Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5425/99,8945/752
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 5425,8945
Greatest Common Factor of Numerators i.e. GCF of 5425,8945 is 5 .
LCM of Denominators means LCM of 99,752 as per the given fractions.
LCM of 99,752 is 74448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5425,8945
5 | 5425, 8945 |
1085, 1789 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5425
List of positive integer factors of 5425 that divides 5425 without a remainder.
1,5,7,25,31,35,155,175,217,775,1085,5425
Factors of 8945
List of positive integer factors of 8945 that divides 8945 without a remainder.
1,5,1789,8945
Greatest Common Factor
We found the factors 5425,8945 . The biggest common factor number is the GCF number.
So the greatest common factor 5425,8945 is 5.
Lets's calculate LCM of 99,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 74448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/74448
Therefore, the GCF of Fractions 5425/99,8945/752 is 5/74448
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 99,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,752) x common factors =1 x 1 = 1
LCM(99,752) = ( 99 × 752 ) / 1
LCM(99,752) = 74448 / 1
LCM(99,752) = 74448
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 5425/99, 8945/752?
Answer: GCF of Numerators as per given numbers 5425/99, 8945/752 is
GCF of Numerators i.e. for 5425,8945 is 5
LCM of denominators i.e. for 99,752 is 74448.
Thus, GCF of Fractions is 5/74448.Finally, GCF of Fractions for 5425/99, 8945/752 is 5/74448.