GCF of 2455/918, 8032/527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2455/918, 8032/527 i.e 1/28458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2455/918, 8032/527.
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 2455/918,8032/527?
Given fractions are 2455/918,8032/527
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 2455/918,8032/527, numerators are 2455,8032
Denominators are 918,527
The GCF of 2455,8032 is 1 .
LCM of 918,527 is 28458.
The greatest common factor of 2455/918,8032/527 = [GCF of 2455,8032]/[LCM of 918,527]= 1/28458
Therefore, the GCF of 2455/918,8032/527 is 1/28458.
To find the highest common factor of 2455,8032, we have to find the factors of both numbers and list the highest common factor.
The factors of 2455 are 1, 5, 491, 2455
The factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032
The HCF of 2455,8032 is 1.
Lets's calculate GCF of 2455,8032
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2455,8032 By Matching Biggest Common Factor Method
Now, list down the factors of 2455
:1,5,491,2455
Now, list down the factors of 8032
:1,2,4,8,16,32,251,502,1004,2008,4016,8032
Greatest Common Factor
We found the factors 2455,8032 . The biggest common factor number is the GCF number.
So the greatest common factor 2455,8032 is 1.
Lets's calculate LCM of 918,527
| 17 | 918, 527 |
| 54, 31 |
∴ So the LCM of the given numbers is 17 x 54 x 31 = 28458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28458
Therefore, the GCF of Fractions 2455/918,8032/527 is 1/28458
Least Common Multiple of 918,527 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 918,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,527) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(918,527) x common factors =17 x 1 = 17
LCM(918,527) = ( 918 × 527 ) / 17
LCM(918,527) = 483786 / 17
LCM(918,527) = 28458
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FAQs on GCF of Fractions of 2455/918, 8032/527
1. What is the HCF of 2455,8032?
The HCF of 2455,8032 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 2455/918, 8032/527?
Answer: GCF of Numerators as per given numbers 2455/918, 8032/527 is
GCF of Numerators i.e. for 2455,8032 is 1
LCM of denominators i.e. for 918,527 is 28458.
Thus, GCF of Fractions is 1/28458.Finally, GCF of Fractions for 2455/918, 8032/527 is 1/28458.