Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7080/777,3569/1033
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 7080,3569
Greatest Common Factor of Numerators i.e. GCF of 7080,3569 is 1 .
LCM of Denominators means LCM of 777,1033 as per the given fractions.
LCM of 777,1033 is 802641 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7080,3569
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7080
List of positive integer factors of 7080 that divides 7080 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080
Factors of 3569
List of positive integer factors of 3569 that divides 3569 without a remainder.
1,43,83,3569
Greatest Common Factor
We found the factors 7080,3569 . The biggest common factor number is the GCF number.
So the greatest common factor 7080,3569 is 1.
Lets's calculate LCM of 777,1033
Given numbers has no common factors except 1. So, there LCM is their product i.e 802641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/802641
Therefore, the GCF of Fractions 7080/777,3569/1033 is 1/802641
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 777,1033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,1033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,1033) x common factors =1 x 1 = 1
LCM(777,1033) = ( 777 × 1033 ) / 1
LCM(777,1033) = 802641 / 1
LCM(777,1033) = 802641
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 7080/777, 3569/1033?
Answer: GCF of Numerators as per given numbers 7080/777, 3569/1033 is
GCF of Numerators i.e. for 7080,3569 is 1
LCM of denominators i.e. for 777,1033 is 802641.
Thus, GCF of Fractions is 1/802641.Finally, GCF of Fractions for 7080/777, 3569/1033 is 1/802641.