Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7975/94,8607/440
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 7975,8607
Greatest Common Factor of Numerators i.e. GCF of 7975,8607 is 1 .
LCM of Denominators means LCM of 94,440 as per the given fractions.
LCM of 94,440 is 20680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7975,8607
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7975
List of positive integer factors of 7975 that divides 7975 without a remainder.
1,5,11,25,29,55,145,275,319,725,1595,7975
Factors of 8607
List of positive integer factors of 8607 that divides 8607 without a remainder.
1,3,19,57,151,453,2869,8607
Greatest Common Factor
We found the factors 7975,8607 . The biggest common factor number is the GCF number.
So the greatest common factor 7975,8607 is 1.
Lets's calculate LCM of 94,440
2 | 94, 440 |
47, 220 |
∴ So the LCM of the given numbers is 2 x 47 x 220 = 20680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20680
Therefore, the GCF of Fractions 7975/94,8607/440 is 1/20680
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 94,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,440) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,440) x common factors =2 x 1 = 2
LCM(94,440) = ( 94 × 440 ) / 2
LCM(94,440) = 41360 / 2
LCM(94,440) = 20680
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 7975/94, 8607/440?
Answer: GCF of Numerators as per given numbers 7975/94, 8607/440 is
GCF of Numerators i.e. for 7975,8607 is 1
LCM of denominators i.e. for 94,440 is 20680.
Thus, GCF of Fractions is 1/20680.Finally, GCF of Fractions for 7975/94, 8607/440 is 1/20680.