GCF of 4488/356, 8407/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4488/356, 8407/538 i.e 1/95764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4488/356, 8407/538.
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 4488/356,8407/538?
Given fractions are 4488/356,8407/538
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 4488/356,8407/538, numerators are 4488,8407
Denominators are 356,538
The GCF of 4488,8407 is 1 .
LCM of 356,538 is 95764.
The greatest common factor of 4488/356,8407/538 = [GCF of 4488,8407]/[LCM of 356,538]= 1/95764
Therefore, the GCF of 4488/356,8407/538 is 1/95764.
To find the highest common factor of 4488,8407, we have to find the factors of both numbers and list the highest common factor.
The factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488
The factors of 8407 are 1, 7, 1201, 8407
The HCF of 4488,8407 is 1.
Lets's calculate GCF of 4488,8407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4488,8407 By Matching Biggest Common Factor Method
Now, list down the factors of 4488
:1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488
Now, list down the factors of 8407
:1,7,1201,8407
Greatest Common Factor
We found the factors 4488,8407 . The biggest common factor number is the GCF number.
So the greatest common factor 4488,8407 is 1.
Lets's calculate LCM of 356,538
| 2 | 356, 538 |
| 178, 269 |
∴ So the LCM of the given numbers is 2 x 178 x 269 = 95764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95764
Therefore, the GCF of Fractions 4488/356,8407/538 is 1/95764
Least Common Multiple of 356,538 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 356,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(356,538) x common factors =2 x 1 = 2
LCM(356,538) = ( 356 × 538 ) / 2
LCM(356,538) = 191528 / 2
LCM(356,538) = 95764
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FAQs on GCF of Fractions of 4488/356, 8407/538
1. What is the HCF of 4488,8407?
The HCF of 4488,8407 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 4488/356, 8407/538?
Answer: GCF of Numerators as per given numbers 4488/356, 8407/538 is
GCF of Numerators i.e. for 4488,8407 is 1
LCM of denominators i.e. for 356,538 is 95764.
Thus, GCF of Fractions is 1/95764.Finally, GCF of Fractions for 4488/356, 8407/538 is 1/95764.