GCF of 3733/172, 1260/7291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3733/172, 1260/7291 i.e 1/1254052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3733/172, 1260/7291.
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 3733/172,1260/7291?
Given fractions are 3733/172,1260/7291
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 3733/172,1260/7291, numerators are 3733,1260
Denominators are 172,7291
The GCF of 3733,1260 is 1 .
LCM of 172,7291 is 1254052.
The greatest common factor of 3733/172,1260/7291 = [GCF of 3733,1260]/[LCM of 172,7291]= 1/1254052
Therefore, the GCF of 3733/172,1260/7291 is 1/1254052.
To find the highest common factor of 3733,1260, we have to find the factors of both numbers and list the highest common factor.
The factors of 3733 are 1, 3733
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
The HCF of 3733,1260 is 1.
Lets's calculate GCF of 3733,1260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3733,1260 By Matching Biggest Common Factor Method
Now, list down the factors of 3733
:1,3733
Now, list down the factors of 1260
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Greatest Common Factor
We found the factors 3733,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 3733,1260 is 1.
Lets's calculate LCM of 172,7291
Given numbers has no common factors except 1. So, there LCM is their product i.e 1254052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1254052
Therefore, the GCF of Fractions 3733/172,1260/7291 is 1/1254052
Least Common Multiple of 172,7291 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 172,7291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,7291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,7291) x common factors =1 x 1 = 1
LCM(172,7291) = ( 172 × 7291 ) / 1
LCM(172,7291) = 1254052 / 1
LCM(172,7291) = 1254052
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FAQs on GCF of Fractions of 3733/172, 1260/7291
1. What is the HCF of 3733,1260?
The HCF of 3733,1260 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 3733/172, 1260/7291?
Answer: GCF of Numerators as per given numbers 3733/172, 1260/7291 is
GCF of Numerators i.e. for 3733,1260 is 1
LCM of denominators i.e. for 172,7291 is 1254052.
Thus, GCF of Fractions is 1/1254052.Finally, GCF of Fractions for 3733/172, 1260/7291 is 1/1254052.