Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3580/110,3953/8467
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 3580,3953
Greatest Common Factor of Numerators i.e. GCF of 3580,3953 is 1 .
LCM of Denominators means LCM of 110,8467 as per the given fractions.
LCM of 110,8467 is 931370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3580,3953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3580
List of positive integer factors of 3580 that divides 3580 without a remainder.
1,2,4,5,10,20,179,358,716,895,1790,3580
Factors of 3953
List of positive integer factors of 3953 that divides 3953 without a remainder.
1,59,67,3953
Greatest Common Factor
We found the factors 3580,3953 . The biggest common factor number is the GCF number.
So the greatest common factor 3580,3953 is 1.
Lets's calculate LCM of 110,8467
Given numbers has no common factors except 1. So, there LCM is their product i.e 931370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/931370
Therefore, the GCF of Fractions 3580/110,3953/8467 is 1/931370
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 110,8467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,8467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(110,8467) x common factors =1 x 1 = 1
LCM(110,8467) = ( 110 × 8467 ) / 1
LCM(110,8467) = 931370 / 1
LCM(110,8467) = 931370
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 3580/110, 3953/8467?
Answer: GCF of Numerators as per given numbers 3580/110, 3953/8467 is
GCF of Numerators i.e. for 3580,3953 is 1
LCM of denominators i.e. for 110,8467 is 931370.
Thus, GCF of Fractions is 1/931370.Finally, GCF of Fractions for 3580/110, 3953/8467 is 1/931370.