GCF of 1537/270, 5721/6072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1537/270, 5721/6072 i.e 1/273240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1537/270, 5721/6072.
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 1537/270,5721/6072?
Given fractions are 1537/270,5721/6072
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 1537/270,5721/6072, numerators are 1537,5721
Denominators are 270,6072
The GCF of 1537,5721 is 1 .
LCM of 270,6072 is 273240.
The greatest common factor of 1537/270,5721/6072 = [GCF of 1537,5721]/[LCM of 270,6072]= 1/273240
Therefore, the GCF of 1537/270,5721/6072 is 1/273240.
To find the highest common factor of 1537,5721, we have to find the factors of both numbers and list the highest common factor.
The factors of 1537 are 1, 29, 53, 1537
The factors of 5721 are 1, 3, 1907, 5721
The HCF of 1537,5721 is 1.
Lets's calculate GCF of 1537,5721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1537,5721 By Matching Biggest Common Factor Method
Now, list down the factors of 1537
:1,29,53,1537
Now, list down the factors of 5721
:1,3,1907,5721
Greatest Common Factor
We found the factors 1537,5721 . The biggest common factor number is the GCF number.
So the greatest common factor 1537,5721 is 1.
Lets's calculate LCM of 270,6072
| 2 | 270, 6072 |
| 3 | 135, 3036 |
| 45, 1012 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 1012 = 273240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273240
Therefore, the GCF of Fractions 1537/270,5721/6072 is 1/273240
Least Common Multiple of 270,6072 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 270,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,6072) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(270,6072) x common factors =6 x 1 = 6
LCM(270,6072) = ( 270 × 6072 ) / 6
LCM(270,6072) = 1639440 / 6
LCM(270,6072) = 273240
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FAQs on GCF of Fractions of 1537/270, 5721/6072
1. What is the HCF of 1537,5721?
The HCF of 1537,5721 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 1537/270, 5721/6072?
Answer: GCF of Numerators as per given numbers 1537/270, 5721/6072 is
GCF of Numerators i.e. for 1537,5721 is 1
LCM of denominators i.e. for 270,6072 is 273240.
Thus, GCF of Fractions is 1/273240.Finally, GCF of Fractions for 1537/270, 5721/6072 is 1/273240.