GCF of 7676/648, 4905/8532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7676/648, 4905/8532 i.e 1/51192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7676/648, 4905/8532.
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 7676/648,4905/8532?
Given fractions are 7676/648,4905/8532
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 7676/648,4905/8532, numerators are 7676,4905
Denominators are 648,8532
The GCF of 7676,4905 is 1 .
LCM of 648,8532 is 51192.
The greatest common factor of 7676/648,4905/8532 = [GCF of 7676,4905]/[LCM of 648,8532]= 1/51192
Therefore, the GCF of 7676/648,4905/8532 is 1/51192.
To find the highest common factor of 7676,4905, we have to find the factors of both numbers and list the highest common factor.
The factors of 7676 are 1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676
The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905
The HCF of 7676,4905 is 1.
Lets's calculate GCF of 7676,4905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7676,4905 By Matching Biggest Common Factor Method
Now, list down the factors of 7676
:1,2,4,19,38,76,101,202,404,1919,3838,7676
Now, list down the factors of 4905
:1,3,5,9,15,45,109,327,545,981,1635,4905
Greatest Common Factor
We found the factors 7676,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 7676,4905 is 1.
Lets's calculate LCM of 648,8532
| 2 | 648, 8532 |
| 2 | 324, 4266 |
| 3 | 162, 2133 |
| 3 | 54, 711 |
| 3 | 18, 237 |
| 6, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 6 x 79 = 51192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51192
Therefore, the GCF of Fractions 7676/648,4905/8532 is 1/51192
Least Common Multiple of 648,8532 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 648,8532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,8532) = 108
common factors(in case of two or more numbers have common factors) = 1
GCF(648,8532) x common factors =108 x 1 = 108
LCM(648,8532) = ( 648 × 8532 ) / 108
LCM(648,8532) = 5528736 / 108
LCM(648,8532) = 51192
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FAQs on GCF of Fractions of 7676/648, 4905/8532
1. What is the HCF of 7676,4905?
The HCF of 7676,4905 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 7676/648, 4905/8532?
Answer: GCF of Numerators as per given numbers 7676/648, 4905/8532 is
GCF of Numerators i.e. for 7676,4905 is 1
LCM of denominators i.e. for 648,8532 is 51192.
Thus, GCF of Fractions is 1/51192.Finally, GCF of Fractions for 7676/648, 4905/8532 is 1/51192.