GCF of 1514/146, 8228/8897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1514/146, 8228/8897 i.e 2/1298962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1514/146, 8228/8897.
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 1514/146,8228/8897?
Given fractions are 1514/146,8228/8897
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 1514/146,8228/8897, numerators are 1514,8228
Denominators are 146,8897
The GCF of 1514,8228 is 2 .
LCM of 146,8897 is 1298962.
The greatest common factor of 1514/146,8228/8897 = [GCF of 1514,8228]/[LCM of 146,8897]= 2/1298962
Therefore, the GCF of 1514/146,8228/8897 is 2/1298962.
To find the highest common factor of 1514,8228, we have to find the factors of both numbers and list the highest common factor.
The factors of 1514 are 1, 2, 757, 1514
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The HCF of 1514,8228 is 2.
Lets's calculate GCF of 1514,8228
| 2 | 1514, 8228 |
| 757, 4114 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1514,8228 By Matching Biggest Common Factor Method
Now, list down the factors of 1514
:1,2,757,1514
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 1514,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 1514,8228 is 2.
Lets's calculate LCM of 146,8897
Given numbers has no common factors except 1. So, there LCM is their product i.e 1298962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1298962
Therefore, the GCF of Fractions 1514/146,8228/8897 is 2/1298962
Least Common Multiple of 146,8897 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 146,8897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,8897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,8897) x common factors =1 x 1 = 1
LCM(146,8897) = ( 146 × 8897 ) / 1
LCM(146,8897) = 1298962 / 1
LCM(146,8897) = 1298962
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FAQs on GCF of Fractions of 1514/146, 8228/8897
1. What is the HCF of 1514,8228?
The HCF of 1514,8228 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 1514/146, 8228/8897?
Answer: GCF of Numerators as per given numbers 1514/146, 8228/8897 is
GCF of Numerators i.e. for 1514,8228 is 2
LCM of denominators i.e. for 146,8897 is 1298962.
Thus, GCF of Fractions is 2/1298962.Finally, GCF of Fractions for 1514/146, 8228/8897 is 2/1298962.