GCF of 3442/524, 6298/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3442/524, 6298/338 i.e 2/88556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3442/524, 6298/338.
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 3442/524,6298/338?
Given fractions are 3442/524,6298/338
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 3442/524,6298/338, numerators are 3442,6298
Denominators are 524,338
The GCF of 3442,6298 is 2 .
LCM of 524,338 is 88556.
The greatest common factor of 3442/524,6298/338 = [GCF of 3442,6298]/[LCM of 524,338]= 2/88556
Therefore, the GCF of 3442/524,6298/338 is 2/88556.
To find the highest common factor of 3442,6298, we have to find the factors of both numbers and list the highest common factor.
The factors of 3442 are 1, 2, 1721, 3442
The factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298
The HCF of 3442,6298 is 2.
Lets's calculate GCF of 3442,6298
| 2 | 3442, 6298 |
| 1721, 3149 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3442,6298 By Matching Biggest Common Factor Method
Now, list down the factors of 3442
:1,2,1721,3442
Now, list down the factors of 6298
:1,2,47,67,94,134,3149,6298
Greatest Common Factor
We found the factors 3442,6298 . The biggest common factor number is the GCF number.
So the greatest common factor 3442,6298 is 2.
Lets's calculate LCM of 524,338
| 2 | 524, 338 |
| 262, 169 |
∴ So the LCM of the given numbers is 2 x 262 x 169 = 88556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88556
Therefore, the GCF of Fractions 3442/524,6298/338 is 2/88556
Least Common Multiple of 524,338 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 524,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,338) x common factors =2 x 1 = 2
LCM(524,338) = ( 524 × 338 ) / 2
LCM(524,338) = 177112 / 2
LCM(524,338) = 88556
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FAQs on GCF of Fractions of 3442/524, 6298/338
1. What is the HCF of 3442,6298?
The HCF of 3442,6298 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 3442/524, 6298/338?
Answer: GCF of Numerators as per given numbers 3442/524, 6298/338 is
GCF of Numerators i.e. for 3442,6298 is 2
LCM of denominators i.e. for 524,338 is 88556.
Thus, GCF of Fractions is 2/88556.Finally, GCF of Fractions for 3442/524, 6298/338 is 2/88556.