GCF of 501/534, 712/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/534, 712/538 i.e 1/143646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/534, 712/538.
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 501/534,712/538?
Given fractions are 501/534,712/538
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 501/534,712/538, numerators are 501,712
Denominators are 534,538
The GCF of 501,712 is 1 .
LCM of 534,538 is 143646.
The greatest common factor of 501/534,712/538 = [GCF of 501,712]/[LCM of 534,538]= 1/143646
Therefore, the GCF of 501/534,712/538 is 1/143646.
To find the highest common factor of 501,712, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The HCF of 501,712 is 1.
Lets's calculate GCF of 501,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 501,712 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 501,712 . The biggest common factor number is the GCF number.
So the greatest common factor 501,712 is 1.
Lets's calculate LCM of 534,538
| 2 | 534, 538 |
| 267, 269 |
∴ So the LCM of the given numbers is 2 x 267 x 269 = 143646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143646
Therefore, the GCF of Fractions 501/534,712/538 is 1/143646
Least Common Multiple of 534,538 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 534,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,538) x common factors =2 x 1 = 2
LCM(534,538) = ( 534 × 538 ) / 2
LCM(534,538) = 287292 / 2
LCM(534,538) = 143646
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FAQs on GCF of Fractions of 501/534, 712/538
1. What is the HCF of 501,712?
The HCF of 501,712 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 501/534, 712/538?
Answer: GCF of Numerators as per given numbers 501/534, 712/538 is
GCF of Numerators i.e. for 501,712 is 1
LCM of denominators i.e. for 534,538 is 143646.
Thus, GCF of Fractions is 1/143646.Finally, GCF of Fractions for 501/534, 712/538 is 1/143646.