Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 973/51,336/5392
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 973,336
Greatest Common Factor of Numerators i.e. GCF of 973,336 is 7 .
LCM of Denominators means LCM of 51,5392 as per the given fractions.
LCM of 51,5392 is 274992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 973,336
7 | 973, 336 |
139, 48 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 973,336 . The biggest common factor number is the GCF number.
So the greatest common factor 973,336 is 7.
Lets's calculate LCM of 51,5392
Given numbers has no common factors except 1. So, there LCM is their product i.e 274992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/274992
Therefore, the GCF of Fractions 973/51,336/5392 is 7/274992
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 51,5392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,5392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,5392) x common factors =1 x 1 = 1
LCM(51,5392) = ( 51 × 5392 ) / 1
LCM(51,5392) = 274992 / 1
LCM(51,5392) = 274992
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 973/51, 336/5392?
Answer: GCF of Numerators as per given numbers 973/51, 336/5392 is
GCF of Numerators i.e. for 973,336 is 7
LCM of denominators i.e. for 51,5392 is 274992.
Thus, GCF of Fractions is 7/274992.Finally, GCF of Fractions for 973/51, 336/5392 is 7/274992.