GCF of 9071/610, 6809/1360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9071/610, 6809/1360 i.e 1/82960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9071/610, 6809/1360.
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 9071/610,6809/1360?
Given fractions are 9071/610,6809/1360
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 9071/610,6809/1360, numerators are 9071,6809
Denominators are 610,1360
The GCF of 9071,6809 is 1 .
LCM of 610,1360 is 82960.
The greatest common factor of 9071/610,6809/1360 = [GCF of 9071,6809]/[LCM of 610,1360]= 1/82960
Therefore, the GCF of 9071/610,6809/1360 is 1/82960.
To find the highest common factor of 9071,6809, we have to find the factors of both numbers and list the highest common factor.
The factors of 9071 are 1, 47, 193, 9071
The factors of 6809 are 1, 11, 619, 6809
The HCF of 9071,6809 is 1.
Lets's calculate GCF of 9071,6809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9071,6809 By Matching Biggest Common Factor Method
Now, list down the factors of 9071
:1,47,193,9071
Now, list down the factors of 6809
:1,11,619,6809
Greatest Common Factor
We found the factors 9071,6809 . The biggest common factor number is the GCF number.
So the greatest common factor 9071,6809 is 1.
Lets's calculate LCM of 610,1360
| 2 | 610, 1360 |
| 5 | 305, 680 |
| 61, 136 |
∴ So the LCM of the given numbers is 2 x 5 x 61 x 136 = 82960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82960
Therefore, the GCF of Fractions 9071/610,6809/1360 is 1/82960
Least Common Multiple of 610,1360 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 610,1360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,1360) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(610,1360) x common factors =10 x 1 = 10
LCM(610,1360) = ( 610 × 1360 ) / 10
LCM(610,1360) = 829600 / 10
LCM(610,1360) = 82960
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FAQs on GCF of Fractions of 9071/610, 6809/1360
1. What is the HCF of 9071,6809?
The HCF of 9071,6809 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 9071/610, 6809/1360?
Answer: GCF of Numerators as per given numbers 9071/610, 6809/1360 is
GCF of Numerators i.e. for 9071,6809 is 1
LCM of denominators i.e. for 610,1360 is 82960.
Thus, GCF of Fractions is 1/82960.Finally, GCF of Fractions for 9071/610, 6809/1360 is 1/82960.