GCF of 1373/724, 9321/1252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1373/724, 9321/1252 i.e 1/226612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1373/724, 9321/1252.
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 1373/724,9321/1252?
Given fractions are 1373/724,9321/1252
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 1373/724,9321/1252, numerators are 1373,9321
Denominators are 724,1252
The GCF of 1373,9321 is 1 .
LCM of 724,1252 is 226612.
The greatest common factor of 1373/724,9321/1252 = [GCF of 1373,9321]/[LCM of 724,1252]= 1/226612
Therefore, the GCF of 1373/724,9321/1252 is 1/226612.
To find the highest common factor of 1373,9321, we have to find the factors of both numbers and list the highest common factor.
The factors of 1373 are 1, 1373
The factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321
The HCF of 1373,9321 is 1.
Lets's calculate GCF of 1373,9321
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1373,9321 By Matching Biggest Common Factor Method
Now, list down the factors of 1373
:1,1373
Now, list down the factors of 9321
:1,3,13,39,239,717,3107,9321
Greatest Common Factor
We found the factors 1373,9321 . The biggest common factor number is the GCF number.
So the greatest common factor 1373,9321 is 1.
Lets's calculate LCM of 724,1252
| 2 | 724, 1252 |
| 2 | 362, 626 |
| 181, 313 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 313 = 226612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226612
Therefore, the GCF of Fractions 1373/724,9321/1252 is 1/226612
Least Common Multiple of 724,1252 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 724,1252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,1252) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,1252) x common factors =4 x 1 = 4
LCM(724,1252) = ( 724 × 1252 ) / 4
LCM(724,1252) = 906448 / 4
LCM(724,1252) = 226612
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FAQs on GCF of Fractions of 1373/724, 9321/1252
1. What is the HCF of 1373,9321?
The HCF of 1373,9321 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 1373/724, 9321/1252?
Answer: GCF of Numerators as per given numbers 1373/724, 9321/1252 is
GCF of Numerators i.e. for 1373,9321 is 1
LCM of denominators i.e. for 724,1252 is 226612.
Thus, GCF of Fractions is 1/226612.Finally, GCF of Fractions for 1373/724, 9321/1252 is 1/226612.