Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8262/758,5680/701
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 8262,5680
Greatest Common Factor of Numerators i.e. GCF of 8262,5680 is 2 .
LCM of Denominators means LCM of 758,701 as per the given fractions.
LCM of 758,701 is 531358 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8262,5680
2 | 8262, 5680 |
4131, 2840 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8262
List of positive integer factors of 8262 that divides 8262 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Factors of 5680
List of positive integer factors of 5680 that divides 5680 without a remainder.
1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680
Greatest Common Factor
We found the factors 8262,5680 . The biggest common factor number is the GCF number.
So the greatest common factor 8262,5680 is 2.
Lets's calculate LCM of 758,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 531358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/531358
Therefore, the GCF of Fractions 8262/758,5680/701 is 2/531358
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 758,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,701) x common factors =1 x 1 = 1
LCM(758,701) = ( 758 × 701 ) / 1
LCM(758,701) = 531358 / 1
LCM(758,701) = 531358
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 8262/758, 5680/701?
Answer: GCF of Numerators as per given numbers 8262/758, 5680/701 is
GCF of Numerators i.e. for 8262,5680 is 2
LCM of denominators i.e. for 758,701 is 531358.
Thus, GCF of Fractions is 2/531358.Finally, GCF of Fractions for 8262/758, 5680/701 is 2/531358.