Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8710/85,8490/607
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 8710,8490
Greatest Common Factor of Numerators i.e. GCF of 8710,8490 is 10 .
LCM of Denominators means LCM of 85,607 as per the given fractions.
LCM of 85,607 is 51595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8710,8490
2 | 8710, 8490 |
5 | 4355, 4245 |
871, 849 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 8710
List of positive integer factors of 8710 that divides 8710 without a remainder.
1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710
Factors of 8490
List of positive integer factors of 8490 that divides 8490 without a remainder.
1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Greatest Common Factor
We found the factors 8710,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 8710,8490 is 10.
Lets's calculate LCM of 85,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 51595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/51595
Therefore, the GCF of Fractions 8710/85,8490/607 is 10/51595
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 85,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,607) x common factors =1 x 1 = 1
LCM(85,607) = ( 85 × 607 ) / 1
LCM(85,607) = 51595 / 1
LCM(85,607) = 51595
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 8710/85, 8490/607?
Answer: GCF of Numerators as per given numbers 8710/85, 8490/607 is
GCF of Numerators i.e. for 8710,8490 is 10
LCM of denominators i.e. for 85,607 is 51595.
Thus, GCF of Fractions is 10/51595.Finally, GCF of Fractions for 8710/85, 8490/607 is 10/51595.