GCF of 3326/622, 5754/9172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3326/622, 5754/9172 i.e 2/2852492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3326/622, 5754/9172.
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 3326/622,5754/9172?
Given fractions are 3326/622,5754/9172
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 3326/622,5754/9172, numerators are 3326,5754
Denominators are 622,9172
The GCF of 3326,5754 is 2 .
LCM of 622,9172 is 2852492.
The greatest common factor of 3326/622,5754/9172 = [GCF of 3326,5754]/[LCM of 622,9172]= 2/2852492
Therefore, the GCF of 3326/622,5754/9172 is 2/2852492.
To find the highest common factor of 3326,5754, we have to find the factors of both numbers and list the highest common factor.
The factors of 3326 are 1, 2, 1663, 3326
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The HCF of 3326,5754 is 2.
Lets's calculate GCF of 3326,5754
| 2 | 3326, 5754 |
| 1663, 2877 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3326,5754 By Matching Biggest Common Factor Method
Now, list down the factors of 3326
:1,2,1663,3326
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Greatest Common Factor
We found the factors 3326,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 3326,5754 is 2.
Lets's calculate LCM of 622,9172
| 2 | 622, 9172 |
| 311, 4586 |
∴ So the LCM of the given numbers is 2 x 311 x 4586 = 2852492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2852492
Therefore, the GCF of Fractions 3326/622,5754/9172 is 2/2852492
Least Common Multiple of 622,9172 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 622,9172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,9172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,9172) x common factors =2 x 1 = 2
LCM(622,9172) = ( 622 × 9172 ) / 2
LCM(622,9172) = 5704984 / 2
LCM(622,9172) = 2852492
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FAQs on GCF of Fractions of 3326/622, 5754/9172
1. What is the HCF of 3326,5754?
The HCF of 3326,5754 is 2
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 3326/622, 5754/9172?
Answer: GCF of Numerators as per given numbers 3326/622, 5754/9172 is
GCF of Numerators i.e. for 3326,5754 is 2
LCM of denominators i.e. for 622,9172 is 2852492.
Thus, GCF of Fractions is 2/2852492.Finally, GCF of Fractions for 3326/622, 5754/9172 is 2/2852492.