GCF of 1496/507, 4904/6369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1496/507, 4904/6369 i.e 8/1076361 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1496/507, 4904/6369.
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 1496/507,4904/6369?
Given fractions are 1496/507,4904/6369
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 1496/507,4904/6369, numerators are 1496,4904
Denominators are 507,6369
The GCF of 1496,4904 is 8 .
LCM of 507,6369 is 1076361.
The greatest common factor of 1496/507,4904/6369 = [GCF of 1496,4904]/[LCM of 507,6369]= 8/1076361
Therefore, the GCF of 1496/507,4904/6369 is 8/1076361.
To find the highest common factor of 1496,4904, we have to find the factors of both numbers and list the highest common factor.
The factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496
The factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904
The HCF of 1496,4904 is 8.
Lets's calculate GCF of 1496,4904
| 2 | 1496, 4904 |
| 2 | 748, 2452 |
| 2 | 374, 1226 |
| 187, 613 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1496,4904 By Matching Biggest Common Factor Method
Now, list down the factors of 1496
:1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496
Now, list down the factors of 4904
:1,2,4,8,613,1226,2452,4904
Greatest Common Factor
We found the factors 1496,4904 . The biggest common factor number is the GCF number.
So the greatest common factor 1496,4904 is 8.
Lets's calculate LCM of 507,6369
| 3 | 507, 6369 |
| 169, 2123 |
∴ So the LCM of the given numbers is 3 x 169 x 2123 = 1076361
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1076361
Therefore, the GCF of Fractions 1496/507,4904/6369 is 8/1076361
Least Common Multiple of 507,6369 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 507,6369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,6369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,6369) x common factors =3 x 1 = 3
LCM(507,6369) = ( 507 × 6369 ) / 3
LCM(507,6369) = 3229083 / 3
LCM(507,6369) = 1076361
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FAQs on GCF of Fractions of 1496/507, 4904/6369
1. What is the HCF of 1496,4904?
The HCF of 1496,4904 is 8
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 1496/507, 4904/6369?
Answer: GCF of Numerators as per given numbers 1496/507, 4904/6369 is
GCF of Numerators i.e. for 1496,4904 is 8
LCM of denominators i.e. for 507,6369 is 1076361.
Thus, GCF of Fractions is 8/1076361.Finally, GCF of Fractions for 1496/507, 4904/6369 is 8/1076361.