GCF of 1636/588, 6352/5832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1636/588, 6352/5832 i.e 4/285768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1636/588, 6352/5832.
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 1636/588,6352/5832?
Given fractions are 1636/588,6352/5832
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 1636/588,6352/5832, numerators are 1636,6352
Denominators are 588,5832
The GCF of 1636,6352 is 4 .
LCM of 588,5832 is 285768.
The greatest common factor of 1636/588,6352/5832 = [GCF of 1636,6352]/[LCM of 588,5832]= 4/285768
Therefore, the GCF of 1636/588,6352/5832 is 4/285768.
To find the highest common factor of 1636,6352, we have to find the factors of both numbers and list the highest common factor.
The factors of 1636 are 1, 2, 4, 409, 818, 1636
The factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352
The HCF of 1636,6352 is 4.
Lets's calculate GCF of 1636,6352
| 2 | 1636, 6352 |
| 2 | 818, 3176 |
| 409, 1588 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1636,6352 By Matching Biggest Common Factor Method
Now, list down the factors of 1636
:1,2,4,409,818,1636
Now, list down the factors of 6352
:1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors 1636,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 1636,6352 is 4.
Lets's calculate LCM of 588,5832
| 2 | 588, 5832 |
| 2 | 294, 2916 |
| 3 | 147, 1458 |
| 49, 486 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 486 = 285768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/285768
Therefore, the GCF of Fractions 1636/588,6352/5832 is 4/285768
Least Common Multiple of 588,5832 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 588,5832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,5832) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(588,5832) x common factors =12 x 1 = 12
LCM(588,5832) = ( 588 × 5832 ) / 12
LCM(588,5832) = 3429216 / 12
LCM(588,5832) = 285768
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FAQs on GCF of Fractions of 1636/588, 6352/5832
1. What is the HCF of 1636,6352?
The HCF of 1636,6352 is 4
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 1636/588, 6352/5832?
Answer: GCF of Numerators as per given numbers 1636/588, 6352/5832 is
GCF of Numerators i.e. for 1636,6352 is 4
LCM of denominators i.e. for 588,5832 is 285768.
Thus, GCF of Fractions is 4/285768.Finally, GCF of Fractions for 1636/588, 6352/5832 is 4/285768.