GCF of 7695/508, 7677/1462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7695/508, 7677/1462 i.e 9/371348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7695/508, 7677/1462.
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 7695/508,7677/1462?
Given fractions are 7695/508,7677/1462
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 7695/508,7677/1462, numerators are 7695,7677
Denominators are 508,1462
The GCF of 7695,7677 is 9 .
LCM of 508,1462 is 371348.
The greatest common factor of 7695/508,7677/1462 = [GCF of 7695,7677]/[LCM of 508,1462]= 9/371348
Therefore, the GCF of 7695/508,7677/1462 is 9/371348.
To find the highest common factor of 7695,7677, we have to find the factors of both numbers and list the highest common factor.
The factors of 7695 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 81, 95, 135, 171, 285, 405, 513, 855, 1539, 2565, 7695
The factors of 7677 are 1, 3, 9, 853, 2559, 7677
The HCF of 7695,7677 is 9.
Lets's calculate GCF of 7695,7677
| 3 | 7695, 7677 |
| 3 | 2565, 2559 |
| 855, 853 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7695,7677 By Matching Biggest Common Factor Method
Now, list down the factors of 7695
:1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695
Now, list down the factors of 7677
:1,3,9,853,2559,7677
Greatest Common Factor
We found the factors 7695,7677 . The biggest common factor number is the GCF number.
So the greatest common factor 7695,7677 is 9.
Lets's calculate LCM of 508,1462
| 2 | 508, 1462 |
| 254, 731 |
∴ So the LCM of the given numbers is 2 x 254 x 731 = 371348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/371348
Therefore, the GCF of Fractions 7695/508,7677/1462 is 9/371348
Least Common Multiple of 508,1462 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 508,1462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,1462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,1462) x common factors =2 x 1 = 2
LCM(508,1462) = ( 508 × 1462 ) / 2
LCM(508,1462) = 742696 / 2
LCM(508,1462) = 371348
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FAQs on GCF of Fractions of 7695/508, 7677/1462
1. What is the HCF of 7695,7677?
The HCF of 7695,7677 is 9
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 7695/508, 7677/1462?
Answer: GCF of Numerators as per given numbers 7695/508, 7677/1462 is
GCF of Numerators i.e. for 7695,7677 is 9
LCM of denominators i.e. for 508,1462 is 371348.
Thus, GCF of Fractions is 9/371348.Finally, GCF of Fractions for 7695/508, 7677/1462 is 9/371348.