GCF of 1637/302, 4752/5728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1637/302, 4752/5728 i.e 1/864928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1637/302, 4752/5728.
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 1637/302,4752/5728?
Given fractions are 1637/302,4752/5728
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 1637/302,4752/5728, numerators are 1637,4752
Denominators are 302,5728
The GCF of 1637,4752 is 1 .
LCM of 302,5728 is 864928.
The greatest common factor of 1637/302,4752/5728 = [GCF of 1637,4752]/[LCM of 302,5728]= 1/864928
Therefore, the GCF of 1637/302,4752/5728 is 1/864928.
To find the highest common factor of 1637,4752, we have to find the factors of both numbers and list the highest common factor.
The factors of 1637 are 1, 1637
The factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752
The HCF of 1637,4752 is 1.
Lets's calculate GCF of 1637,4752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1637,4752 By Matching Biggest Common Factor Method
Now, list down the factors of 1637
:1,1637
Now, list down the factors of 4752
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752
Greatest Common Factor
We found the factors 1637,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 1637,4752 is 1.
Lets's calculate LCM of 302,5728
| 2 | 302, 5728 |
| 151, 2864 |
∴ So the LCM of the given numbers is 2 x 151 x 2864 = 864928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/864928
Therefore, the GCF of Fractions 1637/302,4752/5728 is 1/864928
Least Common Multiple of 302,5728 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 302,5728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,5728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,5728) x common factors =2 x 1 = 2
LCM(302,5728) = ( 302 × 5728 ) / 2
LCM(302,5728) = 1729856 / 2
LCM(302,5728) = 864928
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FAQs on GCF of Fractions of 1637/302, 4752/5728
1. What is the HCF of 1637,4752?
The HCF of 1637,4752 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 1637/302, 4752/5728?
Answer: GCF of Numerators as per given numbers 1637/302, 4752/5728 is
GCF of Numerators i.e. for 1637,4752 is 1
LCM of denominators i.e. for 302,5728 is 864928.
Thus, GCF of Fractions is 1/864928.Finally, GCF of Fractions for 1637/302, 4752/5728 is 1/864928.