GCF of 66/563, 99/665, 677/426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 66/563, 99/665, 677/426 i.e 1/159492270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/563, 99/665, 677/426.
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 66/563,99/665,677/426?
Given fractions are 66/563,99/665,677/426
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 66/563,99/665,677/426, numerators are 66,99,677
Denominators are 563,665,426
The GCF of 66,99,677 is 1 .
LCM of 563,665,426 is 159492270.
The greatest common factor of 66/563,99/665,677/426 = [GCF of 66,99,677]/[LCM of 563,665,426]= 1/159492270
Therefore, the GCF of 66/563,99/665,677/426 is 1/159492270.
To find the highest common factor of 66,99,677, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 677 are 1, 677
The HCF of 66,99,677 is 1.
Lets's calculate GCF of 66,99,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 66,99,677 By Matching Biggest Common Factor Method
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 66,99,677 . The biggest common factor number is the GCF number.
So the greatest common factor 66,99,677 is 1.
Lets's calculate LCM of 563,665,426
Given numbers has no common factors except 1. So, there LCM is their product i.e 159492270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159492270
Therefore, the GCF of Fractions 66/563,99/665,677/426 is 1/159492270
Least Common Multiple of 563,665,426 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 563,665,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,665,426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,665,426) x common factors =1 x 1 = 1
LCM(563,665,426) = ( 563 × 665 × 426 ) / 1
LCM(563,665,426) = 159492270 / 1
LCM(563,665,426) = 159492270
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FAQs on GCF of Fractions of 66/563, 99/665, 677/426
1. What is the HCF of 66,99,677?
The HCF of 66,99,677 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 66/563, 99/665, 677/426?
Answer: GCF of Numerators as per given numbers 66/563, 99/665, 677/426 is
GCF of Numerators i.e. for 66,99,677 is 1
LCM of denominators i.e. for 563,665,426 is 159492270.
Thus, GCF of Fractions is 1/159492270.Finally, GCF of Fractions for 66/563, 99/665, 677/426 is 1/159492270.