Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5426/175,1228/5370
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 5426,1228
Greatest Common Factor of Numerators i.e. GCF of 5426,1228 is 2 .
LCM of Denominators means LCM of 175,5370 as per the given fractions.
LCM of 175,5370 is 187950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5426,1228
2 | 5426, 1228 |
2713, 614 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5426
List of positive integer factors of 5426 that divides 5426 without a remainder.
1,2,2713,5426
Factors of 1228
List of positive integer factors of 1228 that divides 1228 without a remainder.
1,2,4,307,614,1228
Greatest Common Factor
We found the factors 5426,1228 . The biggest common factor number is the GCF number.
So the greatest common factor 5426,1228 is 2.
Lets's calculate LCM of 175,5370
5 | 175, 5370 |
35, 1074 |
∴ So the LCM of the given numbers is 5 x 35 x 1074 = 187950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187950
Therefore, the GCF of Fractions 5426/175,1228/5370 is 2/187950
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 175,5370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,5370) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(175,5370) x common factors =5 x 1 = 5
LCM(175,5370) = ( 175 × 5370 ) / 5
LCM(175,5370) = 939750 / 5
LCM(175,5370) = 187950
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 5426/175, 1228/5370?
Answer: GCF of Numerators as per given numbers 5426/175, 1228/5370 is
GCF of Numerators i.e. for 5426,1228 is 2
LCM of denominators i.e. for 175,5370 is 187950.
Thus, GCF of Fractions is 2/187950.Finally, GCF of Fractions for 5426/175, 1228/5370 is 2/187950.