Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9548/64,8552/554
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 9548,8552
Greatest Common Factor of Numerators i.e. GCF of 9548,8552 is 4 .
LCM of Denominators means LCM of 64,554 as per the given fractions.
LCM of 64,554 is 17728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9548,8552
2 | 9548, 8552 |
2 | 4774, 4276 |
2387, 2138 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9548
List of positive integer factors of 9548 that divides 9548 without a remainder.
1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Factors of 8552
List of positive integer factors of 8552 that divides 8552 without a remainder.
1,2,4,8,1069,2138,4276,8552
Greatest Common Factor
We found the factors 9548,8552 . The biggest common factor number is the GCF number.
So the greatest common factor 9548,8552 is 4.
Lets's calculate LCM of 64,554
2 | 64, 554 |
32, 277 |
∴ So the LCM of the given numbers is 2 x 32 x 277 = 17728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17728
Therefore, the GCF of Fractions 9548/64,8552/554 is 4/17728
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 64,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(64,554) x common factors =2 x 1 = 2
LCM(64,554) = ( 64 × 554 ) / 2
LCM(64,554) = 35456 / 2
LCM(64,554) = 17728
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 9548/64, 8552/554?
Answer: GCF of Numerators as per given numbers 9548/64, 8552/554 is
GCF of Numerators i.e. for 9548,8552 is 4
LCM of denominators i.e. for 64,554 is 17728.
Thus, GCF of Fractions is 4/17728.Finally, GCF of Fractions for 9548/64, 8552/554 is 4/17728.