GCF of 34/515, 450/296, 946/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/515, 450/296, 946/198 i.e 2/15091560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/515, 450/296, 946/198.
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 34/515,450/296,946/198?
Given fractions are 34/515,450/296,946/198
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 34/515,450/296,946/198, numerators are 34,450,946
Denominators are 515,296,198
The GCF of 34,450,946 is 2 .
LCM of 515,296,198 is 15091560.
The greatest common factor of 34/515,450/296,946/198 = [GCF of 34,450,946]/[LCM of 515,296,198]= 2/15091560
Therefore, the GCF of 34/515,450/296,946/198 is 2/15091560.
To find the highest common factor of 34,450,946, 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 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The HCF of 34,450,946 is 2.
Lets's calculate GCF of 34,450,946
| 2 | 34, 450, 946 |
| 17, 225, 473 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,450,946 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 34,450,946 . The biggest common factor number is the GCF number.
So the greatest common factor 34,450,946 is 2.
Lets's calculate LCM of 515,296,198
| 2 | 515, 296, 198 |
| 515, 148, 99 |
∴ So the LCM of the given numbers is 2 x 515 x 148 x 99 = 15091560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15091560
Therefore, the GCF of Fractions 34/515,450/296,946/198 is 2/15091560
Least Common Multiple of 515,296,198 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 515,296,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,296,198) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(515,296,198) x common factors =1 x 2 = 2
LCM(515,296,198) = ( 515 × 296 × 198 ) / 2
LCM(515,296,198) = 30183120 / 2
LCM(515,296,198) = 15091560
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 34/515, 450/296, 946/198
1. What is the HCF of 34,450,946?
The HCF of 34,450,946 is 2
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 34/515, 450/296, 946/198?
Answer: GCF of Numerators as per given numbers 34/515, 450/296, 946/198 is
GCF of Numerators i.e. for 34,450,946 is 2
LCM of denominators i.e. for 515,296,198 is 15091560.
Thus, GCF of Fractions is 2/15091560.Finally, GCF of Fractions for 34/515, 450/296, 946/198 is 2/15091560.