GCF of 66/810, 126/566, 505/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 66/810, 126/566, 505/434 i.e 1/49742910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/810, 126/566, 505/434.
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 66/810,126/566,505/434?
Given fractions are 66/810,126/566,505/434
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 66/810,126/566,505/434, numerators are 66,126,505
Denominators are 810,566,434
The GCF of 66,126,505 is 1 .
LCM of 810,566,434 is 49742910.
The greatest common factor of 66/810,126/566,505/434 = [GCF of 66,126,505]/[LCM of 810,566,434]= 1/49742910
Therefore, the GCF of 66/810,126/566,505/434 is 1/49742910.
To find the highest common factor of 66,126,505, 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 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 505 are 1, 5, 101, 505
The HCF of 66,126,505 is 1.
Lets's calculate GCF of 66,126,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 66,126,505 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 126
:1,2,3,6,7,9,14,18,21,42,63,126
Now, list down the factors of 505
:1,5,101,505
Greatest Common Factor
We found the factors 66,126,505 . The biggest common factor number is the GCF number.
So the greatest common factor 66,126,505 is 1.
Lets's calculate LCM of 810,566,434
| 2 | 810, 566, 434 |
| 405, 283, 217 |
∴ So the LCM of the given numbers is 2 x 405 x 283 x 217 = 49742910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49742910
Therefore, the GCF of Fractions 66/810,126/566,505/434 is 1/49742910
Least Common Multiple of 810,566,434 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 810,566,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,566,434) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(810,566,434) x common factors =2 x 2 = 4
LCM(810,566,434) = ( 810 × 566 × 434 ) / 4
LCM(810,566,434) = 198971640 / 4
LCM(810,566,434) = 49742910
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FAQs on GCF of Fractions of 66/810, 126/566, 505/434
1. What is the HCF of 66,126,505?
The HCF of 66,126,505 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 66/810, 126/566, 505/434?
Answer: GCF of Numerators as per given numbers 66/810, 126/566, 505/434 is
GCF of Numerators i.e. for 66,126,505 is 1
LCM of denominators i.e. for 810,566,434 is 49742910.
Thus, GCF of Fractions is 1/49742910.Finally, GCF of Fractions for 66/810, 126/566, 505/434 is 1/49742910.