Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9760/973,8135/736
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 9760,8135
Greatest Common Factor of Numerators i.e. GCF of 9760,8135 is 5 .
LCM of Denominators means LCM of 973,736 as per the given fractions.
LCM of 973,736 is 716128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9760,8135
5 | 9760, 8135 |
1952, 1627 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9760
List of positive integer factors of 9760 that divides 9760 without a remainder.
1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760
Factors of 8135
List of positive integer factors of 8135 that divides 8135 without a remainder.
1,5,1627,8135
Greatest Common Factor
We found the factors 9760,8135 . The biggest common factor number is the GCF number.
So the greatest common factor 9760,8135 is 5.
Lets's calculate LCM of 973,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 716128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/716128
Therefore, the GCF of Fractions 9760/973,8135/736 is 5/716128
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 973,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,736) x common factors =1 x 1 = 1
LCM(973,736) = ( 973 × 736 ) / 1
LCM(973,736) = 716128 / 1
LCM(973,736) = 716128
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 9760/973, 8135/736?
Answer: GCF of Numerators as per given numbers 9760/973, 8135/736 is
GCF of Numerators i.e. for 9760,8135 is 5
LCM of denominators i.e. for 973,736 is 716128.
Thus, GCF of Fractions is 5/716128.Finally, GCF of Fractions for 9760/973, 8135/736 is 5/716128.