Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 148/692,5488/463
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 148,5488
Greatest Common Factor of Numerators i.e. GCF of 148,5488 is 4 .
LCM of Denominators means LCM of 692,463 as per the given fractions.
LCM of 692,463 is 320396 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 148,5488
2 | 148, 5488 |
2 | 74, 2744 |
37, 1372 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 5488
List of positive integer factors of 5488 that divides 5488 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488
Greatest Common Factor
We found the factors 148,5488 . The biggest common factor number is the GCF number.
So the greatest common factor 148,5488 is 4.
Lets's calculate LCM of 692,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 320396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/320396
Therefore, the GCF of Fractions 148/692,5488/463 is 4/320396
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 692,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,463) x common factors =1 x 1 = 1
LCM(692,463) = ( 692 × 463 ) / 1
LCM(692,463) = 320396 / 1
LCM(692,463) = 320396
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 148/692, 5488/463?
Answer: GCF of Numerators as per given numbers 148/692, 5488/463 is
GCF of Numerators i.e. for 148,5488 is 4
LCM of denominators i.e. for 692,463 is 320396.
Thus, GCF of Fractions is 4/320396.Finally, GCF of Fractions for 148/692, 5488/463 is 4/320396.