Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/79,542/6908
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 548,542
Greatest Common Factor of Numerators i.e. GCF of 548,542 is 2 .
LCM of Denominators means LCM of 79,6908 as per the given fractions.
LCM of 79,6908 is 545732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,542
2 | 548, 542 |
274, 271 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 548,542 . The biggest common factor number is the GCF number.
So the greatest common factor 548,542 is 2.
Lets's calculate LCM of 79,6908
Given numbers has no common factors except 1. So, there LCM is their product i.e 545732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/545732
Therefore, the GCF of Fractions 548/79,542/6908 is 2/545732
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 79,6908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,6908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,6908) x common factors =1 x 1 = 1
LCM(79,6908) = ( 79 × 6908 ) / 1
LCM(79,6908) = 545732 / 1
LCM(79,6908) = 545732
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 548/79, 542/6908?
Answer: GCF of Numerators as per given numbers 548/79, 542/6908 is
GCF of Numerators i.e. for 548,542 is 2
LCM of denominators i.e. for 79,6908 is 545732.
Thus, GCF of Fractions is 2/545732.Finally, GCF of Fractions for 548/79, 542/6908 is 2/545732.