GCF of 914/419, 510/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 914/419, 510/506 i.e 2/212014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 914/419, 510/506.
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 914/419,510/506?
Given fractions are 914/419,510/506
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 914/419,510/506, numerators are 914,510
Denominators are 419,506
The GCF of 914,510 is 2 .
LCM of 419,506 is 212014.
The greatest common factor of 914/419,510/506 = [GCF of 914,510]/[LCM of 419,506]= 2/212014
Therefore, the GCF of 914/419,510/506 is 2/212014.
To find the highest common factor of 914,510, we have to find the factors of both numbers and list the highest common factor.
The factors of 914 are 1, 2, 457, 914
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 914,510 is 2.
Lets's calculate GCF of 914,510
| 2 | 914, 510 |
| 457, 255 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 914,510 By Matching Biggest Common Factor Method
Now, list down the factors of 914
:1,2,457,914
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 914,510 . The biggest common factor number is the GCF number.
So the greatest common factor 914,510 is 2.
Lets's calculate LCM of 419,506
Given numbers has no common factors except 1. So, there LCM is their product i.e 212014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212014
Therefore, the GCF of Fractions 914/419,510/506 is 2/212014
Least Common Multiple of 419,506 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 419,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,506) x common factors =1 x 1 = 1
LCM(419,506) = ( 419 × 506 ) / 1
LCM(419,506) = 212014 / 1
LCM(419,506) = 212014
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FAQs on GCF of Fractions of 914/419, 510/506
1. What is the HCF of 914,510?
The HCF of 914,510 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 914/419, 510/506?
Answer: GCF of Numerators as per given numbers 914/419, 510/506 is
GCF of Numerators i.e. for 914,510 is 2
LCM of denominators i.e. for 419,506 is 212014.
Thus, GCF of Fractions is 2/212014.Finally, GCF of Fractions for 914/419, 510/506 is 2/212014.