GCF of 462/751, 2376/118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 462/751, 2376/118 i.e 66/88618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/751, 2376/118.
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 462/751,2376/118?
Given fractions are 462/751,2376/118
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 462/751,2376/118, numerators are 462,2376
Denominators are 751,118
The GCF of 462,2376 is 66 .
LCM of 751,118 is 88618.
The greatest common factor of 462/751,2376/118 = [GCF of 462,2376]/[LCM of 751,118]= 66/88618
Therefore, the GCF of 462/751,2376/118 is 66/88618.
To find the highest common factor of 462,2376, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376
The HCF of 462,2376 is 66.
Lets's calculate GCF of 462,2376
| 2 | 462, 2376 |
| 3 | 231, 1188 |
| 11 | 77, 396 |
| 7, 36 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Greatest Common Factor of 462,2376 By Matching Biggest Common Factor Method
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Now, list down the factors of 2376
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376
Greatest Common Factor
We found the factors 462,2376 . The biggest common factor number is the GCF number.
So the greatest common factor 462,2376 is 66.
Lets's calculate LCM of 751,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 88618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/88618
Therefore, the GCF of Fractions 462/751,2376/118 is 66/88618
Least Common Multiple of 751,118 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 751,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,118) x common factors =1 x 1 = 1
LCM(751,118) = ( 751 × 118 ) / 1
LCM(751,118) = 88618 / 1
LCM(751,118) = 88618
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FAQs on GCF of Fractions of 462/751, 2376/118
1. What is the HCF of 462,2376?
The HCF of 462,2376 is 66
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 462/751, 2376/118?
Answer: GCF of Numerators as per given numbers 462/751, 2376/118 is
GCF of Numerators i.e. for 462,2376 is 66
LCM of denominators i.e. for 751,118 is 88618.
Thus, GCF of Fractions is 66/88618.Finally, GCF of Fractions for 462/751, 2376/118 is 66/88618.