Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 655/77,984/70,269/665
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 655,984,269
Greatest Common Factor of Numerators i.e. GCF of 655,984,269 is 1 .
LCM of Denominators means LCM of 77,70,665 as per the given fractions.
LCM of 77,70,665 is 14630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 655,984,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 655,984,269 . The biggest common factor number is the GCF number.
So the greatest common factor 655,984,269 is 1.
Lets's calculate LCM of 77,70,665
5 | 77, 70, 665 |
7 | 77, 14, 133 |
11, 2, 19 |
∴ So the LCM of the given numbers is 5 x 7 x 11 x 2 x 19 = 14630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14630
Therefore, the GCF of Fractions 655/77,984/70,269/665 is 1/14630
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 77,70,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,70,665) = 7
common factors(in case of two or more numbers have common factors) = 35
GCF(77,70,665) x common factors =7 x 35 = 245
LCM(77,70,665) = ( 77 × 70 × 665 ) / 245
LCM(77,70,665) = 3584350 / 245
LCM(77,70,665) = 14630
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 655/77, 984/70, 269/665?
Answer: GCF of Numerators as per given numbers 655/77, 984/70, 269/665 is
GCF of Numerators i.e. for 655,984,269 is 1
LCM of denominators i.e. for 77,70,665 is 14630.
Thus, GCF of Fractions is 1/14630.Finally, GCF of Fractions for 655/77, 984/70, 269/665 is 1/14630.