Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7860/724,2200/1785
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 7860,2200
Greatest Common Factor of Numerators i.e. GCF of 7860,2200 is 20 .
LCM of Denominators means LCM of 724,1785 as per the given fractions.
LCM of 724,1785 is 1292340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7860,2200
2 | 7860, 2200 |
2 | 3930, 1100 |
5 | 1965, 550 |
393, 110 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 7860
List of positive integer factors of 7860 that divides 7860 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,131,262,393,524,655,786,1310,1572,1965,2620,3930,7860
Factors of 2200
List of positive integer factors of 2200 that divides 2200 without a remainder.
1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Greatest Common Factor
We found the factors 7860,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 7860,2200 is 20.
Lets's calculate LCM of 724,1785
Given numbers has no common factors except 1. So, there LCM is their product i.e 1292340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1292340
Therefore, the GCF of Fractions 7860/724,2200/1785 is 20/1292340
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 724,1785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,1785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,1785) x common factors =1 x 1 = 1
LCM(724,1785) = ( 724 × 1785 ) / 1
LCM(724,1785) = 1292340 / 1
LCM(724,1785) = 1292340
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 7860/724, 2200/1785?
Answer: GCF of Numerators as per given numbers 7860/724, 2200/1785 is
GCF of Numerators i.e. for 7860,2200 is 20
LCM of denominators i.e. for 724,1785 is 1292340.
Thus, GCF of Fractions is 20/1292340.Finally, GCF of Fractions for 7860/724, 2200/1785 is 20/1292340.