Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7979/850,6216/168
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7979,6216
Greatest Common Factor of Numerators i.e. GCF of 7979,6216 is 1 .
LCM of Denominators means LCM of 850,168 as per the given fractions.
LCM of 850,168 is 71400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7979,6216
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7979
List of positive integer factors of 7979 that divides 7979 without a remainder.
1,79,101,7979
Factors of 6216
List of positive integer factors of 6216 that divides 6216 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216
Greatest Common Factor
We found the factors 7979,6216 . The biggest common factor number is the GCF number.
So the greatest common factor 7979,6216 is 1.
Lets's calculate LCM of 850,168
2 | 850, 168 |
425, 84 |
∴ So the LCM of the given numbers is 2 x 425 x 84 = 71400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71400
Therefore, the GCF of Fractions 7979/850,6216/168 is 1/71400
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 850,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,168) x common factors =2 x 1 = 2
LCM(850,168) = ( 850 × 168 ) / 2
LCM(850,168) = 142800 / 2
LCM(850,168) = 71400
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 7979/850, 6216/168?
Answer: GCF of Numerators as per given numbers 7979/850, 6216/168 is
GCF of Numerators i.e. for 7979,6216 is 1
LCM of denominators i.e. for 850,168 is 71400.
Thus, GCF of Fractions is 1/71400.Finally, GCF of Fractions for 7979/850, 6216/168 is 1/71400.