Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 562/17,490/55,930/156
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 562,490,930
Greatest Common Factor of Numerators i.e. GCF of 562,490,930 is 2 .
LCM of Denominators means LCM of 17,55,156 as per the given fractions.
LCM of 17,55,156 is 145860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 562,490,930
2 | 562, 490, 930 |
281, 245, 465 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 562,490,930 . The biggest common factor number is the GCF number.
So the greatest common factor 562,490,930 is 2.
Lets's calculate LCM of 17,55,156
Given numbers has no common factors except 1. So, there LCM is their product i.e 145860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145860
Therefore, the GCF of Fractions 562/17,490/55,930/156 is 2/145860
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 17,55,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,55,156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,55,156) x common factors =1 x 1 = 1
LCM(17,55,156) = ( 17 × 55 × 156 ) / 1
LCM(17,55,156) = 145860 / 1
LCM(17,55,156) = 145860
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 562/17, 490/55, 930/156?
Answer: GCF of Numerators as per given numbers 562/17, 490/55, 930/156 is
GCF of Numerators i.e. for 562,490,930 is 2
LCM of denominators i.e. for 17,55,156 is 145860.
Thus, GCF of Fractions is 2/145860.Finally, GCF of Fractions for 562/17, 490/55, 930/156 is 2/145860.