GCF of 92/536, 510/798, 431/810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/536, 510/798, 431/810 i.e 1/28871640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/536, 510/798, 431/810.
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 92/536,510/798,431/810?
Given fractions are 92/536,510/798,431/810
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 92/536,510/798,431/810, numerators are 92,510,431
Denominators are 536,798,810
The GCF of 92,510,431 is 1 .
LCM of 536,798,810 is 28871640.
The greatest common factor of 92/536,510/798,431/810 = [GCF of 92,510,431]/[LCM of 536,798,810]= 1/28871640
Therefore, the GCF of 92/536,510/798,431/810 is 1/28871640.
To find the highest common factor of 92,510,431, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The factors of 431 are 1, 431
The HCF of 92,510,431 is 1.
Lets's calculate GCF of 92,510,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,510,431 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Now, list down the factors of 431
:1,431
Greatest Common Factor
We found the factors 92,510,431 . The biggest common factor number is the GCF number.
So the greatest common factor 92,510,431 is 1.
Lets's calculate LCM of 536,798,810
| 2 | 536, 798, 810 |
| 3 | 268, 399, 405 |
| 268, 133, 135 |
∴ So the LCM of the given numbers is 2 x 3 x 268 x 133 x 135 = 28871640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28871640
Therefore, the GCF of Fractions 92/536,510/798,431/810 is 1/28871640
Least Common Multiple of 536,798,810 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 536,798,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,798,810) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(536,798,810) x common factors =2 x 6 = 12
LCM(536,798,810) = ( 536 × 798 × 810 ) / 12
LCM(536,798,810) = 346459680 / 12
LCM(536,798,810) = 28871640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 92/536, 510/798, 431/810
1. What is the HCF of 92,510,431?
The HCF of 92,510,431 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 92/536, 510/798, 431/810?
Answer: GCF of Numerators as per given numbers 92/536, 510/798, 431/810 is
GCF of Numerators i.e. for 92,510,431 is 1
LCM of denominators i.e. for 536,798,810 is 28871640.
Thus, GCF of Fractions is 1/28871640.Finally, GCF of Fractions for 92/536, 510/798, 431/810 is 1/28871640.