Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5639/995,7510/5993
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 5639,7510
Greatest Common Factor of Numerators i.e. GCF of 5639,7510 is 1 .
LCM of Denominators means LCM of 995,5993 as per the given fractions.
LCM of 995,5993 is 5963035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5639,7510
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5639
List of positive integer factors of 5639 that divides 5639 without a remainder.
1,5639
Factors of 7510
List of positive integer factors of 7510 that divides 7510 without a remainder.
1,2,5,10,751,1502,3755,7510
Greatest Common Factor
We found the factors 5639,7510 . The biggest common factor number is the GCF number.
So the greatest common factor 5639,7510 is 1.
Lets's calculate LCM of 995,5993
Given numbers has no common factors except 1. So, there LCM is their product i.e 5963035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5963035
Therefore, the GCF of Fractions 5639/995,7510/5993 is 1/5963035
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 995,5993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,5993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,5993) x common factors =1 x 1 = 1
LCM(995,5993) = ( 995 × 5993 ) / 1
LCM(995,5993) = 5963035 / 1
LCM(995,5993) = 5963035
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 5639/995, 7510/5993?
Answer: GCF of Numerators as per given numbers 5639/995, 7510/5993 is
GCF of Numerators i.e. for 5639,7510 is 1
LCM of denominators i.e. for 995,5993 is 5963035.
Thus, GCF of Fractions is 1/5963035.Finally, GCF of Fractions for 5639/995, 7510/5993 is 1/5963035.