GCF of 8176/565, 8136/124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8176/565, 8136/124 i.e 8/70060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8176/565, 8136/124.
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 8176/565,8136/124?
Given fractions are 8176/565,8136/124
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 8176/565,8136/124, numerators are 8176,8136
Denominators are 565,124
The GCF of 8176,8136 is 8 .
LCM of 565,124 is 70060.
The greatest common factor of 8176/565,8136/124 = [GCF of 8176,8136]/[LCM of 565,124]= 8/70060
Therefore, the GCF of 8176/565,8136/124 is 8/70060.
To find the highest common factor of 8176,8136, we have to find the factors of both numbers and list the highest common factor.
The factors of 8176 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176
The factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136
The HCF of 8176,8136 is 8.
Lets's calculate GCF of 8176,8136
| 2 | 8176, 8136 |
| 2 | 4088, 4068 |
| 2 | 2044, 2034 |
| 1022, 1017 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8176,8136 By Matching Biggest Common Factor Method
Now, list down the factors of 8176
:1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176
Now, list down the factors of 8136
:1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Greatest Common Factor
We found the factors 8176,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 8176,8136 is 8.
Lets's calculate LCM of 565,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 70060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/70060
Therefore, the GCF of Fractions 8176/565,8136/124 is 8/70060
Least Common Multiple of 565,124 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 565,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,124) x common factors =1 x 1 = 1
LCM(565,124) = ( 565 × 124 ) / 1
LCM(565,124) = 70060 / 1
LCM(565,124) = 70060
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FAQs on GCF of Fractions of 8176/565, 8136/124
1. What is the HCF of 8176,8136?
The HCF of 8176,8136 is 8
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 8176/565, 8136/124?
Answer: GCF of Numerators as per given numbers 8176/565, 8136/124 is
GCF of Numerators i.e. for 8176,8136 is 8
LCM of denominators i.e. for 565,124 is 70060.
Thus, GCF of Fractions is 8/70060.Finally, GCF of Fractions for 8176/565, 8136/124 is 8/70060.