GCF of 664/44, 332/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 664/44, 332/674 i.e 332/14828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 664/44, 332/674.
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 664/44,332/674?
Given fractions are 664/44,332/674
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 664/44,332/674, numerators are 664,332
Denominators are 44,674
The GCF of 664,332 is 332 .
LCM of 44,674 is 14828.
The greatest common factor of 664/44,332/674 = [GCF of 664,332]/[LCM of 44,674]= 332/14828
Therefore, the GCF of 664/44,332/674 is 332/14828.
To find the highest common factor of 664,332, we have to find the factors of both numbers and list the highest common factor.
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 332 are 1, 2, 4, 83, 166, 332
The HCF of 664,332 is 332.
Lets's calculate GCF of 664,332
| 2 | 664, 332 |
| 2 | 332, 166 |
| 83 | 83, 166 |
| 1, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 83 = 332
Greatest Common Factor of 664,332 By Matching Biggest Common Factor Method
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 332
:1,2,4,83,166,332
Greatest Common Factor
We found the factors 664,332 . The biggest common factor number is the GCF number.
So the greatest common factor 664,332 is 332.
Lets's calculate LCM of 44,674
| 2 | 44, 674 |
| 22, 337 |
∴ So the LCM of the given numbers is 2 x 22 x 337 = 14828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 332/14828
Therefore, the GCF of Fractions 664/44,332/674 is 332/14828
Least Common Multiple of 44,674 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 44,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,674) x common factors =2 x 1 = 2
LCM(44,674) = ( 44 × 674 ) / 2
LCM(44,674) = 29656 / 2
LCM(44,674) = 14828
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FAQs on GCF of Fractions of 664/44, 332/674
1. What is the HCF of 664,332?
The HCF of 664,332 is 332
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 664/44, 332/674?
Answer: GCF of Numerators as per given numbers 664/44, 332/674 is
GCF of Numerators i.e. for 664,332 is 332
LCM of denominators i.e. for 44,674 is 14828.
Thus, GCF of Fractions is 332/14828.Finally, GCF of Fractions for 664/44, 332/674 is 332/14828.