GCF of 50/65, 98/65, 96/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 50/65, 98/65, 96/31 i.e 2/2015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/65, 98/65, 96/31.
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 50/65,98/65,96/31?
Given fractions are 50/65,98/65,96/31
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 50/65,98/65,96/31, numerators are 50,98,96
Denominators are 65,65,31
The GCF of 50,98,96 is 2 .
LCM of 65,65,31 is 2015.
The greatest common factor of 50/65,98/65,96/31 = [GCF of 50,98,96]/[LCM of 65,65,31]= 2/2015
Therefore, the GCF of 50/65,98/65,96/31 is 2/2015.
To find the highest common factor of 50,98,96, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The HCF of 50,98,96 is 2.
Lets's calculate GCF of 50,98,96
| 2 | 50, 98, 96 |
| 25, 49, 48 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 50,98,96 By Matching Biggest Common Factor Method
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Greatest Common Factor
We found the factors 50,98,96 . The biggest common factor number is the GCF number.
So the greatest common factor 50,98,96 is 2.
Lets's calculate LCM of 65,65,31
| 5 | 65, 65, 31 |
| 13 | 13, 13, 31 |
| 1, 1, 31 |
∴ So the LCM of the given numbers is 5 x 13 x 1 x 1 x 31 = 2015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2015
Therefore, the GCF of Fractions 50/65,98/65,96/31 is 2/2015
Least Common Multiple of 65,65,31 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 65,65,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,65,31) = 1
common factors(in case of two or more numbers have common factors) = 65
GCF(65,65,31) x common factors =1 x 65 = 65
LCM(65,65,31) = ( 65 × 65 × 31 ) / 65
LCM(65,65,31) = 130975 / 65
LCM(65,65,31) = 2015
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FAQs on GCF of Fractions of 50/65, 98/65, 96/31
1. What is the HCF of 50,98,96?
The HCF of 50,98,96 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 50/65, 98/65, 96/31?
Answer: GCF of Numerators as per given numbers 50/65, 98/65, 96/31 is
GCF of Numerators i.e. for 50,98,96 is 2
LCM of denominators i.e. for 65,65,31 is 2015.
Thus, GCF of Fractions is 2/2015.Finally, GCF of Fractions for 50/65, 98/65, 96/31 is 2/2015.