GCF of 910/205, 340/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 910/205, 340/809 i.e 10/165845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/205, 340/809.
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 910/205,340/809?
Given fractions are 910/205,340/809
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 910/205,340/809, numerators are 910,340
Denominators are 205,809
The GCF of 910,340 is 10 .
LCM of 205,809 is 165845.
The greatest common factor of 910/205,340/809 = [GCF of 910,340]/[LCM of 205,809]= 10/165845
Therefore, the GCF of 910/205,340/809 is 10/165845.
To find the highest common factor of 910,340, we have to find the factors of both numbers and list the highest common factor.
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The HCF of 910,340 is 10.
Lets's calculate GCF of 910,340
| 2 | 910, 340 |
| 5 | 455, 170 |
| 91, 34 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 910,340 By Matching Biggest Common Factor Method
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 910,340 . The biggest common factor number is the GCF number.
So the greatest common factor 910,340 is 10.
Lets's calculate LCM of 205,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 165845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/165845
Therefore, the GCF of Fractions 910/205,340/809 is 10/165845
Least Common Multiple of 205,809 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 205,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,809) x common factors =1 x 1 = 1
LCM(205,809) = ( 205 × 809 ) / 1
LCM(205,809) = 165845 / 1
LCM(205,809) = 165845
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FAQs on GCF of Fractions of 910/205, 340/809
1. What is the HCF of 910,340?
The HCF of 910,340 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 910/205, 340/809?
Answer: GCF of Numerators as per given numbers 910/205, 340/809 is
GCF of Numerators i.e. for 910,340 is 10
LCM of denominators i.e. for 205,809 is 165845.
Thus, GCF of Fractions is 10/165845.Finally, GCF of Fractions for 910/205, 340/809 is 10/165845.