Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/82,55/25,40/549,120/953
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 9,55,40,120
Greatest Common Factor of Numerators i.e. GCF of 9,55,40,120 is 1 .
LCM of Denominators means LCM of 82,25,549,953 as per the given fractions.
LCM of 82,25,549,953 is 1072553850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,55,40,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 9,55,40,120 . The biggest common factor number is the GCF number.
So the greatest common factor 9,55,40,120 is 1.
Lets's calculate LCM of 82,25,549,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 1072553850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1072553850
Therefore, the GCF of Fractions 9/82,55/25,40/549,120/953 is 1/1072553850
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 82,25,549,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,25,549,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,25,549,953) x common factors =1 x 1 = 1
LCM(82,25,549,953) = ( 82 × 25 × 549 × 953 ) / 1
LCM(82,25,549,953) = 1072553850 / 1
LCM(82,25,549,953) = 1072553850
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 9/82, 55/25, 40/549, 120/953?
Answer: GCF of Numerators as per given numbers 9/82, 55/25, 40/549, 120/953 is
GCF of Numerators i.e. for 9,55,40,120 is 1
LCM of denominators i.e. for 82,25,549,953 is 1072553850.
Thus, GCF of Fractions is 1/1072553850.Finally, GCF of Fractions for 9/82, 55/25, 40/549, 120/953 is 1/1072553850.