GCF of 501/326, 8472/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/326, 8472/540 i.e 3/88020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/326, 8472/540.
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 501/326,8472/540?
Given fractions are 501/326,8472/540
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 501/326,8472/540, numerators are 501,8472
Denominators are 326,540
The GCF of 501,8472 is 3 .
LCM of 326,540 is 88020.
The greatest common factor of 501/326,8472/540 = [GCF of 501,8472]/[LCM of 326,540]= 3/88020
Therefore, the GCF of 501/326,8472/540 is 3/88020.
To find the highest common factor of 501,8472, 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 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The HCF of 501,8472 is 3.
Lets's calculate GCF of 501,8472
| 3 | 501, 8472 |
| 167, 2824 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 501,8472 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Greatest Common Factor
We found the factors 501,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 501,8472 is 3.
Lets's calculate LCM of 326,540
| 2 | 326, 540 |
| 163, 270 |
∴ So the LCM of the given numbers is 2 x 163 x 270 = 88020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/88020
Therefore, the GCF of Fractions 501/326,8472/540 is 3/88020
Least Common Multiple of 326,540 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 326,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,540) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,540) x common factors =2 x 1 = 2
LCM(326,540) = ( 326 × 540 ) / 2
LCM(326,540) = 176040 / 2
LCM(326,540) = 88020
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FAQs on GCF of Fractions of 501/326, 8472/540
1. What is the HCF of 501,8472?
The HCF of 501,8472 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 501/326, 8472/540?
Answer: GCF of Numerators as per given numbers 501/326, 8472/540 is
GCF of Numerators i.e. for 501,8472 is 3
LCM of denominators i.e. for 326,540 is 88020.
Thus, GCF of Fractions is 3/88020.Finally, GCF of Fractions for 501/326, 8472/540 is 3/88020.