GCF of 5883/560, 8404/8538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5883/560, 8404/8538 i.e 1/2390640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5883/560, 8404/8538.
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 5883/560,8404/8538?
Given fractions are 5883/560,8404/8538
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 5883/560,8404/8538, numerators are 5883,8404
Denominators are 560,8538
The GCF of 5883,8404 is 1 .
LCM of 560,8538 is 2390640.
The greatest common factor of 5883/560,8404/8538 = [GCF of 5883,8404]/[LCM of 560,8538]= 1/2390640
Therefore, the GCF of 5883/560,8404/8538 is 1/2390640.
To find the highest common factor of 5883,8404, we have to find the factors of both numbers and list the highest common factor.
The factors of 5883 are 1, 3, 37, 53, 111, 159, 1961, 5883
The factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404
The HCF of 5883,8404 is 1.
Lets's calculate GCF of 5883,8404
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5883,8404 By Matching Biggest Common Factor Method
Now, list down the factors of 5883
:1,3,37,53,111,159,1961,5883
Now, list down the factors of 8404
:1,2,4,11,22,44,191,382,764,2101,4202,8404
Greatest Common Factor
We found the factors 5883,8404 . The biggest common factor number is the GCF number.
So the greatest common factor 5883,8404 is 1.
Lets's calculate LCM of 560,8538
| 2 | 560, 8538 |
| 280, 4269 |
∴ So the LCM of the given numbers is 2 x 280 x 4269 = 2390640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2390640
Therefore, the GCF of Fractions 5883/560,8404/8538 is 1/2390640
Least Common Multiple of 560,8538 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 560,8538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,8538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(560,8538) x common factors =2 x 1 = 2
LCM(560,8538) = ( 560 × 8538 ) / 2
LCM(560,8538) = 4781280 / 2
LCM(560,8538) = 2390640
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FAQs on GCF of Fractions of 5883/560, 8404/8538
1. What is the HCF of 5883,8404?
The HCF of 5883,8404 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 5883/560, 8404/8538?
Answer: GCF of Numerators as per given numbers 5883/560, 8404/8538 is
GCF of Numerators i.e. for 5883,8404 is 1
LCM of denominators i.e. for 560,8538 is 2390640.
Thus, GCF of Fractions is 1/2390640.Finally, GCF of Fractions for 5883/560, 8404/8538 is 1/2390640.