Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5840/794,7261/7475
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 5840,7261
Greatest Common Factor of Numerators i.e. GCF of 5840,7261 is 1 .
LCM of Denominators means LCM of 794,7475 as per the given fractions.
LCM of 794,7475 is 5935150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5840,7261
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5840
List of positive integer factors of 5840 that divides 5840 without a remainder.
1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Factors of 7261
List of positive integer factors of 7261 that divides 7261 without a remainder.
1,53,137,7261
Greatest Common Factor
We found the factors 5840,7261 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,7261 is 1.
Lets's calculate LCM of 794,7475
Given numbers has no common factors except 1. So, there LCM is their product i.e 5935150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5935150
Therefore, the GCF of Fractions 5840/794,7261/7475 is 1/5935150
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 794,7475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,7475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,7475) x common factors =1 x 1 = 1
LCM(794,7475) = ( 794 × 7475 ) / 1
LCM(794,7475) = 5935150 / 1
LCM(794,7475) = 5935150
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 5840/794, 7261/7475?
Answer: GCF of Numerators as per given numbers 5840/794, 7261/7475 is
GCF of Numerators i.e. for 5840,7261 is 1
LCM of denominators i.e. for 794,7475 is 5935150.
Thus, GCF of Fractions is 1/5935150.Finally, GCF of Fractions for 5840/794, 7261/7475 is 1/5935150.