Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7770/235,4860/6370
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 7770,4860
Greatest Common Factor of Numerators i.e. GCF of 7770,4860 is 30 .
LCM of Denominators means LCM of 235,6370 as per the given fractions.
LCM of 235,6370 is 299390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7770,4860
2 | 7770, 4860 |
3 | 3885, 2430 |
5 | 1295, 810 |
259, 162 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 7770
List of positive integer factors of 7770 that divides 7770 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770
Factors of 4860
List of positive integer factors of 4860 that divides 4860 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860
Greatest Common Factor
We found the factors 7770,4860 . The biggest common factor number is the GCF number.
So the greatest common factor 7770,4860 is 30.
Lets's calculate LCM of 235,6370
5 | 235, 6370 |
47, 1274 |
∴ So the LCM of the given numbers is 5 x 47 x 1274 = 299390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/299390
Therefore, the GCF of Fractions 7770/235,4860/6370 is 30/299390
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 235,6370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,6370) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(235,6370) x common factors =5 x 1 = 5
LCM(235,6370) = ( 235 × 6370 ) / 5
LCM(235,6370) = 1496950 / 5
LCM(235,6370) = 299390
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 7770/235, 4860/6370?
Answer: GCF of Numerators as per given numbers 7770/235, 4860/6370 is
GCF of Numerators i.e. for 7770,4860 is 30
LCM of denominators i.e. for 235,6370 is 299390.
Thus, GCF of Fractions is 30/299390.Finally, GCF of Fractions for 7770/235, 4860/6370 is 30/299390.