GCF of 4255/302, 8949/6396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4255/302, 8949/6396 i.e 1/965796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4255/302, 8949/6396.
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 4255/302,8949/6396?
Given fractions are 4255/302,8949/6396
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 4255/302,8949/6396, numerators are 4255,8949
Denominators are 302,6396
The GCF of 4255,8949 is 1 .
LCM of 302,6396 is 965796.
The greatest common factor of 4255/302,8949/6396 = [GCF of 4255,8949]/[LCM of 302,6396]= 1/965796
Therefore, the GCF of 4255/302,8949/6396 is 1/965796.
To find the highest common factor of 4255,8949, we have to find the factors of both numbers and list the highest common factor.
The factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255
The factors of 8949 are 1, 3, 19, 57, 157, 471, 2983, 8949
The HCF of 4255,8949 is 1.
Lets's calculate GCF of 4255,8949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4255,8949 By Matching Biggest Common Factor Method
Now, list down the factors of 4255
:1,5,23,37,115,185,851,4255
Now, list down the factors of 8949
:1,3,19,57,157,471,2983,8949
Greatest Common Factor
We found the factors 4255,8949 . The biggest common factor number is the GCF number.
So the greatest common factor 4255,8949 is 1.
Lets's calculate LCM of 302,6396
| 2 | 302, 6396 |
| 151, 3198 |
∴ So the LCM of the given numbers is 2 x 151 x 3198 = 965796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/965796
Therefore, the GCF of Fractions 4255/302,8949/6396 is 1/965796
Least Common Multiple of 302,6396 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 302,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,6396) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,6396) x common factors =2 x 1 = 2
LCM(302,6396) = ( 302 × 6396 ) / 2
LCM(302,6396) = 1931592 / 2
LCM(302,6396) = 965796
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FAQs on GCF of Fractions of 4255/302, 8949/6396
1. What is the HCF of 4255,8949?
The HCF of 4255,8949 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 4255/302, 8949/6396?
Answer: GCF of Numerators as per given numbers 4255/302, 8949/6396 is
GCF of Numerators i.e. for 4255,8949 is 1
LCM of denominators i.e. for 302,6396 is 965796.
Thus, GCF of Fractions is 1/965796.Finally, GCF of Fractions for 4255/302, 8949/6396 is 1/965796.