Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7071/26,7800/683
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 7071,7800
Greatest Common Factor of Numerators i.e. GCF of 7071,7800 is 3 .
LCM of Denominators means LCM of 26,683 as per the given fractions.
LCM of 26,683 is 17758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7071,7800
3 | 7071, 7800 |
2357, 2600 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7071
List of positive integer factors of 7071 that divides 7071 without a remainder.
1,3,2357,7071
Factors of 7800
List of positive integer factors of 7800 that divides 7800 without a remainder.
1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800
Greatest Common Factor
We found the factors 7071,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 7071,7800 is 3.
Lets's calculate LCM of 26,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 17758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17758
Therefore, the GCF of Fractions 7071/26,7800/683 is 3/17758
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 26,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,683) x common factors =1 x 1 = 1
LCM(26,683) = ( 26 × 683 ) / 1
LCM(26,683) = 17758 / 1
LCM(26,683) = 17758
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 7071/26, 7800/683?
Answer: GCF of Numerators as per given numbers 7071/26, 7800/683 is
GCF of Numerators i.e. for 7071,7800 is 3
LCM of denominators i.e. for 26,683 is 17758.
Thus, GCF of Fractions is 3/17758.Finally, GCF of Fractions for 7071/26, 7800/683 is 3/17758.