GCF of 6944/340, 8575/3220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6944/340, 8575/3220 i.e 7/54740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6944/340, 8575/3220.
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 6944/340,8575/3220?
Given fractions are 6944/340,8575/3220
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 6944/340,8575/3220, numerators are 6944,8575
Denominators are 340,3220
The GCF of 6944,8575 is 7 .
LCM of 340,3220 is 54740.
The greatest common factor of 6944/340,8575/3220 = [GCF of 6944,8575]/[LCM of 340,3220]= 7/54740
Therefore, the GCF of 6944/340,8575/3220 is 7/54740.
To find the highest common factor of 6944,8575, we have to find the factors of both numbers and list the highest common factor.
The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944
The factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575
The HCF of 6944,8575 is 7.
Lets's calculate GCF of 6944,8575
| 7 | 6944, 8575 |
| 992, 1225 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6944,8575 By Matching Biggest Common Factor Method
Now, list down the factors of 6944
:1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944
Now, list down the factors of 8575
:1,5,7,25,35,49,175,245,343,1225,1715,8575
Greatest Common Factor
We found the factors 6944,8575 . The biggest common factor number is the GCF number.
So the greatest common factor 6944,8575 is 7.
Lets's calculate LCM of 340,3220
| 2 | 340, 3220 |
| 2 | 170, 1610 |
| 5 | 85, 805 |
| 17, 161 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 161 = 54740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/54740
Therefore, the GCF of Fractions 6944/340,8575/3220 is 7/54740
Least Common Multiple of 340,3220 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 340,3220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,3220) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(340,3220) x common factors =20 x 1 = 20
LCM(340,3220) = ( 340 × 3220 ) / 20
LCM(340,3220) = 1094800 / 20
LCM(340,3220) = 54740
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FAQs on GCF of Fractions of 6944/340, 8575/3220
1. What is the HCF of 6944,8575?
The HCF of 6944,8575 is 7
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 6944/340, 8575/3220?
Answer: GCF of Numerators as per given numbers 6944/340, 8575/3220 is
GCF of Numerators i.e. for 6944,8575 is 7
LCM of denominators i.e. for 340,3220 is 54740.
Thus, GCF of Fractions is 7/54740.Finally, GCF of Fractions for 6944/340, 8575/3220 is 7/54740.