GCF of 8148/136, 8127/6967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8148/136, 8127/6967 i.e 21/947512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8148/136, 8127/6967.
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 8148/136,8127/6967?
Given fractions are 8148/136,8127/6967
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 8148/136,8127/6967, numerators are 8148,8127
Denominators are 136,6967
The GCF of 8148,8127 is 21 .
LCM of 136,6967 is 947512.
The greatest common factor of 8148/136,8127/6967 = [GCF of 8148,8127]/[LCM of 136,6967]= 21/947512
Therefore, the GCF of 8148/136,8127/6967 is 21/947512.
To find the highest common factor of 8148,8127, we have to find the factors of both numbers and list the highest common factor.
The factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148
The factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127
The HCF of 8148,8127 is 21.
Lets's calculate GCF of 8148,8127
| 3 | 8148, 8127 |
| 7 | 2716, 2709 |
| 388, 387 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 8148,8127 By Matching Biggest Common Factor Method
Now, list down the factors of 8148
:1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148
Now, list down the factors of 8127
:1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127
Greatest Common Factor
We found the factors 8148,8127 . The biggest common factor number is the GCF number.
So the greatest common factor 8148,8127 is 21.
Lets's calculate LCM of 136,6967
Given numbers has no common factors except 1. So, there LCM is their product i.e 947512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/947512
Therefore, the GCF of Fractions 8148/136,8127/6967 is 21/947512
Least Common Multiple of 136,6967 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 136,6967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,6967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,6967) x common factors =1 x 1 = 1
LCM(136,6967) = ( 136 × 6967 ) / 1
LCM(136,6967) = 947512 / 1
LCM(136,6967) = 947512
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FAQs on GCF of Fractions of 8148/136, 8127/6967
1. What is the HCF of 8148,8127?
The HCF of 8148,8127 is 21
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 8148/136, 8127/6967?
Answer: GCF of Numerators as per given numbers 8148/136, 8127/6967 is
GCF of Numerators i.e. for 8148,8127 is 21
LCM of denominators i.e. for 136,6967 is 947512.
Thus, GCF of Fractions is 21/947512.Finally, GCF of Fractions for 8148/136, 8127/6967 is 21/947512.