Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 829/560,5787/981
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 829,5787
Greatest Common Factor of Numerators i.e. GCF of 829,5787 is 1 .
LCM of Denominators means LCM of 560,981 as per the given fractions.
LCM of 560,981 is 549360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 829,5787
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 5787
List of positive integer factors of 5787 that divides 5787 without a remainder.
1,3,9,643,1929,5787
Greatest Common Factor
We found the factors 829,5787 . The biggest common factor number is the GCF number.
So the greatest common factor 829,5787 is 1.
Lets's calculate LCM of 560,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 549360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549360
Therefore, the GCF of Fractions 829/560,5787/981 is 1/549360
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 560,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,981) x common factors =1 x 1 = 1
LCM(560,981) = ( 560 × 981 ) / 1
LCM(560,981) = 549360 / 1
LCM(560,981) = 549360
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 829/560, 5787/981?
Answer: GCF of Numerators as per given numbers 829/560, 5787/981 is
GCF of Numerators i.e. for 829,5787 is 1
LCM of denominators i.e. for 560,981 is 549360.
Thus, GCF of Fractions is 1/549360.Finally, GCF of Fractions for 829/560, 5787/981 is 1/549360.