GCF of 7673/537, 2437/7551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7673/537, 2437/7551 i.e 1/1351629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7673/537, 2437/7551.
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 7673/537,2437/7551?
Given fractions are 7673/537,2437/7551
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 7673/537,2437/7551, numerators are 7673,2437
Denominators are 537,7551
The GCF of 7673,2437 is 1 .
LCM of 537,7551 is 1351629.
The greatest common factor of 7673/537,2437/7551 = [GCF of 7673,2437]/[LCM of 537,7551]= 1/1351629
Therefore, the GCF of 7673/537,2437/7551 is 1/1351629.
To find the highest common factor of 7673,2437, we have to find the factors of both numbers and list the highest common factor.
The factors of 7673 are 1, 7673
The factors of 2437 are 1, 2437
The HCF of 7673,2437 is 1.
Lets's calculate GCF of 7673,2437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7673,2437 By Matching Biggest Common Factor Method
Now, list down the factors of 7673
:1,7673
Now, list down the factors of 2437
:1,2437
Greatest Common Factor
We found the factors 7673,2437 . The biggest common factor number is the GCF number.
So the greatest common factor 7673,2437 is 1.
Lets's calculate LCM of 537,7551
| 3 | 537, 7551 |
| 179, 2517 |
∴ So the LCM of the given numbers is 3 x 179 x 2517 = 1351629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1351629
Therefore, the GCF of Fractions 7673/537,2437/7551 is 1/1351629
Least Common Multiple of 537,7551 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 537,7551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,7551) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(537,7551) x common factors =3 x 1 = 3
LCM(537,7551) = ( 537 × 7551 ) / 3
LCM(537,7551) = 4054887 / 3
LCM(537,7551) = 1351629
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FAQs on GCF of Fractions of 7673/537, 2437/7551
1. What is the HCF of 7673,2437?
The HCF of 7673,2437 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 7673/537, 2437/7551?
Answer: GCF of Numerators as per given numbers 7673/537, 2437/7551 is
GCF of Numerators i.e. for 7673,2437 is 1
LCM of denominators i.e. for 537,7551 is 1351629.
Thus, GCF of Fractions is 1/1351629.Finally, GCF of Fractions for 7673/537, 2437/7551 is 1/1351629.