GCF of 6846/631, 9785/5026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6846/631, 9785/5026 i.e 1/3171406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6846/631, 9785/5026.
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 6846/631,9785/5026?
Given fractions are 6846/631,9785/5026
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 6846/631,9785/5026, numerators are 6846,9785
Denominators are 631,5026
The GCF of 6846,9785 is 1 .
LCM of 631,5026 is 3171406.
The greatest common factor of 6846/631,9785/5026 = [GCF of 6846,9785]/[LCM of 631,5026]= 1/3171406
Therefore, the GCF of 6846/631,9785/5026 is 1/3171406.
To find the highest common factor of 6846,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 6846,9785 is 1.
Lets's calculate GCF of 6846,9785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6846,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 6846
:1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 6846,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 6846,9785 is 1.
Lets's calculate LCM of 631,5026
Given numbers has no common factors except 1. So, there LCM is their product i.e 3171406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3171406
Therefore, the GCF of Fractions 6846/631,9785/5026 is 1/3171406
Least Common Multiple of 631,5026 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 631,5026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,5026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,5026) x common factors =1 x 1 = 1
LCM(631,5026) = ( 631 × 5026 ) / 1
LCM(631,5026) = 3171406 / 1
LCM(631,5026) = 3171406
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6846/631, 9785/5026
1. What is the HCF of 6846,9785?
The HCF of 6846,9785 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 6846/631, 9785/5026?
Answer: GCF of Numerators as per given numbers 6846/631, 9785/5026 is
GCF of Numerators i.e. for 6846,9785 is 1
LCM of denominators i.e. for 631,5026 is 3171406.
Thus, GCF of Fractions is 1/3171406.Finally, GCF of Fractions for 6846/631, 9785/5026 is 1/3171406.