Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 454/547,768/520
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 454,768
Greatest Common Factor of Numerators i.e. GCF of 454,768 is 2 .
LCM of Denominators means LCM of 547,520 as per the given fractions.
LCM of 547,520 is 284440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 454,768
2 | 454, 768 |
227, 384 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 454,768 . The biggest common factor number is the GCF number.
So the greatest common factor 454,768 is 2.
Lets's calculate LCM of 547,520
Given numbers has no common factors except 1. So, there LCM is their product i.e 284440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/284440
Therefore, the GCF of Fractions 454/547,768/520 is 2/284440
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 547,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,520) x common factors =1 x 1 = 1
LCM(547,520) = ( 547 × 520 ) / 1
LCM(547,520) = 284440 / 1
LCM(547,520) = 284440
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 454/547, 768/520?
Answer: GCF of Numerators as per given numbers 454/547, 768/520 is
GCF of Numerators i.e. for 454,768 is 2
LCM of denominators i.e. for 547,520 is 284440.
Thus, GCF of Fractions is 2/284440.Finally, GCF of Fractions for 454/547, 768/520 is 2/284440.