Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1577/946,6662/1525
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 1577,6662
Greatest Common Factor of Numerators i.e. GCF of 1577,6662 is 1 .
LCM of Denominators means LCM of 946,1525 as per the given fractions.
LCM of 946,1525 is 1442650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1577,6662
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1577
List of positive integer factors of 1577 that divides 1577 without a remainder.
1,19,83,1577
Factors of 6662
List of positive integer factors of 6662 that divides 6662 without a remainder.
1,2,3331,6662
Greatest Common Factor
We found the factors 1577,6662 . The biggest common factor number is the GCF number.
So the greatest common factor 1577,6662 is 1.
Lets's calculate LCM of 946,1525
Given numbers has no common factors except 1. So, there LCM is their product i.e 1442650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1442650
Therefore, the GCF of Fractions 1577/946,6662/1525 is 1/1442650
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 946,1525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,1525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,1525) x common factors =1 x 1 = 1
LCM(946,1525) = ( 946 × 1525 ) / 1
LCM(946,1525) = 1442650 / 1
LCM(946,1525) = 1442650
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 1577/946, 6662/1525?
Answer: GCF of Numerators as per given numbers 1577/946, 6662/1525 is
GCF of Numerators i.e. for 1577,6662 is 1
LCM of denominators i.e. for 946,1525 is 1442650.
Thus, GCF of Fractions is 1/1442650.Finally, GCF of Fractions for 1577/946, 6662/1525 is 1/1442650.