GCF of 5439/652, 5592/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5439/652, 5592/574 i.e 3/187124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5439/652, 5592/574.
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 5439/652,5592/574?
Given fractions are 5439/652,5592/574
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 5439/652,5592/574, numerators are 5439,5592
Denominators are 652,574
The GCF of 5439,5592 is 3 .
LCM of 652,574 is 187124.
The greatest common factor of 5439/652,5592/574 = [GCF of 5439,5592]/[LCM of 652,574]= 3/187124
Therefore, the GCF of 5439/652,5592/574 is 3/187124.
To find the highest common factor of 5439,5592, we have to find the factors of both numbers and list the highest common factor.
The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439
The factors of 5592 are 1, 2, 3, 4, 6, 8, 12, 24, 233, 466, 699, 932, 1398, 1864, 2796, 5592
The HCF of 5439,5592 is 3.
Lets's calculate GCF of 5439,5592
| 3 | 5439, 5592 |
| 1813, 1864 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5439,5592 By Matching Biggest Common Factor Method
Now, list down the factors of 5439
:1,3,7,21,37,49,111,147,259,777,1813,5439
Now, list down the factors of 5592
:1,2,3,4,6,8,12,24,233,466,699,932,1398,1864,2796,5592
Greatest Common Factor
We found the factors 5439,5592 . The biggest common factor number is the GCF number.
So the greatest common factor 5439,5592 is 3.
Lets's calculate LCM of 652,574
| 2 | 652, 574 |
| 326, 287 |
∴ So the LCM of the given numbers is 2 x 326 x 287 = 187124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/187124
Therefore, the GCF of Fractions 5439/652,5592/574 is 3/187124
Least Common Multiple of 652,574 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 652,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,574) x common factors =2 x 1 = 2
LCM(652,574) = ( 652 × 574 ) / 2
LCM(652,574) = 374248 / 2
LCM(652,574) = 187124
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FAQs on GCF of Fractions of 5439/652, 5592/574
1. What is the HCF of 5439,5592?
The HCF of 5439,5592 is 3
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 5439/652, 5592/574?
Answer: GCF of Numerators as per given numbers 5439/652, 5592/574 is
GCF of Numerators i.e. for 5439,5592 is 3
LCM of denominators i.e. for 652,574 is 187124.
Thus, GCF of Fractions is 3/187124.Finally, GCF of Fractions for 5439/652, 5592/574 is 3/187124.