GCF of 3340/896, 6848/7390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3340/896, 6848/7390 i.e 4/3310720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3340/896, 6848/7390.
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 3340/896,6848/7390?
Given fractions are 3340/896,6848/7390
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 3340/896,6848/7390, numerators are 3340,6848
Denominators are 896,7390
The GCF of 3340,6848 is 4 .
LCM of 896,7390 is 3310720.
The greatest common factor of 3340/896,6848/7390 = [GCF of 3340,6848]/[LCM of 896,7390]= 4/3310720
Therefore, the GCF of 3340/896,6848/7390 is 4/3310720.
To find the highest common factor of 3340,6848, we have to find the factors of both numbers and list the highest common factor.
The factors of 3340 are 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670, 3340
The factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848
The HCF of 3340,6848 is 4.
Lets's calculate GCF of 3340,6848
| 2 | 3340, 6848 |
| 2 | 1670, 3424 |
| 835, 1712 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3340,6848 By Matching Biggest Common Factor Method
Now, list down the factors of 3340
:1,2,4,5,10,20,167,334,668,835,1670,3340
Now, list down the factors of 6848
:1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Greatest Common Factor
We found the factors 3340,6848 . The biggest common factor number is the GCF number.
So the greatest common factor 3340,6848 is 4.
Lets's calculate LCM of 896,7390
| 2 | 896, 7390 |
| 448, 3695 |
∴ So the LCM of the given numbers is 2 x 448 x 3695 = 3310720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3310720
Therefore, the GCF of Fractions 3340/896,6848/7390 is 4/3310720
Least Common Multiple of 896,7390 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 896,7390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,7390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(896,7390) x common factors =2 x 1 = 2
LCM(896,7390) = ( 896 × 7390 ) / 2
LCM(896,7390) = 6621440 / 2
LCM(896,7390) = 3310720
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FAQs on GCF of Fractions of 3340/896, 6848/7390
1. What is the HCF of 3340,6848?
The HCF of 3340,6848 is 4
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 3340/896, 6848/7390?
Answer: GCF of Numerators as per given numbers 3340/896, 6848/7390 is
GCF of Numerators i.e. for 3340,6848 is 4
LCM of denominators i.e. for 896,7390 is 3310720.
Thus, GCF of Fractions is 4/3310720.Finally, GCF of Fractions for 3340/896, 6848/7390 is 4/3310720.