Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7685/364,7582/484
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 7685,7582
Greatest Common Factor of Numerators i.e. GCF of 7685,7582 is 1 .
LCM of Denominators means LCM of 364,484 as per the given fractions.
LCM of 364,484 is 44044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7685,7582
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7685
List of positive integer factors of 7685 that divides 7685 without a remainder.
1,5,29,53,145,265,1537,7685
Factors of 7582
List of positive integer factors of 7582 that divides 7582 without a remainder.
1,2,17,34,223,446,3791,7582
Greatest Common Factor
We found the factors 7685,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 7685,7582 is 1.
Lets's calculate LCM of 364,484
2 | 364, 484 |
2 | 182, 242 |
91, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 121 = 44044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44044
Therefore, the GCF of Fractions 7685/364,7582/484 is 1/44044
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 364,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(364,484) x common factors =4 x 1 = 4
LCM(364,484) = ( 364 × 484 ) / 4
LCM(364,484) = 176176 / 4
LCM(364,484) = 44044
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 7685/364, 7582/484?
Answer: GCF of Numerators as per given numbers 7685/364, 7582/484 is
GCF of Numerators i.e. for 7685,7582 is 1
LCM of denominators i.e. for 364,484 is 44044.
Thus, GCF of Fractions is 1/44044.Finally, GCF of Fractions for 7685/364, 7582/484 is 1/44044.