GCF of 6246/854, 8172/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6246/854, 8172/320 i.e 18/136640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6246/854, 8172/320.
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 6246/854,8172/320?
Given fractions are 6246/854,8172/320
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 6246/854,8172/320, numerators are 6246,8172
Denominators are 854,320
The GCF of 6246,8172 is 18 .
LCM of 854,320 is 136640.
The greatest common factor of 6246/854,8172/320 = [GCF of 6246,8172]/[LCM of 854,320]= 18/136640
Therefore, the GCF of 6246/854,8172/320 is 18/136640.
To find the highest common factor of 6246,8172, we have to find the factors of both numbers and list the highest common factor.
The factors of 6246 are 1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246
The factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172
The HCF of 6246,8172 is 18.
Lets's calculate GCF of 6246,8172
| 2 | 6246, 8172 |
| 3 | 3123, 4086 |
| 3 | 1041, 1362 |
| 347, 454 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 6246,8172 By Matching Biggest Common Factor Method
Now, list down the factors of 6246
:1,2,3,6,9,18,347,694,1041,2082,3123,6246
Now, list down the factors of 8172
:1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
We found the factors 6246,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 6246,8172 is 18.
Lets's calculate LCM of 854,320
| 2 | 854, 320 |
| 427, 160 |
∴ So the LCM of the given numbers is 2 x 427 x 160 = 136640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/136640
Therefore, the GCF of Fractions 6246/854,8172/320 is 18/136640
Least Common Multiple of 854,320 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 854,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,320) x common factors =2 x 1 = 2
LCM(854,320) = ( 854 × 320 ) / 2
LCM(854,320) = 273280 / 2
LCM(854,320) = 136640
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FAQs on GCF of Fractions of 6246/854, 8172/320
1. What is the HCF of 6246,8172?
The HCF of 6246,8172 is 18
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 6246/854, 8172/320?
Answer: GCF of Numerators as per given numbers 6246/854, 8172/320 is
GCF of Numerators i.e. for 6246,8172 is 18
LCM of denominators i.e. for 854,320 is 136640.
Thus, GCF of Fractions is 18/136640.Finally, GCF of Fractions for 6246/854, 8172/320 is 18/136640.