Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7095/236,2043/6398
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 7095,2043
Greatest Common Factor of Numerators i.e. GCF of 7095,2043 is 3 .
LCM of Denominators means LCM of 236,6398 as per the given fractions.
LCM of 236,6398 is 754964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7095,2043
3 | 7095, 2043 |
2365, 681 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7095
List of positive integer factors of 7095 that divides 7095 without a remainder.
1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095
Factors of 2043
List of positive integer factors of 2043 that divides 2043 without a remainder.
1,3,9,227,681,2043
Greatest Common Factor
We found the factors 7095,2043 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,2043 is 3.
Lets's calculate LCM of 236,6398
2 | 236, 6398 |
118, 3199 |
∴ So the LCM of the given numbers is 2 x 118 x 3199 = 754964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/754964
Therefore, the GCF of Fractions 7095/236,2043/6398 is 3/754964
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 236,6398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,6398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,6398) x common factors =2 x 1 = 2
LCM(236,6398) = ( 236 × 6398 ) / 2
LCM(236,6398) = 1509928 / 2
LCM(236,6398) = 754964
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 7095/236, 2043/6398?
Answer: GCF of Numerators as per given numbers 7095/236, 2043/6398 is
GCF of Numerators i.e. for 7095,2043 is 3
LCM of denominators i.e. for 236,6398 is 754964.
Thus, GCF of Fractions is 3/754964.Finally, GCF of Fractions for 7095/236, 2043/6398 is 3/754964.