Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 646/897,7000/911
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 646,7000
Greatest Common Factor of Numerators i.e. GCF of 646,7000 is 2 .
LCM of Denominators means LCM of 897,911 as per the given fractions.
LCM of 897,911 is 817167 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 646,7000
2 | 646, 7000 |
323, 3500 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 7000
List of positive integer factors of 7000 that divides 7000 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors 646,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 646,7000 is 2.
Lets's calculate LCM of 897,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 817167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/817167
Therefore, the GCF of Fractions 646/897,7000/911 is 2/817167
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 897,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,911) x common factors =1 x 1 = 1
LCM(897,911) = ( 897 × 911 ) / 1
LCM(897,911) = 817167 / 1
LCM(897,911) = 817167
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 646/897, 7000/911?
Answer: GCF of Numerators as per given numbers 646/897, 7000/911 is
GCF of Numerators i.e. for 646,7000 is 2
LCM of denominators i.e. for 897,911 is 817167.
Thus, GCF of Fractions is 2/817167.Finally, GCF of Fractions for 646/897, 7000/911 is 2/817167.