GCF of 3488/479, 4752/2797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3488/479, 4752/2797 i.e 16/1339763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3488/479, 4752/2797.
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 3488/479,4752/2797?
Given fractions are 3488/479,4752/2797
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 3488/479,4752/2797, numerators are 3488,4752
Denominators are 479,2797
The GCF of 3488,4752 is 16 .
LCM of 479,2797 is 1339763.
The greatest common factor of 3488/479,4752/2797 = [GCF of 3488,4752]/[LCM of 479,2797]= 16/1339763
Therefore, the GCF of 3488/479,4752/2797 is 16/1339763.
To find the highest common factor of 3488,4752, we have to find the factors of both numbers and list the highest common factor.
The factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488
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 3488,4752 is 16.
Lets's calculate GCF of 3488,4752
| 2 | 3488, 4752 |
| 2 | 1744, 2376 |
| 2 | 872, 1188 |
| 2 | 436, 594 |
| 218, 297 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3488,4752 By Matching Biggest Common Factor Method
Now, list down the factors of 3488
:1,2,4,8,16,32,109,218,436,872,1744,3488
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 3488,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 3488,4752 is 16.
Lets's calculate LCM of 479,2797
Given numbers has no common factors except 1. So, there LCM is their product i.e 1339763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1339763
Therefore, the GCF of Fractions 3488/479,4752/2797 is 16/1339763
Least Common Multiple of 479,2797 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 479,2797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,2797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,2797) x common factors =1 x 1 = 1
LCM(479,2797) = ( 479 × 2797 ) / 1
LCM(479,2797) = 1339763 / 1
LCM(479,2797) = 1339763
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FAQs on GCF of Fractions of 3488/479, 4752/2797
1. What is the HCF of 3488,4752?
The HCF of 3488,4752 is 16
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 3488/479, 4752/2797?
Answer: GCF of Numerators as per given numbers 3488/479, 4752/2797 is
GCF of Numerators i.e. for 3488,4752 is 16
LCM of denominators i.e. for 479,2797 is 1339763.
Thus, GCF of Fractions is 16/1339763.Finally, GCF of Fractions for 3488/479, 4752/2797 is 16/1339763.