Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6860/309,1594/5490
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 6860,1594
Greatest Common Factor of Numerators i.e. GCF of 6860,1594 is 2 .
LCM of Denominators means LCM of 309,5490 as per the given fractions.
LCM of 309,5490 is 565470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6860,1594
2 | 6860, 1594 |
3430, 797 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6860
List of positive integer factors of 6860 that divides 6860 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860
Factors of 1594
List of positive integer factors of 1594 that divides 1594 without a remainder.
1,2,797,1594
Greatest Common Factor
We found the factors 6860,1594 . The biggest common factor number is the GCF number.
So the greatest common factor 6860,1594 is 2.
Lets's calculate LCM of 309,5490
3 | 309, 5490 |
103, 1830 |
∴ So the LCM of the given numbers is 3 x 103 x 1830 = 565470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/565470
Therefore, the GCF of Fractions 6860/309,1594/5490 is 2/565470
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 309,5490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,5490) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,5490) x common factors =3 x 1 = 3
LCM(309,5490) = ( 309 × 5490 ) / 3
LCM(309,5490) = 1696410 / 3
LCM(309,5490) = 565470
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 6860/309, 1594/5490?
Answer: GCF of Numerators as per given numbers 6860/309, 1594/5490 is
GCF of Numerators i.e. for 6860,1594 is 2
LCM of denominators i.e. for 309,5490 is 565470.
Thus, GCF of Fractions is 2/565470.Finally, GCF of Fractions for 6860/309, 1594/5490 is 2/565470.