GCF of 970/305, 1040/806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 970/305, 1040/806 i.e 10/245830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/305, 1040/806.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 970/305,1040/806?
Given fractions are 970/305,1040/806
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 970/305,1040/806, numerators are 970,1040
Denominators are 305,806
The GCF of 970,1040 is 10 .
LCM of 305,806 is 245830.
The greatest common factor of 970/305,1040/806 = [GCF of 970,1040]/[LCM of 305,806]= 10/245830
Therefore, the GCF of 970/305,1040/806 is 10/245830.
To find the highest common factor of 970,1040, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
The HCF of 970,1040 is 10.
Lets's calculate GCF of 970,1040
| 2 | 970, 1040 |
| 5 | 485, 520 |
| 97, 104 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 970,1040 By Matching Biggest Common Factor Method
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 1040
:1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040
Greatest Common Factor
We found the factors 970,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 970,1040 is 10.
Lets's calculate LCM of 305,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 245830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/245830
Therefore, the GCF of Fractions 970/305,1040/806 is 10/245830
Least Common Multiple of 305,806 with GCF Formula
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 305,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,806) x common factors =1 x 1 = 1
LCM(305,806) = ( 305 × 806 ) / 1
LCM(305,806) = 245830 / 1
LCM(305,806) = 245830
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 970/305, 1040/806
1. What is the HCF of 970,1040?
The HCF of 970,1040 is 10
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 970/305, 1040/806?
Answer: GCF of Numerators as per given numbers 970/305, 1040/806 is
GCF of Numerators i.e. for 970,1040 is 10
LCM of denominators i.e. for 305,806 is 245830.
Thus, GCF of Fractions is 10/245830.Finally, GCF of Fractions for 970/305, 1040/806 is 10/245830.