Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/87,7253/253
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 934,7253
Greatest Common Factor of Numerators i.e. GCF of 934,7253 is 1 .
LCM of Denominators means LCM of 87,253 as per the given fractions.
LCM of 87,253 is 22011 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,7253
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 7253
List of positive integer factors of 7253 that divides 7253 without a remainder.
1,7253
Greatest Common Factor
We found the factors 934,7253 . The biggest common factor number is the GCF number.
So the greatest common factor 934,7253 is 1.
Lets's calculate LCM of 87,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 22011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22011
Therefore, the GCF of Fractions 934/87,7253/253 is 1/22011
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 87,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,253) x common factors =1 x 1 = 1
LCM(87,253) = ( 87 × 253 ) / 1
LCM(87,253) = 22011 / 1
LCM(87,253) = 22011
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 934/87, 7253/253?
Answer: GCF of Numerators as per given numbers 934/87, 7253/253 is
GCF of Numerators i.e. for 934,7253 is 1
LCM of denominators i.e. for 87,253 is 22011.
Thus, GCF of Fractions is 1/22011.Finally, GCF of Fractions for 934/87, 7253/253 is 1/22011.