Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 264/438,5467/112
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 264,5467
Greatest Common Factor of Numerators i.e. GCF of 264,5467 is 11 .
LCM of Denominators means LCM of 438,112 as per the given fractions.
LCM of 438,112 is 24528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 264,5467
11 | 264, 5467 |
24, 497 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 5467
List of positive integer factors of 5467 that divides 5467 without a remainder.
1,7,11,71,77,497,781,5467
Greatest Common Factor
We found the factors 264,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 264,5467 is 11.
Lets's calculate LCM of 438,112
2 | 438, 112 |
219, 56 |
∴ So the LCM of the given numbers is 2 x 219 x 56 = 24528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/24528
Therefore, the GCF of Fractions 264/438,5467/112 is 11/24528
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 438,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,112) x common factors =2 x 1 = 2
LCM(438,112) = ( 438 × 112 ) / 2
LCM(438,112) = 49056 / 2
LCM(438,112) = 24528
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 264/438, 5467/112?
Answer: GCF of Numerators as per given numbers 264/438, 5467/112 is
GCF of Numerators i.e. for 264,5467 is 11
LCM of denominators i.e. for 438,112 is 24528.
Thus, GCF of Fractions is 11/24528.Finally, GCF of Fractions for 264/438, 5467/112 is 11/24528.