 1/113850.
To find the highest common factor of 34,85,963, 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 85 are 1, 5, 17, 85
The factors of 963 are 1, 3, 9, 107, 321, 963
The HCF of 34,85,963 is 1.
Lets's calculate GCF of 34,85,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,85,963 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 963
:1,3,9,107,321,963
Greatest Common Factor
We found the factors 34,85,963 . The biggest common factor number is the GCF number.
So the greatest common factor 34,85,963 is 1.
Lets's calculate LCM of 18,75,506
| 2 | 18, 75, 506 |
| 3 | 9, 75, 253 |
| 3, 25, 253 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 253 = 113850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113850
Therefore, the GCF of Fractions 34/18,85/75,963/506 is 1/113850
Least Common Multiple of 18,75,506 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 18,75,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,75,506) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(18,75,506) x common factors =1 x 6 = 6
LCM(18,75,506) = ( 18 × 75 × 506 ) / 6
LCM(18,75,506) = 683100 / 6
LCM(18,75,506) = 113850
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FAQs on GCF of Fractions of 34/18, 85/75, 963/506
1. What is the HCF of 34,85,963?
The HCF of 34,85,963 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 34/18, 85/75, 963/506?
Answer: GCF of Numerators as per given numbers 34/18, 85/75, 963/506 is
GCF of Numerators i.e. for 34,85,963 is 1
LCM of denominators i.e. for 18,75,506 is 113850.
Thus, GCF of Fractions is 1/113850.Finally, GCF of Fractions for 34/18, 85/75, 963/506 is 1/113850.