Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7989/98,8714/705
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 7989,8714
Greatest Common Factor of Numerators i.e. GCF of 7989,8714 is 1 .
LCM of Denominators means LCM of 98,705 as per the given fractions.
LCM of 98,705 is 69090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7989,8714
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7989
List of positive integer factors of 7989 that divides 7989 without a remainder.
1,3,2663,7989
Factors of 8714
List of positive integer factors of 8714 that divides 8714 without a remainder.
1,2,4357,8714
Greatest Common Factor
We found the factors 7989,8714 . The biggest common factor number is the GCF number.
So the greatest common factor 7989,8714 is 1.
Lets's calculate LCM of 98,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 69090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69090
Therefore, the GCF of Fractions 7989/98,8714/705 is 1/69090
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 98,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,705) x common factors =1 x 1 = 1
LCM(98,705) = ( 98 × 705 ) / 1
LCM(98,705) = 69090 / 1
LCM(98,705) = 69090
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 7989/98, 8714/705?
Answer: GCF of Numerators as per given numbers 7989/98, 8714/705 is
GCF of Numerators i.e. for 7989,8714 is 1
LCM of denominators i.e. for 98,705 is 69090.
Thus, GCF of Fractions is 1/69090.Finally, GCF of Fractions for 7989/98, 8714/705 is 1/69090.