Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7860/793,5622/623
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 7860,5622
Greatest Common Factor of Numerators i.e. GCF of 7860,5622 is 6 .
LCM of Denominators means LCM of 793,623 as per the given fractions.
LCM of 793,623 is 494039 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7860,5622
2 | 7860, 5622 |
3 | 3930, 2811 |
1310, 937 |
∴ So the GCF of the given numbers is 2 x 3 = 6
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 5622
List of positive integer factors of 5622 that divides 5622 without a remainder.
1,2,3,6,937,1874,2811,5622
Greatest Common Factor
We found the factors 7860,5622 . The biggest common factor number is the GCF number.
So the greatest common factor 7860,5622 is 6.
Lets's calculate LCM of 793,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 494039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/494039
Therefore, the GCF of Fractions 7860/793,5622/623 is 6/494039
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 793,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,623) x common factors =1 x 1 = 1
LCM(793,623) = ( 793 × 623 ) / 1
LCM(793,623) = 494039 / 1
LCM(793,623) = 494039
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 7860/793, 5622/623?
Answer: GCF of Numerators as per given numbers 7860/793, 5622/623 is
GCF of Numerators i.e. for 7860,5622 is 6
LCM of denominators i.e. for 793,623 is 494039.
Thus, GCF of Fractions is 6/494039.Finally, GCF of Fractions for 7860/793, 5622/623 is 6/494039.