GCF of 126/46, 808/539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 126/46, 808/539 i.e 2/24794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 126/46, 808/539.
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 126/46,808/539?
Given fractions are 126/46,808/539
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 126/46,808/539, numerators are 126,808
Denominators are 46,539
The GCF of 126,808 is 2 .
LCM of 46,539 is 24794.
The greatest common factor of 126/46,808/539 = [GCF of 126,808]/[LCM of 46,539]= 2/24794
Therefore, the GCF of 126/46,808/539 is 2/24794.
To find the highest common factor of 126,808, we have to find the factors of both numbers and list the highest common factor.
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 126,808 is 2.
Lets's calculate GCF of 126,808
| 2 | 126, 808 |
| 63, 404 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 126,808 By Matching Biggest Common Factor Method
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 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 126,808 . The biggest common factor number is the GCF number.
So the greatest common factor 126,808 is 2.
Lets's calculate LCM of 46,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 24794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24794
Therefore, the GCF of Fractions 126/46,808/539 is 2/24794
Least Common Multiple of 46,539 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 46,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,539) x common factors =1 x 1 = 1
LCM(46,539) = ( 46 × 539 ) / 1
LCM(46,539) = 24794 / 1
LCM(46,539) = 24794
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FAQs on GCF of Fractions of 126/46, 808/539
1. What is the HCF of 126,808?
The HCF of 126,808 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 126/46, 808/539?
Answer: GCF of Numerators as per given numbers 126/46, 808/539 is
GCF of Numerators i.e. for 126,808 is 2
LCM of denominators i.e. for 46,539 is 24794.
Thus, GCF of Fractions is 2/24794.Finally, GCF of Fractions for 126/46, 808/539 is 2/24794.