Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1349/88,3701/947
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 1349,3701
Greatest Common Factor of Numerators i.e. GCF of 1349,3701 is 1 .
LCM of Denominators means LCM of 88,947 as per the given fractions.
LCM of 88,947 is 83336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1349,3701
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1349
List of positive integer factors of 1349 that divides 1349 without a remainder.
1,19,71,1349
Factors of 3701
List of positive integer factors of 3701 that divides 3701 without a remainder.
1,3701
Greatest Common Factor
We found the factors 1349,3701 . The biggest common factor number is the GCF number.
So the greatest common factor 1349,3701 is 1.
Lets's calculate LCM of 88,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 83336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83336
Therefore, the GCF of Fractions 1349/88,3701/947 is 1/83336
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 88,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,947) x common factors =1 x 1 = 1
LCM(88,947) = ( 88 × 947 ) / 1
LCM(88,947) = 83336 / 1
LCM(88,947) = 83336
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 1349/88, 3701/947?
Answer: GCF of Numerators as per given numbers 1349/88, 3701/947 is
GCF of Numerators i.e. for 1349,3701 is 1
LCM of denominators i.e. for 88,947 is 83336.
Thus, GCF of Fractions is 1/83336.Finally, GCF of Fractions for 1349/88, 3701/947 is 1/83336.