GCF of 504/841, 141/621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 504/841, 141/621 i.e 3/522261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/841, 141/621.
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 504/841,141/621?
Given fractions are 504/841,141/621
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 504/841,141/621, numerators are 504,141
Denominators are 841,621
The GCF of 504,141 is 3 .
LCM of 841,621 is 522261.
The greatest common factor of 504/841,141/621 = [GCF of 504,141]/[LCM of 841,621]= 3/522261
Therefore, the GCF of 504/841,141/621 is 3/522261.
To find the highest common factor of 504,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The factors of 141 are 1, 3, 47, 141
The HCF of 504,141 is 3.
Lets's calculate GCF of 504,141
| 3 | 504, 141 |
| 168, 47 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 504,141 By Matching Biggest Common Factor Method
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 504,141 . The biggest common factor number is the GCF number.
So the greatest common factor 504,141 is 3.
Lets's calculate LCM of 841,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 522261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/522261
Therefore, the GCF of Fractions 504/841,141/621 is 3/522261
Least Common Multiple of 841,621 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 841,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,621) x common factors =1 x 1 = 1
LCM(841,621) = ( 841 × 621 ) / 1
LCM(841,621) = 522261 / 1
LCM(841,621) = 522261
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FAQs on GCF of Fractions of 504/841, 141/621
1. What is the HCF of 504,141?
The HCF of 504,141 is 3
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 504/841, 141/621?
Answer: GCF of Numerators as per given numbers 504/841, 141/621 is
GCF of Numerators i.e. for 504,141 is 3
LCM of denominators i.e. for 841,621 is 522261.
Thus, GCF of Fractions is 3/522261.Finally, GCF of Fractions for 504/841, 141/621 is 3/522261.