Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7846/43,3948/584
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 7846,3948
Greatest Common Factor of Numerators i.e. GCF of 7846,3948 is 2 .
LCM of Denominators means LCM of 43,584 as per the given fractions.
LCM of 43,584 is 25112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7846,3948
2 | 7846, 3948 |
3923, 1974 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7846
List of positive integer factors of 7846 that divides 7846 without a remainder.
1,2,3923,7846
Factors of 3948
List of positive integer factors of 3948 that divides 3948 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948
Greatest Common Factor
We found the factors 7846,3948 . The biggest common factor number is the GCF number.
So the greatest common factor 7846,3948 is 2.
Lets's calculate LCM of 43,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 25112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25112
Therefore, the GCF of Fractions 7846/43,3948/584 is 2/25112
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 43,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,584) x common factors =1 x 1 = 1
LCM(43,584) = ( 43 × 584 ) / 1
LCM(43,584) = 25112 / 1
LCM(43,584) = 25112
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 7846/43, 3948/584?
Answer: GCF of Numerators as per given numbers 7846/43, 3948/584 is
GCF of Numerators i.e. for 7846,3948 is 2
LCM of denominators i.e. for 43,584 is 25112.
Thus, GCF of Fractions is 2/25112.Finally, GCF of Fractions for 7846/43, 3948/584 is 2/25112.