GCF of 9864/670, 3456/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9864/670, 3456/122 i.e 72/40870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9864/670, 3456/122.
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 9864/670,3456/122?
Given fractions are 9864/670,3456/122
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 9864/670,3456/122, numerators are 9864,3456
Denominators are 670,122
The GCF of 9864,3456 is 72 .
LCM of 670,122 is 40870.
The greatest common factor of 9864/670,3456/122 = [GCF of 9864,3456]/[LCM of 670,122]= 72/40870
Therefore, the GCF of 9864/670,3456/122 is 72/40870.
To find the highest common factor of 9864,3456, we have to find the factors of both numbers and list the highest common factor.
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864
The factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456
The HCF of 9864,3456 is 72.
Lets's calculate GCF of 9864,3456
| 2 | 9864, 3456 |
| 2 | 4932, 1728 |
| 2 | 2466, 864 |
| 3 | 1233, 432 |
| 3 | 411, 144 |
| 137, 48 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Greatest Common Factor of 9864,3456 By Matching Biggest Common Factor Method
Now, list down the factors of 9864
:1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864
Now, list down the factors of 3456
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456
Greatest Common Factor
We found the factors 9864,3456 . The biggest common factor number is the GCF number.
So the greatest common factor 9864,3456 is 72.
Lets's calculate LCM of 670,122
| 2 | 670, 122 |
| 335, 61 |
∴ So the LCM of the given numbers is 2 x 335 x 61 = 40870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/40870
Therefore, the GCF of Fractions 9864/670,3456/122 is 72/40870
Least Common Multiple of 670,122 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 670,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,122) x common factors =2 x 1 = 2
LCM(670,122) = ( 670 × 122 ) / 2
LCM(670,122) = 81740 / 2
LCM(670,122) = 40870
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FAQs on GCF of Fractions of 9864/670, 3456/122
1. What is the HCF of 9864,3456?
The HCF of 9864,3456 is 72
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 9864/670, 3456/122?
Answer: GCF of Numerators as per given numbers 9864/670, 3456/122 is
GCF of Numerators i.e. for 9864,3456 is 72
LCM of denominators i.e. for 670,122 is 40870.
Thus, GCF of Fractions is 72/40870.Finally, GCF of Fractions for 9864/670, 3456/122 is 72/40870.