GCF of 537/838, 797/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 537/838, 797/454 i.e 1/190226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/838, 797/454.
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 537/838,797/454?
Given fractions are 537/838,797/454
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 537/838,797/454, numerators are 537,797
Denominators are 838,454
The GCF of 537,797 is 1 .
LCM of 838,454 is 190226.
The greatest common factor of 537/838,797/454 = [GCF of 537,797]/[LCM of 838,454]= 1/190226
Therefore, the GCF of 537/838,797/454 is 1/190226.
To find the highest common factor of 537,797, we have to find the factors of both numbers and list the highest common factor.
The factors of 537 are 1, 3, 179, 537
The factors of 797 are 1, 797
The HCF of 537,797 is 1.
Lets's calculate GCF of 537,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 537,797 By Matching Biggest Common Factor Method
Now, list down the factors of 537
:1,3,179,537
Now, list down the factors of 797
:1,797
Greatest Common Factor
We found the factors 537,797 . The biggest common factor number is the GCF number.
So the greatest common factor 537,797 is 1.
Lets's calculate LCM of 838,454
| 2 | 838, 454 |
| 419, 227 |
∴ So the LCM of the given numbers is 2 x 419 x 227 = 190226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190226
Therefore, the GCF of Fractions 537/838,797/454 is 1/190226
Least Common Multiple of 838,454 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 838,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,454) x common factors =2 x 1 = 2
LCM(838,454) = ( 838 × 454 ) / 2
LCM(838,454) = 380452 / 2
LCM(838,454) = 190226
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FAQs on GCF of Fractions of 537/838, 797/454
1. What is the HCF of 537,797?
The HCF of 537,797 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 537/838, 797/454?
Answer: GCF of Numerators as per given numbers 537/838, 797/454 is
GCF of Numerators i.e. for 537,797 is 1
LCM of denominators i.e. for 838,454 is 190226.
Thus, GCF of Fractions is 1/190226.Finally, GCF of Fractions for 537/838, 797/454 is 1/190226.