GCF of 5967/588, 1836/894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5967/588, 1836/894 i.e 459/87612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5967/588, 1836/894.
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 5967/588,1836/894?
Given fractions are 5967/588,1836/894
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 5967/588,1836/894, numerators are 5967,1836
Denominators are 588,894
The GCF of 5967,1836 is 459 .
LCM of 588,894 is 87612.
The greatest common factor of 5967/588,1836/894 = [GCF of 5967,1836]/[LCM of 588,894]= 459/87612
Therefore, the GCF of 5967/588,1836/894 is 459/87612.
To find the highest common factor of 5967,1836, we have to find the factors of both numbers and list the highest common factor.
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
The factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836
The HCF of 5967,1836 is 459.
Lets's calculate GCF of 5967,1836
| 3 | 5967, 1836 |
| 3 | 1989, 612 |
| 3 | 663, 204 |
| 17 | 221, 68 |
| 13, 4 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 17 = 459
Greatest Common Factor of 5967,1836 By Matching Biggest Common Factor Method
Now, list down the factors of 5967
:1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967
Now, list down the factors of 1836
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Greatest Common Factor
We found the factors 5967,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 5967,1836 is 459.
Lets's calculate LCM of 588,894
| 2 | 588, 894 |
| 3 | 294, 447 |
| 98, 149 |
∴ So the LCM of the given numbers is 2 x 3 x 98 x 149 = 87612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 459/87612
Therefore, the GCF of Fractions 5967/588,1836/894 is 459/87612
Least Common Multiple of 588,894 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 588,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,894) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(588,894) x common factors =6 x 1 = 6
LCM(588,894) = ( 588 × 894 ) / 6
LCM(588,894) = 525672 / 6
LCM(588,894) = 87612
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FAQs on GCF of Fractions of 5967/588, 1836/894
1. What is the HCF of 5967,1836?
The HCF of 5967,1836 is 459
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 5967/588, 1836/894?
Answer: GCF of Numerators as per given numbers 5967/588, 1836/894 is
GCF of Numerators i.e. for 5967,1836 is 459
LCM of denominators i.e. for 588,894 is 87612.
Thus, GCF of Fractions is 459/87612.Finally, GCF of Fractions for 5967/588, 1836/894 is 459/87612.