Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4356/504,5509/125
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 4356,5509
Greatest Common Factor of Numerators i.e. GCF of 4356,5509 is 1 .
LCM of Denominators means LCM of 504,125 as per the given fractions.
LCM of 504,125 is 63000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4356,5509
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4356
List of positive integer factors of 4356 that divides 4356 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356
Factors of 5509
List of positive integer factors of 5509 that divides 5509 without a remainder.
1,7,787,5509
Greatest Common Factor
We found the factors 4356,5509 . The biggest common factor number is the GCF number.
So the greatest common factor 4356,5509 is 1.
Lets's calculate LCM of 504,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 63000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63000
Therefore, the GCF of Fractions 4356/504,5509/125 is 1/63000
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 504,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(504,125) x common factors =1 x 1 = 1
LCM(504,125) = ( 504 × 125 ) / 1
LCM(504,125) = 63000 / 1
LCM(504,125) = 63000
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 4356/504, 5509/125?
Answer: GCF of Numerators as per given numbers 4356/504, 5509/125 is
GCF of Numerators i.e. for 4356,5509 is 1
LCM of denominators i.e. for 504,125 is 63000.
Thus, GCF of Fractions is 1/63000.Finally, GCF of Fractions for 4356/504, 5509/125 is 1/63000.