GCF of 8588/136, 8112/2630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8588/136, 8112/2630 i.e 4/178840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8588/136, 8112/2630.
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 8588/136,8112/2630?
Given fractions are 8588/136,8112/2630
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 8588/136,8112/2630, numerators are 8588,8112
Denominators are 136,2630
The GCF of 8588,8112 is 4 .
LCM of 136,2630 is 178840.
The greatest common factor of 8588/136,8112/2630 = [GCF of 8588,8112]/[LCM of 136,2630]= 4/178840
Therefore, the GCF of 8588/136,8112/2630 is 4/178840.
To find the highest common factor of 8588,8112, we have to find the factors of both numbers and list the highest common factor.
The factors of 8588 are 1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588
The factors of 8112 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112
The HCF of 8588,8112 is 4.
Lets's calculate GCF of 8588,8112
| 2 | 8588, 8112 |
| 2 | 4294, 4056 |
| 2147, 2028 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8588,8112 By Matching Biggest Common Factor Method
Now, list down the factors of 8588
:1,2,4,19,38,76,113,226,452,2147,4294,8588
Now, list down the factors of 8112
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112
Greatest Common Factor
We found the factors 8588,8112 . The biggest common factor number is the GCF number.
So the greatest common factor 8588,8112 is 4.
Lets's calculate LCM of 136,2630
| 2 | 136, 2630 |
| 68, 1315 |
∴ So the LCM of the given numbers is 2 x 68 x 1315 = 178840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/178840
Therefore, the GCF of Fractions 8588/136,8112/2630 is 4/178840
Least Common Multiple of 136,2630 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 136,2630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,2630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(136,2630) x common factors =2 x 1 = 2
LCM(136,2630) = ( 136 × 2630 ) / 2
LCM(136,2630) = 357680 / 2
LCM(136,2630) = 178840
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FAQs on GCF of Fractions of 8588/136, 8112/2630
1. What is the HCF of 8588,8112?
The HCF of 8588,8112 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 8588/136, 8112/2630?
Answer: GCF of Numerators as per given numbers 8588/136, 8112/2630 is
GCF of Numerators i.e. for 8588,8112 is 4
LCM of denominators i.e. for 136,2630 is 178840.
Thus, GCF of Fractions is 4/178840.Finally, GCF of Fractions for 8588/136, 8112/2630 is 4/178840.