GCF of 3376/612, 3414/5707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3376/612, 3414/5707 i.e 2/3492684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3376/612, 3414/5707.
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 3376/612,3414/5707?
Given fractions are 3376/612,3414/5707
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 3376/612,3414/5707, numerators are 3376,3414
Denominators are 612,5707
The GCF of 3376,3414 is 2 .
LCM of 612,5707 is 3492684.
The greatest common factor of 3376/612,3414/5707 = [GCF of 3376,3414]/[LCM of 612,5707]= 2/3492684
Therefore, the GCF of 3376/612,3414/5707 is 2/3492684.
To find the highest common factor of 3376,3414, we have to find the factors of both numbers and list the highest common factor.
The factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376
The factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414
The HCF of 3376,3414 is 2.
Lets's calculate GCF of 3376,3414
| 2 | 3376, 3414 |
| 1688, 1707 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3376,3414 By Matching Biggest Common Factor Method
Now, list down the factors of 3376
:1,2,4,8,16,211,422,844,1688,3376
Now, list down the factors of 3414
:1,2,3,6,569,1138,1707,3414
Greatest Common Factor
We found the factors 3376,3414 . The biggest common factor number is the GCF number.
So the greatest common factor 3376,3414 is 2.
Lets's calculate LCM of 612,5707
Given numbers has no common factors except 1. So, there LCM is their product i.e 3492684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3492684
Therefore, the GCF of Fractions 3376/612,3414/5707 is 2/3492684
Least Common Multiple of 612,5707 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 612,5707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,5707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(612,5707) x common factors =1 x 1 = 1
LCM(612,5707) = ( 612 × 5707 ) / 1
LCM(612,5707) = 3492684 / 1
LCM(612,5707) = 3492684
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FAQs on GCF of Fractions of 3376/612, 3414/5707
1. What is the HCF of 3376,3414?
The HCF of 3376,3414 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 3376/612, 3414/5707?
Answer: GCF of Numerators as per given numbers 3376/612, 3414/5707 is
GCF of Numerators i.e. for 3376,3414 is 2
LCM of denominators i.e. for 612,5707 is 3492684.
Thus, GCF of Fractions is 2/3492684.Finally, GCF of Fractions for 3376/612, 3414/5707 is 2/3492684.