Use our free GCF of Fractions Calculator tool to compute the GCF of 207/77, 160/6378 i.e 1/491106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 207/77, 160/6378.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 207/77,160/6378
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 207/77,160/6378, numerators are 207,160
Denominators are 77,6378
The GCF of 207,160 is 1 .
LCM of 77,6378 is 491106.
The greatest common factor of 207/77,160/6378 = [GCF of 207,160]/[LCM of 77,6378]= 1/491106
Therefore, the GCF of 207/77,160/6378 is 1/491106.
To find the highest common factor of 207,160, we have to find the factors of both numbers and list the highest common factor.
The factors of 207 are 1, 3, 9, 23, 69, 207
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The HCF of 207,160 is 1.
Lets's calculate GCF of 207,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 207
:1,3,9,23,69,207
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 207,160 . The biggest common factor number is the GCF number.
So the greatest common factor 207,160 is 1.
Lets's calculate LCM of 77,6378
Given numbers has no common factors except 1. So, there LCM is their product i.e 491106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491106
Therefore, the GCF of Fractions 207/77,160/6378 is 1/491106
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 77,6378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,6378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,6378) x common factors =1 x 1 = 1
LCM(77,6378) = ( 77 × 6378 ) / 1
LCM(77,6378) = 491106 / 1
LCM(77,6378) = 491106
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 207,160?
The HCF of 207,160 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 207/77, 160/6378?
Answer: GCF of Numerators as per given numbers 207/77, 160/6378 is
GCF of Numerators i.e. for 207,160 is 1
LCM of denominators i.e. for 77,6378 is 491106.
Thus, GCF of Fractions is 1/491106.Finally, GCF of Fractions for 207/77, 160/6378 is 1/491106.