GCF of 7598/809, 7506/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7598/809, 7506/229 i.e 2/185261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7598/809, 7506/229.
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 7598/809,7506/229?
Given fractions are 7598/809,7506/229
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 7598/809,7506/229, numerators are 7598,7506
Denominators are 809,229
The GCF of 7598,7506 is 2 .
LCM of 809,229 is 185261.
The greatest common factor of 7598/809,7506/229 = [GCF of 7598,7506]/[LCM of 809,229]= 2/185261
Therefore, the GCF of 7598/809,7506/229 is 2/185261.
To find the highest common factor of 7598,7506, we have to find the factors of both numbers and list the highest common factor.
The factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598
The factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506
The HCF of 7598,7506 is 2.
Lets's calculate GCF of 7598,7506
| 2 | 7598, 7506 |
| 3799, 3753 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7598,7506 By Matching Biggest Common Factor Method
Now, list down the factors of 7598
:1,2,29,58,131,262,3799,7598
Now, list down the factors of 7506
:1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Greatest Common Factor
We found the factors 7598,7506 . The biggest common factor number is the GCF number.
So the greatest common factor 7598,7506 is 2.
Lets's calculate LCM of 809,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 185261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/185261
Therefore, the GCF of Fractions 7598/809,7506/229 is 2/185261
Least Common Multiple of 809,229 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 809,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,229) x common factors =1 x 1 = 1
LCM(809,229) = ( 809 × 229 ) / 1
LCM(809,229) = 185261 / 1
LCM(809,229) = 185261
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FAQs on GCF of Fractions of 7598/809, 7506/229
1. What is the HCF of 7598,7506?
The HCF of 7598,7506 is 2
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 7598/809, 7506/229?
Answer: GCF of Numerators as per given numbers 7598/809, 7506/229 is
GCF of Numerators i.e. for 7598,7506 is 2
LCM of denominators i.e. for 809,229 is 185261.
Thus, GCF of Fractions is 2/185261.Finally, GCF of Fractions for 7598/809, 7506/229 is 2/185261.