Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5571/97,5203/371
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 5571,5203
Greatest Common Factor of Numerators i.e. GCF of 5571,5203 is 1 .
LCM of Denominators means LCM of 97,371 as per the given fractions.
LCM of 97,371 is 35987 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5571,5203
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5571
List of positive integer factors of 5571 that divides 5571 without a remainder.
1,3,9,619,1857,5571
Factors of 5203
List of positive integer factors of 5203 that divides 5203 without a remainder.
1,11,43,121,473,5203
Greatest Common Factor
We found the factors 5571,5203 . The biggest common factor number is the GCF number.
So the greatest common factor 5571,5203 is 1.
Lets's calculate LCM of 97,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 35987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35987
Therefore, the GCF of Fractions 5571/97,5203/371 is 1/35987
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 97,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,371) x common factors =1 x 1 = 1
LCM(97,371) = ( 97 × 371 ) / 1
LCM(97,371) = 35987 / 1
LCM(97,371) = 35987
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 5571/97, 5203/371?
Answer: GCF of Numerators as per given numbers 5571/97, 5203/371 is
GCF of Numerators i.e. for 5571,5203 is 1
LCM of denominators i.e. for 97,371 is 35987.
Thus, GCF of Fractions is 1/35987.Finally, GCF of Fractions for 5571/97, 5203/371 is 1/35987.