GCF of 2274/664, 5802/3912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2274/664, 5802/3912 i.e 6/324696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2274/664, 5802/3912.
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 2274/664,5802/3912?
Given fractions are 2274/664,5802/3912
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 2274/664,5802/3912, numerators are 2274,5802
Denominators are 664,3912
The GCF of 2274,5802 is 6 .
LCM of 664,3912 is 324696.
The greatest common factor of 2274/664,5802/3912 = [GCF of 2274,5802]/[LCM of 664,3912]= 6/324696
Therefore, the GCF of 2274/664,5802/3912 is 6/324696.
To find the highest common factor of 2274,5802, we have to find the factors of both numbers and list the highest common factor.
The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802
The HCF of 2274,5802 is 6.
Lets's calculate GCF of 2274,5802
| 2 | 2274, 5802 |
| 3 | 1137, 2901 |
| 379, 967 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2274,5802 By Matching Biggest Common Factor Method
Now, list down the factors of 2274
:1,2,3,6,379,758,1137,2274
Now, list down the factors of 5802
:1,2,3,6,967,1934,2901,5802
Greatest Common Factor
We found the factors 2274,5802 . The biggest common factor number is the GCF number.
So the greatest common factor 2274,5802 is 6.
Lets's calculate LCM of 664,3912
| 2 | 664, 3912 |
| 2 | 332, 1956 |
| 2 | 166, 978 |
| 83, 489 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 489 = 324696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/324696
Therefore, the GCF of Fractions 2274/664,5802/3912 is 6/324696
Least Common Multiple of 664,3912 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 664,3912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,3912) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(664,3912) x common factors =8 x 1 = 8
LCM(664,3912) = ( 664 × 3912 ) / 8
LCM(664,3912) = 2597568 / 8
LCM(664,3912) = 324696
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FAQs on GCF of Fractions of 2274/664, 5802/3912
1. What is the HCF of 2274,5802?
The HCF of 2274,5802 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 2274/664, 5802/3912?
Answer: GCF of Numerators as per given numbers 2274/664, 5802/3912 is
GCF of Numerators i.e. for 2274,5802 is 6
LCM of denominators i.e. for 664,3912 is 324696.
Thus, GCF of Fractions is 6/324696.Finally, GCF of Fractions for 2274/664, 5802/3912 is 6/324696.