GCF of 500/98, 119/26, 586/16
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 500/98, 119/26, 586/16 i.e 1/10192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/98, 119/26, 586/16.
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 500/98,119/26,586/16?
Given fractions are 500/98,119/26,586/16
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 500/98,119/26,586/16, numerators are 500,119,586
Denominators are 98,26,16
The GCF of 500,119,586 is 1 .
LCM of 98,26,16 is 10192.
The greatest common factor of 500/98,119/26,586/16 = [GCF of 500,119,586]/[LCM of 98,26,16]= 1/10192
Therefore, the GCF of 500/98,119/26,586/16 is 1/10192.
To find the highest common factor of 500,119,586, we have to find the factors of both numbers and list the highest common factor.
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The factors of 119 are 1, 7, 17, 119
The factors of 586 are 1, 2, 293, 586
The HCF of 500,119,586 is 1.
Lets's calculate GCF of 500,119,586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 500,119,586 By Matching Biggest Common Factor Method
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Now, list down the factors of 119
:1,7,17,119
Now, list down the factors of 586
:1,2,293,586
Greatest Common Factor
We found the factors 500,119,586 . The biggest common factor number is the GCF number.
So the greatest common factor 500,119,586 is 1.
Lets's calculate LCM of 98,26,16
| 2 | 98, 26, 16 |
| 49, 13, 8 |
∴ So the LCM of the given numbers is 2 x 49 x 13 x 8 = 10192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10192
Therefore, the GCF of Fractions 500/98,119/26,586/16 is 1/10192
Least Common Multiple of 98,26,16 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 98,26,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,26,16) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,26,16) x common factors =2 x 2 = 4
LCM(98,26,16) = ( 98 × 26 × 16 ) / 4
LCM(98,26,16) = 40768 / 4
LCM(98,26,16) = 10192
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 500/98, 119/26, 586/16
1. What is the HCF of 500,119,586?
The HCF of 500,119,586 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 500/98, 119/26, 586/16?
Answer: GCF of Numerators as per given numbers 500/98, 119/26, 586/16 is
GCF of Numerators i.e. for 500,119,586 is 1
LCM of denominators i.e. for 98,26,16 is 10192.
Thus, GCF of Fractions is 1/10192.Finally, GCF of Fractions for 500/98, 119/26, 586/16 is 1/10192.