GCF of 5887/572, 1932/4208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5887/572, 1932/4208 i.e 7/601744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5887/572, 1932/4208.
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 5887/572,1932/4208?
Given fractions are 5887/572,1932/4208
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 5887/572,1932/4208, numerators are 5887,1932
Denominators are 572,4208
The GCF of 5887,1932 is 7 .
LCM of 572,4208 is 601744.
The greatest common factor of 5887/572,1932/4208 = [GCF of 5887,1932]/[LCM of 572,4208]= 7/601744
Therefore, the GCF of 5887/572,1932/4208 is 7/601744.
To find the highest common factor of 5887,1932, we have to find the factors of both numbers and list the highest common factor.
The factors of 5887 are 1, 7, 29, 203, 841, 5887
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The HCF of 5887,1932 is 7.
Lets's calculate GCF of 5887,1932
| 7 | 5887, 1932 |
| 841, 276 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5887,1932 By Matching Biggest Common Factor Method
Now, list down the factors of 5887
:1,7,29,203,841,5887
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 5887,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 5887,1932 is 7.
Lets's calculate LCM of 572,4208
| 2 | 572, 4208 |
| 2 | 286, 2104 |
| 143, 1052 |
∴ So the LCM of the given numbers is 2 x 2 x 143 x 1052 = 601744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/601744
Therefore, the GCF of Fractions 5887/572,1932/4208 is 7/601744
Least Common Multiple of 572,4208 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 572,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,4208) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(572,4208) x common factors =4 x 1 = 4
LCM(572,4208) = ( 572 × 4208 ) / 4
LCM(572,4208) = 2406976 / 4
LCM(572,4208) = 601744
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FAQs on GCF of Fractions of 5887/572, 1932/4208
1. What is the HCF of 5887,1932?
The HCF of 5887,1932 is 7
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 5887/572, 1932/4208?
Answer: GCF of Numerators as per given numbers 5887/572, 1932/4208 is
GCF of Numerators i.e. for 5887,1932 is 7
LCM of denominators i.e. for 572,4208 is 601744.
Thus, GCF of Fractions is 7/601744.Finally, GCF of Fractions for 5887/572, 1932/4208 is 7/601744.