Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/67,553/49,480/386
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 875,553,480
Greatest Common Factor of Numerators i.e. GCF of 875,553,480 is 1 .
LCM of Denominators means LCM of 67,49,386 as per the given fractions.
LCM of 67,49,386 is 1267238 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 875,553,480
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 875,553,480 . The biggest common factor number is the GCF number.
So the greatest common factor 875,553,480 is 1.
Lets's calculate LCM of 67,49,386
Given numbers has no common factors except 1. So, there LCM is their product i.e 1267238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1267238
Therefore, the GCF of Fractions 875/67,553/49,480/386 is 1/1267238
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 67,49,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,49,386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,49,386) x common factors =1 x 1 = 1
LCM(67,49,386) = ( 67 × 49 × 386 ) / 1
LCM(67,49,386) = 1267238 / 1
LCM(67,49,386) = 1267238
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 875/67, 553/49, 480/386?
Answer: GCF of Numerators as per given numbers 875/67, 553/49, 480/386 is
GCF of Numerators i.e. for 875,553,480 is 1
LCM of denominators i.e. for 67,49,386 is 1267238.
Thus, GCF of Fractions is 1/1267238.Finally, GCF of Fractions for 875/67, 553/49, 480/386 is 1/1267238.