Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/105,4602/9719
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 87,4602
Greatest Common Factor of Numerators i.e. GCF of 87,4602 is 3 .
LCM of Denominators means LCM of 105,9719 as per the given fractions.
LCM of 105,9719 is 1020495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,4602
3 | 87, 4602 |
29, 1534 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 4602
List of positive integer factors of 4602 that divides 4602 without a remainder.
1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 87,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 87,4602 is 3.
Lets's calculate LCM of 105,9719
Given numbers has no common factors except 1. So, there LCM is their product i.e 1020495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1020495
Therefore, the GCF of Fractions 87/105,4602/9719 is 3/1020495
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 105,9719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,9719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,9719) x common factors =1 x 1 = 1
LCM(105,9719) = ( 105 × 9719 ) / 1
LCM(105,9719) = 1020495 / 1
LCM(105,9719) = 1020495
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 87/105, 4602/9719?
Answer: GCF of Numerators as per given numbers 87/105, 4602/9719 is
GCF of Numerators i.e. for 87,4602 is 3
LCM of denominators i.e. for 105,9719 is 1020495.
Thus, GCF of Fractions is 3/1020495.Finally, GCF of Fractions for 87/105, 4602/9719 is 3/1020495.