Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 958/248,8400/549
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 958,8400
Greatest Common Factor of Numerators i.e. GCF of 958,8400 is 2 .
LCM of Denominators means LCM of 248,549 as per the given fractions.
LCM of 248,549 is 136152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 958,8400
2 | 958, 8400 |
479, 4200 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 8400
List of positive integer factors of 8400 that divides 8400 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400
Greatest Common Factor
We found the factors 958,8400 . The biggest common factor number is the GCF number.
So the greatest common factor 958,8400 is 2.
Lets's calculate LCM of 248,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 136152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136152
Therefore, the GCF of Fractions 958/248,8400/549 is 2/136152
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 248,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,549) x common factors =1 x 1 = 1
LCM(248,549) = ( 248 × 549 ) / 1
LCM(248,549) = 136152 / 1
LCM(248,549) = 136152
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 958/248, 8400/549?
Answer: GCF of Numerators as per given numbers 958/248, 8400/549 is
GCF of Numerators i.e. for 958,8400 is 2
LCM of denominators i.e. for 248,549 is 136152.
Thus, GCF of Fractions is 2/136152.Finally, GCF of Fractions for 958/248, 8400/549 is 2/136152.