GCF of 6638/146, 7707/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6638/146, 7707/461 i.e 1/67306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6638/146, 7707/461.
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 6638/146,7707/461?
Given fractions are 6638/146,7707/461
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 6638/146,7707/461, numerators are 6638,7707
Denominators are 146,461
The GCF of 6638,7707 is 1 .
LCM of 146,461 is 67306.
The greatest common factor of 6638/146,7707/461 = [GCF of 6638,7707]/[LCM of 146,461]= 1/67306
Therefore, the GCF of 6638/146,7707/461 is 1/67306.
To find the highest common factor of 6638,7707, we have to find the factors of both numbers and list the highest common factor.
The factors of 6638 are 1, 2, 3319, 6638
The factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707
The HCF of 6638,7707 is 1.
Lets's calculate GCF of 6638,7707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6638,7707 By Matching Biggest Common Factor Method
Now, list down the factors of 6638
:1,2,3319,6638
Now, list down the factors of 7707
:1,3,7,21,367,1101,2569,7707
Greatest Common Factor
We found the factors 6638,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 6638,7707 is 1.
Lets's calculate LCM of 146,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 67306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67306
Therefore, the GCF of Fractions 6638/146,7707/461 is 1/67306
Least Common Multiple of 146,461 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 146,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,461) x common factors =1 x 1 = 1
LCM(146,461) = ( 146 × 461 ) / 1
LCM(146,461) = 67306 / 1
LCM(146,461) = 67306
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6638/146, 7707/461
1. What is the HCF of 6638,7707?
The HCF of 6638,7707 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 6638/146, 7707/461?
Answer: GCF of Numerators as per given numbers 6638/146, 7707/461 is
GCF of Numerators i.e. for 6638,7707 is 1
LCM of denominators i.e. for 146,461 is 67306.
Thus, GCF of Fractions is 1/67306.Finally, GCF of Fractions for 6638/146, 7707/461 is 1/67306.