Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7400/869,1769/1362
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 7400,1769
Greatest Common Factor of Numerators i.e. GCF of 7400,1769 is 1 .
LCM of Denominators means LCM of 869,1362 as per the given fractions.
LCM of 869,1362 is 1183578 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7400,1769
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7400
List of positive integer factors of 7400 that divides 7400 without a remainder.
1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Factors of 1769
List of positive integer factors of 1769 that divides 1769 without a remainder.
1,29,61,1769
Greatest Common Factor
We found the factors 7400,1769 . The biggest common factor number is the GCF number.
So the greatest common factor 7400,1769 is 1.
Lets's calculate LCM of 869,1362
Given numbers has no common factors except 1. So, there LCM is their product i.e 1183578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1183578
Therefore, the GCF of Fractions 7400/869,1769/1362 is 1/1183578
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 869,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,1362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,1362) x common factors =1 x 1 = 1
LCM(869,1362) = ( 869 × 1362 ) / 1
LCM(869,1362) = 1183578 / 1
LCM(869,1362) = 1183578
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 7400/869, 1769/1362?
Answer: GCF of Numerators as per given numbers 7400/869, 1769/1362 is
GCF of Numerators i.e. for 7400,1769 is 1
LCM of denominators i.e. for 869,1362 is 1183578.
Thus, GCF of Fractions is 1/1183578.Finally, GCF of Fractions for 7400/869, 1769/1362 is 1/1183578.