GCF of 1569/341, 3414/3410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1569/341, 3414/3410 i.e 3/3410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1569/341, 3414/3410.
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 1569/341,3414/3410?
Given fractions are 1569/341,3414/3410
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 1569/341,3414/3410, numerators are 1569,3414
Denominators are 341,3410
The GCF of 1569,3414 is 3 .
LCM of 341,3410 is 3410.
The greatest common factor of 1569/341,3414/3410 = [GCF of 1569,3414]/[LCM of 341,3410]= 3/3410
Therefore, the GCF of 1569/341,3414/3410 is 3/3410.
To find the highest common factor of 1569,3414, we have to find the factors of both numbers and list the highest common factor.
The factors of 1569 are 1, 3, 523, 1569
The factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414
The HCF of 1569,3414 is 3.
Lets's calculate GCF of 1569,3414
| 3 | 1569, 3414 |
| 523, 1138 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1569,3414 By Matching Biggest Common Factor Method
Now, list down the factors of 1569
:1,3,523,1569
Now, list down the factors of 3414
:1,2,3,6,569,1138,1707,3414
Greatest Common Factor
We found the factors 1569,3414 . The biggest common factor number is the GCF number.
So the greatest common factor 1569,3414 is 3.
Lets's calculate LCM of 341,3410
| 11 | 341, 3410 |
| 31 | 31, 310 |
| 1, 10 |
∴ So the LCM of the given numbers is 11 x 31 x 1 x 10 = 3410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3410
Therefore, the GCF of Fractions 1569/341,3414/3410 is 3/3410
Least Common Multiple of 341,3410 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 341,3410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,3410) = 341
common factors(in case of two or more numbers have common factors) = 1
GCF(341,3410) x common factors =341 x 1 = 341
LCM(341,3410) = ( 341 × 3410 ) / 341
LCM(341,3410) = 1162810 / 341
LCM(341,3410) = 3410
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FAQs on GCF of Fractions of 1569/341, 3414/3410
1. What is the HCF of 1569,3414?
The HCF of 1569,3414 is 3
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 1569/341, 3414/3410?
Answer: GCF of Numerators as per given numbers 1569/341, 3414/3410 is
GCF of Numerators i.e. for 1569,3414 is 3
LCM of denominators i.e. for 341,3410 is 3410.
Thus, GCF of Fractions is 3/3410.Finally, GCF of Fractions for 1569/341, 3414/3410 is 3/3410.