Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5322/549,7254/8792
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 5322,7254
Greatest Common Factor of Numerators i.e. GCF of 5322,7254 is 6 .
LCM of Denominators means LCM of 549,8792 as per the given fractions.
LCM of 549,8792 is 4826808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5322,7254
2 | 5322, 7254 |
3 | 2661, 3627 |
887, 1209 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 5322
List of positive integer factors of 5322 that divides 5322 without a remainder.
1,2,3,6,887,1774,2661,5322
Factors of 7254
List of positive integer factors of 7254 that divides 7254 without a remainder.
1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254
Greatest Common Factor
We found the factors 5322,7254 . The biggest common factor number is the GCF number.
So the greatest common factor 5322,7254 is 6.
Lets's calculate LCM of 549,8792
Given numbers has no common factors except 1. So, there LCM is their product i.e 4826808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4826808
Therefore, the GCF of Fractions 5322/549,7254/8792 is 6/4826808
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 549,8792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,8792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,8792) x common factors =1 x 1 = 1
LCM(549,8792) = ( 549 × 8792 ) / 1
LCM(549,8792) = 4826808 / 1
LCM(549,8792) = 4826808
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 5322/549, 7254/8792?
Answer: GCF of Numerators as per given numbers 5322/549, 7254/8792 is
GCF of Numerators i.e. for 5322,7254 is 6
LCM of denominators i.e. for 549,8792 is 4826808.
Thus, GCF of Fractions is 6/4826808.Finally, GCF of Fractions for 5322/549, 7254/8792 is 6/4826808.