GCF of 7766/624, 7158/9926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7766/624, 7158/9926 i.e 2/3096912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7766/624, 7158/9926.
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 7766/624,7158/9926?
Given fractions are 7766/624,7158/9926
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 7766/624,7158/9926, numerators are 7766,7158
Denominators are 624,9926
The GCF of 7766,7158 is 2 .
LCM of 624,9926 is 3096912.
The greatest common factor of 7766/624,7158/9926 = [GCF of 7766,7158]/[LCM of 624,9926]= 2/3096912
Therefore, the GCF of 7766/624,7158/9926 is 2/3096912.
To find the highest common factor of 7766,7158, we have to find the factors of both numbers and list the highest common factor.
The factors of 7766 are 1, 2, 11, 22, 353, 706, 3883, 7766
The factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158
The HCF of 7766,7158 is 2.
Lets's calculate GCF of 7766,7158
| 2 | 7766, 7158 |
| 3883, 3579 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7766,7158 By Matching Biggest Common Factor Method
Now, list down the factors of 7766
:1,2,11,22,353,706,3883,7766
Now, list down the factors of 7158
:1,2,3,6,1193,2386,3579,7158
Greatest Common Factor
We found the factors 7766,7158 . The biggest common factor number is the GCF number.
So the greatest common factor 7766,7158 is 2.
Lets's calculate LCM of 624,9926
| 2 | 624, 9926 |
| 312, 4963 |
∴ So the LCM of the given numbers is 2 x 312 x 4963 = 3096912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3096912
Therefore, the GCF of Fractions 7766/624,7158/9926 is 2/3096912
Least Common Multiple of 624,9926 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 624,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,9926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(624,9926) x common factors =2 x 1 = 2
LCM(624,9926) = ( 624 × 9926 ) / 2
LCM(624,9926) = 6193824 / 2
LCM(624,9926) = 3096912
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FAQs on GCF of Fractions of 7766/624, 7158/9926
1. What is the HCF of 7766,7158?
The HCF of 7766,7158 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 7766/624, 7158/9926?
Answer: GCF of Numerators as per given numbers 7766/624, 7158/9926 is
GCF of Numerators i.e. for 7766,7158 is 2
LCM of denominators i.e. for 624,9926 is 3096912.
Thus, GCF of Fractions is 2/3096912.Finally, GCF of Fractions for 7766/624, 7158/9926 is 2/3096912.