GCF of 3397/878, 6740/8384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3397/878, 6740/8384 i.e 1/3680576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3397/878, 6740/8384.
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 3397/878,6740/8384?
Given fractions are 3397/878,6740/8384
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 3397/878,6740/8384, numerators are 3397,6740
Denominators are 878,8384
The GCF of 3397,6740 is 1 .
LCM of 878,8384 is 3680576.
The greatest common factor of 3397/878,6740/8384 = [GCF of 3397,6740]/[LCM of 878,8384]= 1/3680576
Therefore, the GCF of 3397/878,6740/8384 is 1/3680576.
To find the highest common factor of 3397,6740, we have to find the factors of both numbers and list the highest common factor.
The factors of 3397 are 1, 43, 79, 3397
The factors of 6740 are 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740
The HCF of 3397,6740 is 1.
Lets's calculate GCF of 3397,6740
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3397,6740 By Matching Biggest Common Factor Method
Now, list down the factors of 3397
:1,43,79,3397
Now, list down the factors of 6740
:1,2,4,5,10,20,337,674,1348,1685,3370,6740
Greatest Common Factor
We found the factors 3397,6740 . The biggest common factor number is the GCF number.
So the greatest common factor 3397,6740 is 1.
Lets's calculate LCM of 878,8384
| 2 | 878, 8384 |
| 439, 4192 |
∴ So the LCM of the given numbers is 2 x 439 x 4192 = 3680576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3680576
Therefore, the GCF of Fractions 3397/878,6740/8384 is 1/3680576
Least Common Multiple of 878,8384 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 878,8384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,8384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,8384) x common factors =2 x 1 = 2
LCM(878,8384) = ( 878 × 8384 ) / 2
LCM(878,8384) = 7361152 / 2
LCM(878,8384) = 3680576
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FAQs on GCF of Fractions of 3397/878, 6740/8384
1. What is the HCF of 3397,6740?
The HCF of 3397,6740 is 1
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 3397/878, 6740/8384?
Answer: GCF of Numerators as per given numbers 3397/878, 6740/8384 is
GCF of Numerators i.e. for 3397,6740 is 1
LCM of denominators i.e. for 878,8384 is 3680576.
Thus, GCF of Fractions is 1/3680576.Finally, GCF of Fractions for 3397/878, 6740/8384 is 1/3680576.