GCF of 3398/334, 7358/1427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3398/334, 7358/1427 i.e 2/476618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3398/334, 7358/1427.
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 3398/334,7358/1427?
Given fractions are 3398/334,7358/1427
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 3398/334,7358/1427, numerators are 3398,7358
Denominators are 334,1427
The GCF of 3398,7358 is 2 .
LCM of 334,1427 is 476618.
The greatest common factor of 3398/334,7358/1427 = [GCF of 3398,7358]/[LCM of 334,1427]= 2/476618
Therefore, the GCF of 3398/334,7358/1427 is 2/476618.
To find the highest common factor of 3398,7358, we have to find the factors of both numbers and list the highest common factor.
The factors of 3398 are 1, 2, 1699, 3398
The factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358
The HCF of 3398,7358 is 2.
Lets's calculate GCF of 3398,7358
| 2 | 3398, 7358 |
| 1699, 3679 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3398,7358 By Matching Biggest Common Factor Method
Now, list down the factors of 3398
:1,2,1699,3398
Now, list down the factors of 7358
:1,2,13,26,283,566,3679,7358
Greatest Common Factor
We found the factors 3398,7358 . The biggest common factor number is the GCF number.
So the greatest common factor 3398,7358 is 2.
Lets's calculate LCM of 334,1427
Given numbers has no common factors except 1. So, there LCM is their product i.e 476618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/476618
Therefore, the GCF of Fractions 3398/334,7358/1427 is 2/476618
Least Common Multiple of 334,1427 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 334,1427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,1427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,1427) x common factors =1 x 1 = 1
LCM(334,1427) = ( 334 × 1427 ) / 1
LCM(334,1427) = 476618 / 1
LCM(334,1427) = 476618
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FAQs on GCF of Fractions of 3398/334, 7358/1427
1. What is the HCF of 3398,7358?
The HCF of 3398,7358 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 3398/334, 7358/1427?
Answer: GCF of Numerators as per given numbers 3398/334, 7358/1427 is
GCF of Numerators i.e. for 3398,7358 is 2
LCM of denominators i.e. for 334,1427 is 476618.
Thus, GCF of Fractions is 2/476618.Finally, GCF of Fractions for 3398/334, 7358/1427 is 2/476618.