GCF of 6838/155, 7064/7160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6838/155, 7064/7160 i.e 2/221960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6838/155, 7064/7160.
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 6838/155,7064/7160?
Given fractions are 6838/155,7064/7160
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 6838/155,7064/7160, numerators are 6838,7064
Denominators are 155,7160
The GCF of 6838,7064 is 2 .
LCM of 155,7160 is 221960.
The greatest common factor of 6838/155,7064/7160 = [GCF of 6838,7064]/[LCM of 155,7160]= 2/221960
Therefore, the GCF of 6838/155,7064/7160 is 2/221960.
To find the highest common factor of 6838,7064, we have to find the factors of both numbers and list the highest common factor.
The factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The HCF of 6838,7064 is 2.
Lets's calculate GCF of 6838,7064
| 2 | 6838, 7064 |
| 3419, 3532 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6838,7064 By Matching Biggest Common Factor Method
Now, list down the factors of 6838
:1,2,13,26,263,526,3419,6838
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Greatest Common Factor
We found the factors 6838,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 6838,7064 is 2.
Lets's calculate LCM of 155,7160
| 5 | 155, 7160 |
| 31, 1432 |
∴ So the LCM of the given numbers is 5 x 31 x 1432 = 221960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/221960
Therefore, the GCF of Fractions 6838/155,7064/7160 is 2/221960
Least Common Multiple of 155,7160 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 155,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,7160) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(155,7160) x common factors =5 x 1 = 5
LCM(155,7160) = ( 155 × 7160 ) / 5
LCM(155,7160) = 1109800 / 5
LCM(155,7160) = 221960
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FAQs on GCF of Fractions of 6838/155, 7064/7160
1. What is the HCF of 6838,7064?
The HCF of 6838,7064 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 6838/155, 7064/7160?
Answer: GCF of Numerators as per given numbers 6838/155, 7064/7160 is
GCF of Numerators i.e. for 6838,7064 is 2
LCM of denominators i.e. for 155,7160 is 221960.
Thus, GCF of Fractions is 2/221960.Finally, GCF of Fractions for 6838/155, 7064/7160 is 2/221960.