GCF of 5885/874, 8530/4068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5885/874, 8530/4068 i.e 5/1777716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5885/874, 8530/4068.
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 5885/874,8530/4068?
Given fractions are 5885/874,8530/4068
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 5885/874,8530/4068, numerators are 5885,8530
Denominators are 874,4068
The GCF of 5885,8530 is 5 .
LCM of 874,4068 is 1777716.
The greatest common factor of 5885/874,8530/4068 = [GCF of 5885,8530]/[LCM of 874,4068]= 5/1777716
Therefore, the GCF of 5885/874,8530/4068 is 5/1777716.
To find the highest common factor of 5885,8530, we have to find the factors of both numbers and list the highest common factor.
The factors of 5885 are 1, 5, 11, 55, 107, 535, 1177, 5885
The factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530
The HCF of 5885,8530 is 5.
Lets's calculate GCF of 5885,8530
| 5 | 5885, 8530 |
| 1177, 1706 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5885,8530 By Matching Biggest Common Factor Method
Now, list down the factors of 5885
:1,5,11,55,107,535,1177,5885
Now, list down the factors of 8530
:1,2,5,10,853,1706,4265,8530
Greatest Common Factor
We found the factors 5885,8530 . The biggest common factor number is the GCF number.
So the greatest common factor 5885,8530 is 5.
Lets's calculate LCM of 874,4068
| 2 | 874, 4068 |
| 437, 2034 |
∴ So the LCM of the given numbers is 2 x 437 x 2034 = 1777716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1777716
Therefore, the GCF of Fractions 5885/874,8530/4068 is 5/1777716
Least Common Multiple of 874,4068 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 874,4068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,4068) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,4068) x common factors =2 x 1 = 2
LCM(874,4068) = ( 874 × 4068 ) / 2
LCM(874,4068) = 3555432 / 2
LCM(874,4068) = 1777716
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FAQs on GCF of Fractions of 5885/874, 8530/4068
1. What is the HCF of 5885,8530?
The HCF of 5885,8530 is 5
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 5885/874, 8530/4068?
Answer: GCF of Numerators as per given numbers 5885/874, 8530/4068 is
GCF of Numerators i.e. for 5885,8530 is 5
LCM of denominators i.e. for 874,4068 is 1777716.
Thus, GCF of Fractions is 5/1777716.Finally, GCF of Fractions for 5885/874, 8530/4068 is 5/1777716.