GCF of 1842/307, 6586/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1842/307, 6586/687 i.e 2/210909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1842/307, 6586/687.
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 1842/307,6586/687?
Given fractions are 1842/307,6586/687
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 1842/307,6586/687, numerators are 1842,6586
Denominators are 307,687
The GCF of 1842,6586 is 2 .
LCM of 307,687 is 210909.
The greatest common factor of 1842/307,6586/687 = [GCF of 1842,6586]/[LCM of 307,687]= 2/210909
Therefore, the GCF of 1842/307,6586/687 is 2/210909.
To find the highest common factor of 1842,6586, we have to find the factors of both numbers and list the highest common factor.
The factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842
The factors of 6586 are 1, 2, 37, 74, 89, 178, 3293, 6586
The HCF of 1842,6586 is 2.
Lets's calculate GCF of 1842,6586
| 2 | 1842, 6586 |
| 921, 3293 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1842,6586 By Matching Biggest Common Factor Method
Now, list down the factors of 1842
:1,2,3,6,307,614,921,1842
Now, list down the factors of 6586
:1,2,37,74,89,178,3293,6586
Greatest Common Factor
We found the factors 1842,6586 . The biggest common factor number is the GCF number.
So the greatest common factor 1842,6586 is 2.
Lets's calculate LCM of 307,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 210909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210909
Therefore, the GCF of Fractions 1842/307,6586/687 is 2/210909
Least Common Multiple of 307,687 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 307,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,687) x common factors =1 x 1 = 1
LCM(307,687) = ( 307 × 687 ) / 1
LCM(307,687) = 210909 / 1
LCM(307,687) = 210909
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FAQs on GCF of Fractions of 1842/307, 6586/687
1. What is the HCF of 1842,6586?
The HCF of 1842,6586 is 2
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 1842/307, 6586/687?
Answer: GCF of Numerators as per given numbers 1842/307, 6586/687 is
GCF of Numerators i.e. for 1842,6586 is 2
LCM of denominators i.e. for 307,687 is 210909.
Thus, GCF of Fractions is 2/210909.Finally, GCF of Fractions for 1842/307, 6586/687 is 2/210909.