Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3547/88,4213/694
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 3547,4213
Greatest Common Factor of Numerators i.e. GCF of 3547,4213 is 1 .
LCM of Denominators means LCM of 88,694 as per the given fractions.
LCM of 88,694 is 30536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3547,4213
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3547
List of positive integer factors of 3547 that divides 3547 without a remainder.
1,3547
Factors of 4213
List of positive integer factors of 4213 that divides 4213 without a remainder.
1,11,383,4213
Greatest Common Factor
We found the factors 3547,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 3547,4213 is 1.
Lets's calculate LCM of 88,694
2 | 88, 694 |
44, 347 |
∴ So the LCM of the given numbers is 2 x 44 x 347 = 30536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30536
Therefore, the GCF of Fractions 3547/88,4213/694 is 1/30536
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 88,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(88,694) x common factors =2 x 1 = 2
LCM(88,694) = ( 88 × 694 ) / 2
LCM(88,694) = 61072 / 2
LCM(88,694) = 30536
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 3547/88, 4213/694?
Answer: GCF of Numerators as per given numbers 3547/88, 4213/694 is
GCF of Numerators i.e. for 3547,4213 is 1
LCM of denominators i.e. for 88,694 is 30536.
Thus, GCF of Fractions is 1/30536.Finally, GCF of Fractions for 3547/88, 4213/694 is 1/30536.