Use our free GCF of Fractions Calculator tool to compute the GCF of 8420/129, 1667/8860 i.e 1/1142940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8420/129, 1667/8860.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8420/129,1667/8860
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8420/129,1667/8860, numerators are 8420,1667
Denominators are 129,8860
The GCF of 8420,1667 is 1 .
LCM of 129,8860 is 1142940.
The greatest common factor of 8420/129,1667/8860 = [GCF of 8420,1667]/[LCM of 129,8860]= 1/1142940
Therefore, the GCF of 8420/129,1667/8860 is 1/1142940.
To find the highest common factor of 8420,1667, we have to find the factors of both numbers and list the highest common factor.
The factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420
The factors of 1667 are 1, 1667
The HCF of 8420,1667 is 1.
Lets's calculate GCF of 8420,1667
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8420
:1,2,4,5,10,20,421,842,1684,2105,4210,8420
Now, list down the factors of 1667
:1,1667
Greatest Common Factor
We found the factors 8420,1667 . The biggest common factor number is the GCF number.
So the greatest common factor 8420,1667 is 1.
Lets's calculate LCM of 129,8860
Given numbers has no common factors except 1. So, there LCM is their product i.e 1142940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1142940
Therefore, the GCF of Fractions 8420/129,1667/8860 is 1/1142940
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 129,8860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,8860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,8860) x common factors =1 x 1 = 1
LCM(129,8860) = ( 129 × 8860 ) / 1
LCM(129,8860) = 1142940 / 1
LCM(129,8860) = 1142940
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8420,1667?
The HCF of 8420,1667 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 8420/129, 1667/8860?
Answer: GCF of Numerators as per given numbers 8420/129, 1667/8860 is
GCF of Numerators i.e. for 8420,1667 is 1
LCM of denominators i.e. for 129,8860 is 1142940.
Thus, GCF of Fractions is 1/1142940.Finally, GCF of Fractions for 8420/129, 1667/8860 is 1/1142940.