Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1572/235,8620/702
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 1572,8620
Greatest Common Factor of Numerators i.e. GCF of 1572,8620 is 4 .
LCM of Denominators means LCM of 235,702 as per the given fractions.
LCM of 235,702 is 164970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1572,8620
2 | 1572, 8620 |
2 | 786, 4310 |
393, 2155 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1572
List of positive integer factors of 1572 that divides 1572 without a remainder.
1,2,3,4,6,12,131,262,393,524,786,1572
Factors of 8620
List of positive integer factors of 8620 that divides 8620 without a remainder.
1,2,4,5,10,20,431,862,1724,2155,4310,8620
Greatest Common Factor
We found the factors 1572,8620 . The biggest common factor number is the GCF number.
So the greatest common factor 1572,8620 is 4.
Lets's calculate LCM of 235,702
Given numbers has no common factors except 1. So, there LCM is their product i.e 164970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/164970
Therefore, the GCF of Fractions 1572/235,8620/702 is 4/164970
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 235,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,702) x common factors =1 x 1 = 1
LCM(235,702) = ( 235 × 702 ) / 1
LCM(235,702) = 164970 / 1
LCM(235,702) = 164970
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 1572/235, 8620/702?
Answer: GCF of Numerators as per given numbers 1572/235, 8620/702 is
GCF of Numerators i.e. for 1572,8620 is 4
LCM of denominators i.e. for 235,702 is 164970.
Thus, GCF of Fractions is 4/164970.Finally, GCF of Fractions for 1572/235, 8620/702 is 4/164970.