Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/883,891/565,725/278
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 80,891,725
Greatest Common Factor of Numerators i.e. GCF of 80,891,725 is 1 .
LCM of Denominators means LCM of 883,565,278 as per the given fractions.
LCM of 883,565,278 is 138692810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,891,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 80,891,725 . The biggest common factor number is the GCF number.
So the greatest common factor 80,891,725 is 1.
Lets's calculate LCM of 883,565,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 138692810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138692810
Therefore, the GCF of Fractions 80/883,891/565,725/278 is 1/138692810
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 883,565,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,565,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,565,278) x common factors =1 x 1 = 1
LCM(883,565,278) = ( 883 × 565 × 278 ) / 1
LCM(883,565,278) = 138692810 / 1
LCM(883,565,278) = 138692810
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 80/883, 891/565, 725/278?
Answer: GCF of Numerators as per given numbers 80/883, 891/565, 725/278 is
GCF of Numerators i.e. for 80,891,725 is 1
LCM of denominators i.e. for 883,565,278 is 138692810.
Thus, GCF of Fractions is 1/138692810.Finally, GCF of Fractions for 80/883, 891/565, 725/278 is 1/138692810.