GCF of 96/77, 50/12, 86/98, 20/813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/77, 50/12, 86/98, 20/813 i.e 2/1752828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/77, 50/12, 86/98, 20/813.
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 96/77,50/12,86/98,20/813?
Given fractions are 96/77,50/12,86/98,20/813
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 96/77,50/12,86/98,20/813, numerators are 96,50,86,20
Denominators are 77,12,98,813
The GCF of 96,50,86,20 is 2 .
LCM of 77,12,98,813 is 1752828.
The greatest common factor of 96/77,50/12,86/98,20/813 = [GCF of 96,50,86,20]/[LCM of 77,12,98,813]= 2/1752828
Therefore, the GCF of 96/77,50/12,86/98,20/813 is 2/1752828.
To find the highest common factor of 96,50,86,20, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 86 are 1, 2, 43, 86
The factors of 20 are 1, 2, 4, 5, 10, 20
The HCF of 96,50,86,20 is 2.
Lets's calculate GCF of 96,50,86,20
| 2 | 96, 50, 86, 20 |
| 48, 25, 43, 10 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 96,50,86,20 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 20
:1,2,4,5,10,20
Greatest Common Factor
We found the factors 96,50,86,20 . The biggest common factor number is the GCF number.
So the greatest common factor 96,50,86,20 is 2.
Lets's calculate LCM of 77,12,98,813
| 2 | 77, 12, 98, 813 |
| 3 | 77, 6, 49, 813 |
| 7 | 77, 2, 49, 271 |
| 11, 2, 7, 271 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 2 x 7 x 271 = 1752828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1752828
Therefore, the GCF of Fractions 96/77,50/12,86/98,20/813 is 2/1752828
Least Common Multiple of 77,12,98,813 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 77,12,98,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,12,98,813) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(77,12,98,813) x common factors =1 x 42 = 42
LCM(77,12,98,813) = ( 77 × 12 × 98 × 813 ) / 42
LCM(77,12,98,813) = 73618776 / 42
LCM(77,12,98,813) = 1752828
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 96/77, 50/12, 86/98, 20/813
1. What is the HCF of 96,50,86,20?
The HCF of 96,50,86,20 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 96/77, 50/12, 86/98, 20/813?
Answer: GCF of Numerators as per given numbers 96/77, 50/12, 86/98, 20/813 is
GCF of Numerators i.e. for 96,50,86,20 is 2
LCM of denominators i.e. for 77,12,98,813 is 1752828.
Thus, GCF of Fractions is 2/1752828.Finally, GCF of Fractions for 96/77, 50/12, 86/98, 20/813 is 2/1752828.