Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3650/807,5078/5516
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 3650,5078
Greatest Common Factor of Numerators i.e. GCF of 3650,5078 is 2 .
LCM of Denominators means LCM of 807,5516 as per the given fractions.
LCM of 807,5516 is 4451412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3650,5078
2 | 3650, 5078 |
1825, 2539 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3650
List of positive integer factors of 3650 that divides 3650 without a remainder.
1,2,5,10,25,50,73,146,365,730,1825,3650
Factors of 5078
List of positive integer factors of 5078 that divides 5078 without a remainder.
1,2,2539,5078
Greatest Common Factor
We found the factors 3650,5078 . The biggest common factor number is the GCF number.
So the greatest common factor 3650,5078 is 2.
Lets's calculate LCM of 807,5516
Given numbers has no common factors except 1. So, there LCM is their product i.e 4451412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4451412
Therefore, the GCF of Fractions 3650/807,5078/5516 is 2/4451412
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 807,5516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,5516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,5516) x common factors =1 x 1 = 1
LCM(807,5516) = ( 807 × 5516 ) / 1
LCM(807,5516) = 4451412 / 1
LCM(807,5516) = 4451412
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 3650/807, 5078/5516?
Answer: GCF of Numerators as per given numbers 3650/807, 5078/5516 is
GCF of Numerators i.e. for 3650,5078 is 2
LCM of denominators i.e. for 807,5516 is 4451412.
Thus, GCF of Fractions is 2/4451412.Finally, GCF of Fractions for 3650/807, 5078/5516 is 2/4451412.