GCF of 537/253, 205/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 537/253, 205/237 i.e 1/59961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/253, 205/237.
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 537/253,205/237?
Given fractions are 537/253,205/237
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 537/253,205/237, numerators are 537,205
Denominators are 253,237
The GCF of 537,205 is 1 .
LCM of 253,237 is 59961.
The greatest common factor of 537/253,205/237 = [GCF of 537,205]/[LCM of 253,237]= 1/59961
Therefore, the GCF of 537/253,205/237 is 1/59961.
To find the highest common factor of 537,205, we have to find the factors of both numbers and list the highest common factor.
The factors of 537 are 1, 3, 179, 537
The factors of 205 are 1, 5, 41, 205
The HCF of 537,205 is 1.
Lets's calculate GCF of 537,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 537,205 By Matching Biggest Common Factor Method
Now, list down the factors of 537
:1,3,179,537
Now, list down the factors of 205
:1,5,41,205
Greatest Common Factor
We found the factors 537,205 . The biggest common factor number is the GCF number.
So the greatest common factor 537,205 is 1.
Lets's calculate LCM of 253,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 59961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59961
Therefore, the GCF of Fractions 537/253,205/237 is 1/59961
Least Common Multiple of 253,237 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 253,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,237) x common factors =1 x 1 = 1
LCM(253,237) = ( 253 × 237 ) / 1
LCM(253,237) = 59961 / 1
LCM(253,237) = 59961
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FAQs on GCF of Fractions of 537/253, 205/237
1. What is the HCF of 537,205?
The HCF of 537,205 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 537/253, 205/237?
Answer: GCF of Numerators as per given numbers 537/253, 205/237 is
GCF of Numerators i.e. for 537,205 is 1
LCM of denominators i.e. for 253,237 is 59961.
Thus, GCF of Fractions is 1/59961.Finally, GCF of Fractions for 537/253, 205/237 is 1/59961.