Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/574,7450/620
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 548,7450
Greatest Common Factor of Numerators i.e. GCF of 548,7450 is 2 .
LCM of Denominators means LCM of 574,620 as per the given fractions.
LCM of 574,620 is 177940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,7450
2 | 548, 7450 |
274, 3725 |
∴ 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 7450
List of positive integer factors of 7450 that divides 7450 without a remainder.
1,2,5,10,25,50,149,298,745,1490,3725,7450
Greatest Common Factor
We found the factors 548,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 548,7450 is 2.
Lets's calculate LCM of 574,620
2 | 574, 620 |
287, 310 |
∴ So the LCM of the given numbers is 2 x 287 x 310 = 177940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/177940
Therefore, the GCF of Fractions 548/574,7450/620 is 2/177940
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 574,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,620) x common factors =2 x 1 = 2
LCM(574,620) = ( 574 × 620 ) / 2
LCM(574,620) = 355880 / 2
LCM(574,620) = 177940
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 548/574, 7450/620?
Answer: GCF of Numerators as per given numbers 548/574, 7450/620 is
GCF of Numerators i.e. for 548,7450 is 2
LCM of denominators i.e. for 574,620 is 177940.
Thus, GCF of Fractions is 2/177940.Finally, GCF of Fractions for 548/574, 7450/620 is 2/177940.