GCF of 2088/914, 3270/2936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2088/914, 3270/2936 i.e 6/1341752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2088/914, 3270/2936.
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 2088/914,3270/2936?
Given fractions are 2088/914,3270/2936
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 2088/914,3270/2936, numerators are 2088,3270
Denominators are 914,2936
The GCF of 2088,3270 is 6 .
LCM of 914,2936 is 1341752.
The greatest common factor of 2088/914,3270/2936 = [GCF of 2088,3270]/[LCM of 914,2936]= 6/1341752
Therefore, the GCF of 2088/914,3270/2936 is 6/1341752.
To find the highest common factor of 2088,3270, we have to find the factors of both numbers and list the highest common factor.
The factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088
The factors of 3270 are 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270
The HCF of 2088,3270 is 6.
Lets's calculate GCF of 2088,3270
| 2 | 2088, 3270 |
| 3 | 1044, 1635 |
| 348, 545 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2088,3270 By Matching Biggest Common Factor Method
Now, list down the factors of 2088
:1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088
Now, list down the factors of 3270
:1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270
Greatest Common Factor
We found the factors 2088,3270 . The biggest common factor number is the GCF number.
So the greatest common factor 2088,3270 is 6.
Lets's calculate LCM of 914,2936
| 2 | 914, 2936 |
| 457, 1468 |
∴ So the LCM of the given numbers is 2 x 457 x 1468 = 1341752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1341752
Therefore, the GCF of Fractions 2088/914,3270/2936 is 6/1341752
Least Common Multiple of 914,2936 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 914,2936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,2936) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,2936) x common factors =2 x 1 = 2
LCM(914,2936) = ( 914 × 2936 ) / 2
LCM(914,2936) = 2683504 / 2
LCM(914,2936) = 1341752
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FAQs on GCF of Fractions of 2088/914, 3270/2936
1. What is the HCF of 2088,3270?
The HCF of 2088,3270 is 6
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 2088/914, 3270/2936?
Answer: GCF of Numerators as per given numbers 2088/914, 3270/2936 is
GCF of Numerators i.e. for 2088,3270 is 6
LCM of denominators i.e. for 914,2936 is 1341752.
Thus, GCF of Fractions is 6/1341752.Finally, GCF of Fractions for 2088/914, 3270/2936 is 6/1341752.