GCF of 421/42, 501/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 421/42, 501/536 i.e 1/11256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 421/42, 501/536.
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 421/42,501/536?
Given fractions are 421/42,501/536
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 421/42,501/536, numerators are 421,501
Denominators are 42,536
The GCF of 421,501 is 1 .
LCM of 42,536 is 11256.
The greatest common factor of 421/42,501/536 = [GCF of 421,501]/[LCM of 42,536]= 1/11256
Therefore, the GCF of 421/42,501/536 is 1/11256.
To find the highest common factor of 421,501, we have to find the factors of both numbers and list the highest common factor.
The factors of 421 are 1, 421
The factors of 501 are 1, 3, 167, 501
The HCF of 421,501 is 1.
Lets's calculate GCF of 421,501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 421,501 By Matching Biggest Common Factor Method
Now, list down the factors of 421
:1,421
Now, list down the factors of 501
:1,3,167,501
Greatest Common Factor
We found the factors 421,501 . The biggest common factor number is the GCF number.
So the greatest common factor 421,501 is 1.
Lets's calculate LCM of 42,536
| 2 | 42, 536 |
| 21, 268 |
∴ So the LCM of the given numbers is 2 x 21 x 268 = 11256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11256
Therefore, the GCF of Fractions 421/42,501/536 is 1/11256
Least Common Multiple of 42,536 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 42,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,536) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,536) x common factors =2 x 1 = 2
LCM(42,536) = ( 42 × 536 ) / 2
LCM(42,536) = 22512 / 2
LCM(42,536) = 11256
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FAQs on GCF of Fractions of 421/42, 501/536
1. What is the HCF of 421,501?
The HCF of 421,501 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 421/42, 501/536?
Answer: GCF of Numerators as per given numbers 421/42, 501/536 is
GCF of Numerators i.e. for 421,501 is 1
LCM of denominators i.e. for 42,536 is 11256.
Thus, GCF of Fractions is 1/11256.Finally, GCF of Fractions for 421/42, 501/536 is 1/11256.