GCF of 4918/257, 7912/477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4918/257, 7912/477 i.e 2/122589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4918/257, 7912/477.
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 4918/257,7912/477?
Given fractions are 4918/257,7912/477
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 4918/257,7912/477, numerators are 4918,7912
Denominators are 257,477
The GCF of 4918,7912 is 2 .
LCM of 257,477 is 122589.
The greatest common factor of 4918/257,7912/477 = [GCF of 4918,7912]/[LCM of 257,477]= 2/122589
Therefore, the GCF of 4918/257,7912/477 is 2/122589.
To find the highest common factor of 4918,7912, we have to find the factors of both numbers and list the highest common factor.
The factors of 4918 are 1, 2, 2459, 4918
The factors of 7912 are 1, 2, 4, 8, 23, 43, 46, 86, 92, 172, 184, 344, 989, 1978, 3956, 7912
The HCF of 4918,7912 is 2.
Lets's calculate GCF of 4918,7912
| 2 | 4918, 7912 |
| 2459, 3956 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4918,7912 By Matching Biggest Common Factor Method
Now, list down the factors of 4918
:1,2,2459,4918
Now, list down the factors of 7912
:1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912
Greatest Common Factor
We found the factors 4918,7912 . The biggest common factor number is the GCF number.
So the greatest common factor 4918,7912 is 2.
Lets's calculate LCM of 257,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 122589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122589
Therefore, the GCF of Fractions 4918/257,7912/477 is 2/122589
Least Common Multiple of 257,477 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 257,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,477) x common factors =1 x 1 = 1
LCM(257,477) = ( 257 × 477 ) / 1
LCM(257,477) = 122589 / 1
LCM(257,477) = 122589
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FAQs on GCF of Fractions of 4918/257, 7912/477
1. What is the HCF of 4918,7912?
The HCF of 4918,7912 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 4918/257, 7912/477?
Answer: GCF of Numerators as per given numbers 4918/257, 7912/477 is
GCF of Numerators i.e. for 4918,7912 is 2
LCM of denominators i.e. for 257,477 is 122589.
Thus, GCF of Fractions is 2/122589.Finally, GCF of Fractions for 4918/257, 7912/477 is 2/122589.