GCF of 410/26, 292/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 410/26, 292/724 i.e 2/9412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/26, 292/724.
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 410/26,292/724?
Given fractions are 410/26,292/724
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 410/26,292/724, numerators are 410,292
Denominators are 26,724
The GCF of 410,292 is 2 .
LCM of 26,724 is 9412.
The greatest common factor of 410/26,292/724 = [GCF of 410,292]/[LCM of 26,724]= 2/9412
Therefore, the GCF of 410/26,292/724 is 2/9412.
To find the highest common factor of 410,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 410,292 is 2.
Lets's calculate GCF of 410,292
| 2 | 410, 292 |
| 205, 146 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 410,292 By Matching Biggest Common Factor Method
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 410,292 . The biggest common factor number is the GCF number.
So the greatest common factor 410,292 is 2.
Lets's calculate LCM of 26,724
| 2 | 26, 724 |
| 13, 362 |
∴ So the LCM of the given numbers is 2 x 13 x 362 = 9412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9412
Therefore, the GCF of Fractions 410/26,292/724 is 2/9412
Least Common Multiple of 26,724 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 26,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,724) x common factors =2 x 1 = 2
LCM(26,724) = ( 26 × 724 ) / 2
LCM(26,724) = 18824 / 2
LCM(26,724) = 9412
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 410/26, 292/724
1. What is the HCF of 410,292?
The HCF of 410,292 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 410/26, 292/724?
Answer: GCF of Numerators as per given numbers 410/26, 292/724 is
GCF of Numerators i.e. for 410,292 is 2
LCM of denominators i.e. for 26,724 is 9412.
Thus, GCF of Fractions is 2/9412.Finally, GCF of Fractions for 410/26, 292/724 is 2/9412.