Use our free GCF of Fractions Calculator tool to compute the GCF of 35/79, 640/77, 985/806 i.e 5/4902898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/79, 640/77, 985/806.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/79,640/77,985/806
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 35/79,640/77,985/806, numerators are 35,640,985
Denominators are 79,77,806
The GCF of 35,640,985 is 5 .
LCM of 79,77,806 is 4902898.
The greatest common factor of 35/79,640/77,985/806 = [GCF of 35,640,985]/[LCM of 79,77,806]= 5/4902898
Therefore, the GCF of 35/79,640/77,985/806 is 5/4902898.
To find the highest common factor of 35,640,985, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 985 are 1, 5, 197, 985
The HCF of 35,640,985 is 5.
Lets's calculate GCF of 35,640,985
5 | 35, 640, 985 |
7, 128, 197 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 985
:1,5,197,985
Greatest Common Factor
We found the factors 35,640,985 . The biggest common factor number is the GCF number.
So the greatest common factor 35,640,985 is 5.
Lets's calculate LCM of 79,77,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 4902898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4902898
Therefore, the GCF of Fractions 35/79,640/77,985/806 is 5/4902898
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 79,77,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,77,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,77,806) x common factors =1 x 1 = 1
LCM(79,77,806) = ( 79 × 77 × 806 ) / 1
LCM(79,77,806) = 4902898 / 1
LCM(79,77,806) = 4902898
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,640,985?
The HCF of 35,640,985 is 5
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 35/79, 640/77, 985/806?
Answer: GCF of Numerators as per given numbers 35/79, 640/77, 985/806 is
GCF of Numerators i.e. for 35,640,985 is 5
LCM of denominators i.e. for 79,77,806 is 4902898.
Thus, GCF of Fractions is 5/4902898.Finally, GCF of Fractions for 35/79, 640/77, 985/806 is 5/4902898.