Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1724/53,1368/985
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 1724,1368
Greatest Common Factor of Numerators i.e. GCF of 1724,1368 is 4 .
LCM of Denominators means LCM of 53,985 as per the given fractions.
LCM of 53,985 is 52205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1724,1368
2 | 1724, 1368 |
2 | 862, 684 |
431, 342 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1724
List of positive integer factors of 1724 that divides 1724 without a remainder.
1,2,4,431,862,1724
Factors of 1368
List of positive integer factors of 1368 that divides 1368 without a remainder.
1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368
Greatest Common Factor
We found the factors 1724,1368 . The biggest common factor number is the GCF number.
So the greatest common factor 1724,1368 is 4.
Lets's calculate LCM of 53,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 52205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/52205
Therefore, the GCF of Fractions 1724/53,1368/985 is 4/52205
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 53,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,985) x common factors =1 x 1 = 1
LCM(53,985) = ( 53 × 985 ) / 1
LCM(53,985) = 52205 / 1
LCM(53,985) = 52205
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 1724/53, 1368/985?
Answer: GCF of Numerators as per given numbers 1724/53, 1368/985 is
GCF of Numerators i.e. for 1724,1368 is 4
LCM of denominators i.e. for 53,985 is 52205.
Thus, GCF of Fractions is 4/52205.Finally, GCF of Fractions for 1724/53, 1368/985 is 4/52205.