Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7329/701,7042/2526
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 7329,7042
Greatest Common Factor of Numerators i.e. GCF of 7329,7042 is 7 .
LCM of Denominators means LCM of 701,2526 as per the given fractions.
LCM of 701,2526 is 1770726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7329,7042
7 | 7329, 7042 |
1047, 1006 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 7329
List of positive integer factors of 7329 that divides 7329 without a remainder.
1,3,7,21,349,1047,2443,7329
Factors of 7042
List of positive integer factors of 7042 that divides 7042 without a remainder.
1,2,7,14,503,1006,3521,7042
Greatest Common Factor
We found the factors 7329,7042 . The biggest common factor number is the GCF number.
So the greatest common factor 7329,7042 is 7.
Lets's calculate LCM of 701,2526
Given numbers has no common factors except 1. So, there LCM is their product i.e 1770726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1770726
Therefore, the GCF of Fractions 7329/701,7042/2526 is 7/1770726
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 701,2526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,2526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,2526) x common factors =1 x 1 = 1
LCM(701,2526) = ( 701 × 2526 ) / 1
LCM(701,2526) = 1770726 / 1
LCM(701,2526) = 1770726
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 7329/701, 7042/2526?
Answer: GCF of Numerators as per given numbers 7329/701, 7042/2526 is
GCF of Numerators i.e. for 7329,7042 is 7
LCM of denominators i.e. for 701,2526 is 1770726.
Thus, GCF of Fractions is 7/1770726.Finally, GCF of Fractions for 7329/701, 7042/2526 is 7/1770726.