Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1375/67,1032/778
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 1375,1032
Greatest Common Factor of Numerators i.e. GCF of 1375,1032 is 1 .
LCM of Denominators means LCM of 67,778 as per the given fractions.
LCM of 67,778 is 52126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1375,1032
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1375
List of positive integer factors of 1375 that divides 1375 without a remainder.
1,5,11,25,55,125,275,1375
Factors of 1032
List of positive integer factors of 1032 that divides 1032 without a remainder.
1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032
Greatest Common Factor
We found the factors 1375,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 1375,1032 is 1.
Lets's calculate LCM of 67,778
Given numbers has no common factors except 1. So, there LCM is their product i.e 52126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52126
Therefore, the GCF of Fractions 1375/67,1032/778 is 1/52126
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 67,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,778) x common factors =1 x 1 = 1
LCM(67,778) = ( 67 × 778 ) / 1
LCM(67,778) = 52126 / 1
LCM(67,778) = 52126
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 1375/67, 1032/778?
Answer: GCF of Numerators as per given numbers 1375/67, 1032/778 is
GCF of Numerators i.e. for 1375,1032 is 1
LCM of denominators i.e. for 67,778 is 52126.
Thus, GCF of Fractions is 1/52126.Finally, GCF of Fractions for 1375/67, 1032/778 is 1/52126.