GCF of 3354/838, 8702/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3354/838, 8702/474 i.e 2/198606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3354/838, 8702/474.
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 3354/838,8702/474?
Given fractions are 3354/838,8702/474
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 3354/838,8702/474, numerators are 3354,8702
Denominators are 838,474
The GCF of 3354,8702 is 2 .
LCM of 838,474 is 198606.
The greatest common factor of 3354/838,8702/474 = [GCF of 3354,8702]/[LCM of 838,474]= 2/198606
Therefore, the GCF of 3354/838,8702/474 is 2/198606.
To find the highest common factor of 3354,8702, 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 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702
The HCF of 3354,8702 is 2.
Lets's calculate GCF of 3354,8702
| 2 | 3354, 8702 |
| 1677, 4351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3354,8702 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 8702
:1,2,19,38,229,458,4351,8702
Greatest Common Factor
We found the factors 3354,8702 . The biggest common factor number is the GCF number.
So the greatest common factor 3354,8702 is 2.
Lets's calculate LCM of 838,474
| 2 | 838, 474 |
| 419, 237 |
∴ So the LCM of the given numbers is 2 x 419 x 237 = 198606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198606
Therefore, the GCF of Fractions 3354/838,8702/474 is 2/198606
Least Common Multiple of 838,474 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 838,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,474) x common factors =2 x 1 = 2
LCM(838,474) = ( 838 × 474 ) / 2
LCM(838,474) = 397212 / 2
LCM(838,474) = 198606
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FAQs on GCF of Fractions of 3354/838, 8702/474
1. What is the HCF of 3354,8702?
The HCF of 3354,8702 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 3354/838, 8702/474?
Answer: GCF of Numerators as per given numbers 3354/838, 8702/474 is
GCF of Numerators i.e. for 3354,8702 is 2
LCM of denominators i.e. for 838,474 is 198606.
Thus, GCF of Fractions is 2/198606.Finally, GCF of Fractions for 3354/838, 8702/474 is 2/198606.