Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8374/655,6169/8380
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 8374,6169
Greatest Common Factor of Numerators i.e. GCF of 8374,6169 is 1 .
LCM of Denominators means LCM of 655,8380 as per the given fractions.
LCM of 655,8380 is 1097780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8374,6169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8374
List of positive integer factors of 8374 that divides 8374 without a remainder.
1,2,53,79,106,158,4187,8374
Factors of 6169
List of positive integer factors of 6169 that divides 6169 without a remainder.
1,31,199,6169
Greatest Common Factor
We found the factors 8374,6169 . The biggest common factor number is the GCF number.
So the greatest common factor 8374,6169 is 1.
Lets's calculate LCM of 655,8380
5 | 655, 8380 |
131, 1676 |
∴ So the LCM of the given numbers is 5 x 131 x 1676 = 1097780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1097780
Therefore, the GCF of Fractions 8374/655,6169/8380 is 1/1097780
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 655,8380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,8380) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,8380) x common factors =5 x 1 = 5
LCM(655,8380) = ( 655 × 8380 ) / 5
LCM(655,8380) = 5488900 / 5
LCM(655,8380) = 1097780
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 8374/655, 6169/8380?
Answer: GCF of Numerators as per given numbers 8374/655, 6169/8380 is
GCF of Numerators i.e. for 8374,6169 is 1
LCM of denominators i.e. for 655,8380 is 1097780.
Thus, GCF of Fractions is 1/1097780.Finally, GCF of Fractions for 8374/655, 6169/8380 is 1/1097780.