Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/232,1262/545
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 848,1262
Greatest Common Factor of Numerators i.e. GCF of 848,1262 is 2 .
LCM of Denominators means LCM of 232,545 as per the given fractions.
LCM of 232,545 is 126440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,1262
2 | 848, 1262 |
424, 631 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 1262
List of positive integer factors of 1262 that divides 1262 without a remainder.
1,2,631,1262
Greatest Common Factor
We found the factors 848,1262 . The biggest common factor number is the GCF number.
So the greatest common factor 848,1262 is 2.
Lets's calculate LCM of 232,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 126440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126440
Therefore, the GCF of Fractions 848/232,1262/545 is 2/126440
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 232,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,545) x common factors =1 x 1 = 1
LCM(232,545) = ( 232 × 545 ) / 1
LCM(232,545) = 126440 / 1
LCM(232,545) = 126440
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 848/232, 1262/545?
Answer: GCF of Numerators as per given numbers 848/232, 1262/545 is
GCF of Numerators i.e. for 848,1262 is 2
LCM of denominators i.e. for 232,545 is 126440.
Thus, GCF of Fractions is 2/126440.Finally, GCF of Fractions for 848/232, 1262/545 is 2/126440.