GCF of 3354/646, 4074/4550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3354/646, 4074/4550 i.e 6/1469650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3354/646, 4074/4550.
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 3354/646,4074/4550?
Given fractions are 3354/646,4074/4550
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 3354/646,4074/4550, numerators are 3354,4074
Denominators are 646,4550
The GCF of 3354,4074 is 6 .
LCM of 646,4550 is 1469650.
The greatest common factor of 3354/646,4074/4550 = [GCF of 3354,4074]/[LCM of 646,4550]= 6/1469650
Therefore, the GCF of 3354/646,4074/4550 is 6/1469650.
To find the highest common factor of 3354,4074, we have to find the factors of both numbers and list the highest common factor.
The factors of 3354 are 1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354
The factors of 4074 are 1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074
The HCF of 3354,4074 is 6.
Lets's calculate GCF of 3354,4074
| 2 | 3354, 4074 |
| 3 | 1677, 2037 |
| 559, 679 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3354,4074 By Matching Biggest Common Factor Method
Now, list down the factors of 3354
:1,2,3,6,13,26,39,43,78,86,129,258,559,1118,1677,3354
Now, list down the factors of 4074
:1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074
Greatest Common Factor
We found the factors 3354,4074 . The biggest common factor number is the GCF number.
So the greatest common factor 3354,4074 is 6.
Lets's calculate LCM of 646,4550
| 2 | 646, 4550 |
| 323, 2275 |
∴ So the LCM of the given numbers is 2 x 323 x 2275 = 1469650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1469650
Therefore, the GCF of Fractions 3354/646,4074/4550 is 6/1469650
Least Common Multiple of 646,4550 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 646,4550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,4550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,4550) x common factors =2 x 1 = 2
LCM(646,4550) = ( 646 × 4550 ) / 2
LCM(646,4550) = 2939300 / 2
LCM(646,4550) = 1469650
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FAQs on GCF of Fractions of 3354/646, 4074/4550
1. What is the HCF of 3354,4074?
The HCF of 3354,4074 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 3354/646, 4074/4550?
Answer: GCF of Numerators as per given numbers 3354/646, 4074/4550 is
GCF of Numerators i.e. for 3354,4074 is 6
LCM of denominators i.e. for 646,4550 is 1469650.
Thus, GCF of Fractions is 6/1469650.Finally, GCF of Fractions for 3354/646, 4074/4550 is 6/1469650.