GCF of 1966/454, 5015/6090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1966/454, 5015/6090 i.e 1/1382430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1966/454, 5015/6090.
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 1966/454,5015/6090?
Given fractions are 1966/454,5015/6090
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 1966/454,5015/6090, numerators are 1966,5015
Denominators are 454,6090
The GCF of 1966,5015 is 1 .
LCM of 454,6090 is 1382430.
The greatest common factor of 1966/454,5015/6090 = [GCF of 1966,5015]/[LCM of 454,6090]= 1/1382430
Therefore, the GCF of 1966/454,5015/6090 is 1/1382430.
To find the highest common factor of 1966,5015, we have to find the factors of both numbers and list the highest common factor.
The factors of 1966 are 1, 2, 983, 1966
The factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015
The HCF of 1966,5015 is 1.
Lets's calculate GCF of 1966,5015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1966,5015 By Matching Biggest Common Factor Method
Now, list down the factors of 1966
:1,2,983,1966
Now, list down the factors of 5015
:1,5,17,59,85,295,1003,5015
Greatest Common Factor
We found the factors 1966,5015 . The biggest common factor number is the GCF number.
So the greatest common factor 1966,5015 is 1.
Lets's calculate LCM of 454,6090
| 2 | 454, 6090 |
| 227, 3045 |
∴ So the LCM of the given numbers is 2 x 227 x 3045 = 1382430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1382430
Therefore, the GCF of Fractions 1966/454,5015/6090 is 1/1382430
Least Common Multiple of 454,6090 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 454,6090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6090) x common factors =2 x 1 = 2
LCM(454,6090) = ( 454 × 6090 ) / 2
LCM(454,6090) = 2764860 / 2
LCM(454,6090) = 1382430
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FAQs on GCF of Fractions of 1966/454, 5015/6090
1. What is the HCF of 1966,5015?
The HCF of 1966,5015 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 1966/454, 5015/6090?
Answer: GCF of Numerators as per given numbers 1966/454, 5015/6090 is
GCF of Numerators i.e. for 1966,5015 is 1
LCM of denominators i.e. for 454,6090 is 1382430.
Thus, GCF of Fractions is 1/1382430.Finally, GCF of Fractions for 1966/454, 5015/6090 is 1/1382430.