Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7573/21,8400/661
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 7573,8400
Greatest Common Factor of Numerators i.e. GCF of 7573,8400 is 1 .
LCM of Denominators means LCM of 21,661 as per the given fractions.
LCM of 21,661 is 13881 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7573,8400
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7573
List of positive integer factors of 7573 that divides 7573 without a remainder.
1,7573
Factors of 8400
List of positive integer factors of 8400 that divides 8400 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400
Greatest Common Factor
We found the factors 7573,8400 . The biggest common factor number is the GCF number.
So the greatest common factor 7573,8400 is 1.
Lets's calculate LCM of 21,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 13881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13881
Therefore, the GCF of Fractions 7573/21,8400/661 is 1/13881
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 21,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,661) x common factors =1 x 1 = 1
LCM(21,661) = ( 21 × 661 ) / 1
LCM(21,661) = 13881 / 1
LCM(21,661) = 13881
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 7573/21, 8400/661?
Answer: GCF of Numerators as per given numbers 7573/21, 8400/661 is
GCF of Numerators i.e. for 7573,8400 is 1
LCM of denominators i.e. for 21,661 is 13881.
Thus, GCF of Fractions is 1/13881.Finally, GCF of Fractions for 7573/21, 8400/661 is 1/13881.