GCF of 6286/268, 7128/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6286/268, 7128/207 i.e 2/55476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6286/268, 7128/207.
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 6286/268,7128/207?
Given fractions are 6286/268,7128/207
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 6286/268,7128/207, numerators are 6286,7128
Denominators are 268,207
The GCF of 6286,7128 is 2 .
LCM of 268,207 is 55476.
The greatest common factor of 6286/268,7128/207 = [GCF of 6286,7128]/[LCM of 268,207]= 2/55476
Therefore, the GCF of 6286/268,7128/207 is 2/55476.
To find the highest common factor of 6286,7128, we have to find the factors of both numbers and list the highest common factor.
The factors of 6286 are 1, 2, 7, 14, 449, 898, 3143, 6286
The factors of 7128 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128
The HCF of 6286,7128 is 2.
Lets's calculate GCF of 6286,7128
| 2 | 6286, 7128 |
| 3143, 3564 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6286,7128 By Matching Biggest Common Factor Method
Now, list down the factors of 6286
:1,2,7,14,449,898,3143,6286
Now, list down the factors of 7128
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128
Greatest Common Factor
We found the factors 6286,7128 . The biggest common factor number is the GCF number.
So the greatest common factor 6286,7128 is 2.
Lets's calculate LCM of 268,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 55476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55476
Therefore, the GCF of Fractions 6286/268,7128/207 is 2/55476
Least Common Multiple of 268,207 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 268,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,207) x common factors =1 x 1 = 1
LCM(268,207) = ( 268 × 207 ) / 1
LCM(268,207) = 55476 / 1
LCM(268,207) = 55476
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FAQs on GCF of Fractions of 6286/268, 7128/207
1. What is the HCF of 6286,7128?
The HCF of 6286,7128 is 2
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 6286/268, 7128/207?
Answer: GCF of Numerators as per given numbers 6286/268, 7128/207 is
GCF of Numerators i.e. for 6286,7128 is 2
LCM of denominators i.e. for 268,207 is 55476.
Thus, GCF of Fractions is 2/55476.Finally, GCF of Fractions for 6286/268, 7128/207 is 2/55476.