GCF of 3354/206, 7370/8464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3354/206, 7370/8464 i.e 2/871792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3354/206, 7370/8464.
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 3354/206,7370/8464?
Given fractions are 3354/206,7370/8464
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 3354/206,7370/8464, numerators are 3354,7370
Denominators are 206,8464
The GCF of 3354,7370 is 2 .
LCM of 206,8464 is 871792.
The greatest common factor of 3354/206,7370/8464 = [GCF of 3354,7370]/[LCM of 206,8464]= 2/871792
Therefore, the GCF of 3354/206,7370/8464 is 2/871792.
To find the highest common factor of 3354,7370, 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 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The HCF of 3354,7370 is 2.
Lets's calculate GCF of 3354,7370
| 2 | 3354, 7370 |
| 1677, 3685 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3354,7370 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 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Greatest Common Factor
We found the factors 3354,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 3354,7370 is 2.
Lets's calculate LCM of 206,8464
| 2 | 206, 8464 |
| 103, 4232 |
∴ So the LCM of the given numbers is 2 x 103 x 4232 = 871792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/871792
Therefore, the GCF of Fractions 3354/206,7370/8464 is 2/871792
Least Common Multiple of 206,8464 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 206,8464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,8464) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,8464) x common factors =2 x 1 = 2
LCM(206,8464) = ( 206 × 8464 ) / 2
LCM(206,8464) = 1743584 / 2
LCM(206,8464) = 871792
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FAQs on GCF of Fractions of 3354/206, 7370/8464
1. What is the HCF of 3354,7370?
The HCF of 3354,7370 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 3354/206, 7370/8464?
Answer: GCF of Numerators as per given numbers 3354/206, 7370/8464 is
GCF of Numerators i.e. for 3354,7370 is 2
LCM of denominators i.e. for 206,8464 is 871792.
Thus, GCF of Fractions is 2/871792.Finally, GCF of Fractions for 3354/206, 7370/8464 is 2/871792.