GCF of 621/904, 276/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 621/904, 276/841 i.e 69/760264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/904, 276/841.
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 621/904,276/841?
Given fractions are 621/904,276/841
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 621/904,276/841, numerators are 621,276
Denominators are 904,841
The GCF of 621,276 is 69 .
LCM of 904,841 is 760264.
The greatest common factor of 621/904,276/841 = [GCF of 621,276]/[LCM of 904,841]= 69/760264
Therefore, the GCF of 621/904,276/841 is 69/760264.
To find the highest common factor of 621,276, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 621,276 is 69.
Lets's calculate GCF of 621,276
| 3 | 621, 276 |
| 23 | 207, 92 |
| 9, 4 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 621,276 By Matching Biggest Common Factor Method
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 621,276 . The biggest common factor number is the GCF number.
So the greatest common factor 621,276 is 69.
Lets's calculate LCM of 904,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 760264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/760264
Therefore, the GCF of Fractions 621/904,276/841 is 69/760264
Least Common Multiple of 904,841 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 904,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,841) x common factors =1 x 1 = 1
LCM(904,841) = ( 904 × 841 ) / 1
LCM(904,841) = 760264 / 1
LCM(904,841) = 760264
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 621/904, 276/841
1. What is the HCF of 621,276?
The HCF of 621,276 is 69
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 621/904, 276/841?
Answer: GCF of Numerators as per given numbers 621/904, 276/841 is
GCF of Numerators i.e. for 621,276 is 69
LCM of denominators i.e. for 904,841 is 760264.
Thus, GCF of Fractions is 69/760264.Finally, GCF of Fractions for 621/904, 276/841 is 69/760264.