GCF of 3999/532, 5624/1092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3999/532, 5624/1092 i.e 1/20748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3999/532, 5624/1092.
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 3999/532,5624/1092?
Given fractions are 3999/532,5624/1092
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 3999/532,5624/1092, numerators are 3999,5624
Denominators are 532,1092
The GCF of 3999,5624 is 1 .
LCM of 532,1092 is 20748.
The greatest common factor of 3999/532,5624/1092 = [GCF of 3999,5624]/[LCM of 532,1092]= 1/20748
Therefore, the GCF of 3999/532,5624/1092 is 1/20748.
To find the highest common factor of 3999,5624, we have to find the factors of both numbers and list the highest common factor.
The factors of 3999 are 1, 3, 31, 43, 93, 129, 1333, 3999
The factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624
The HCF of 3999,5624 is 1.
Lets's calculate GCF of 3999,5624
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3999,5624 By Matching Biggest Common Factor Method
Now, list down the factors of 3999
:1,3,31,43,93,129,1333,3999
Now, list down the factors of 5624
:1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624
Greatest Common Factor
We found the factors 3999,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 3999,5624 is 1.
Lets's calculate LCM of 532,1092
| 2 | 532, 1092 |
| 2 | 266, 546 |
| 7 | 133, 273 |
| 19, 39 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 39 = 20748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20748
Therefore, the GCF of Fractions 3999/532,5624/1092 is 1/20748
Least Common Multiple of 532,1092 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 532,1092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,1092) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(532,1092) x common factors =28 x 1 = 28
LCM(532,1092) = ( 532 × 1092 ) / 28
LCM(532,1092) = 580944 / 28
LCM(532,1092) = 20748
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FAQs on GCF of Fractions of 3999/532, 5624/1092
1. What is the HCF of 3999,5624?
The HCF of 3999,5624 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 3999/532, 5624/1092?
Answer: GCF of Numerators as per given numbers 3999/532, 5624/1092 is
GCF of Numerators i.e. for 3999,5624 is 1
LCM of denominators i.e. for 532,1092 is 20748.
Thus, GCF of Fractions is 1/20748.Finally, GCF of Fractions for 3999/532, 5624/1092 is 1/20748.