Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4380/772,2251/9811
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 4380,2251
Greatest Common Factor of Numerators i.e. GCF of 4380,2251 is 1 .
LCM of Denominators means LCM of 772,9811 as per the given fractions.
LCM of 772,9811 is 7574092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4380,2251
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4380
List of positive integer factors of 4380 that divides 4380 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380
Factors of 2251
List of positive integer factors of 2251 that divides 2251 without a remainder.
1,2251
Greatest Common Factor
We found the factors 4380,2251 . The biggest common factor number is the GCF number.
So the greatest common factor 4380,2251 is 1.
Lets's calculate LCM of 772,9811
Given numbers has no common factors except 1. So, there LCM is their product i.e 7574092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7574092
Therefore, the GCF of Fractions 4380/772,2251/9811 is 1/7574092
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 772,9811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,9811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,9811) x common factors =1 x 1 = 1
LCM(772,9811) = ( 772 × 9811 ) / 1
LCM(772,9811) = 7574092 / 1
LCM(772,9811) = 7574092
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 4380/772, 2251/9811?
Answer: GCF of Numerators as per given numbers 4380/772, 2251/9811 is
GCF of Numerators i.e. for 4380,2251 is 1
LCM of denominators i.e. for 772,9811 is 7574092.
Thus, GCF of Fractions is 1/7574092.Finally, GCF of Fractions for 4380/772, 2251/9811 is 1/7574092.