Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7129/151,3025/5488
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 7129,3025
Greatest Common Factor of Numerators i.e. GCF of 7129,3025 is 1 .
LCM of Denominators means LCM of 151,5488 as per the given fractions.
LCM of 151,5488 is 828688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7129,3025
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7129
List of positive integer factors of 7129 that divides 7129 without a remainder.
1,7129
Factors of 3025
List of positive integer factors of 3025 that divides 3025 without a remainder.
1,5,11,25,55,121,275,605,3025
Greatest Common Factor
We found the factors 7129,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 7129,3025 is 1.
Lets's calculate LCM of 151,5488
Given numbers has no common factors except 1. So, there LCM is their product i.e 828688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828688
Therefore, the GCF of Fractions 7129/151,3025/5488 is 1/828688
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 151,5488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,5488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,5488) x common factors =1 x 1 = 1
LCM(151,5488) = ( 151 × 5488 ) / 1
LCM(151,5488) = 828688 / 1
LCM(151,5488) = 828688
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 7129/151, 3025/5488?
Answer: GCF of Numerators as per given numbers 7129/151, 3025/5488 is
GCF of Numerators i.e. for 7129,3025 is 1
LCM of denominators i.e. for 151,5488 is 828688.
Thus, GCF of Fractions is 1/828688.Finally, GCF of Fractions for 7129/151, 3025/5488 is 1/828688.