GCF of 2376/291, 7075/3822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2376/291, 7075/3822 i.e 1/370734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2376/291, 7075/3822.
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 2376/291,7075/3822?
Given fractions are 2376/291,7075/3822
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 2376/291,7075/3822, numerators are 2376,7075
Denominators are 291,3822
The GCF of 2376,7075 is 1 .
LCM of 291,3822 is 370734.
The greatest common factor of 2376/291,7075/3822 = [GCF of 2376,7075]/[LCM of 291,3822]= 1/370734
Therefore, the GCF of 2376/291,7075/3822 is 1/370734.
To find the highest common factor of 2376,7075, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7075 are 1, 5, 25, 283, 1415, 7075
The HCF of 2376,7075 is 1.
Lets's calculate GCF of 2376,7075
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2376,7075 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7075
:1,5,25,283,1415,7075
Greatest Common Factor
We found the factors 2376,7075 . The biggest common factor number is the GCF number.
So the greatest common factor 2376,7075 is 1.
Lets's calculate LCM of 291,3822
| 3 | 291, 3822 |
| 97, 1274 |
∴ So the LCM of the given numbers is 3 x 97 x 1274 = 370734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370734
Therefore, the GCF of Fractions 2376/291,7075/3822 is 1/370734
Least Common Multiple of 291,3822 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 291,3822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,3822) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,3822) x common factors =3 x 1 = 3
LCM(291,3822) = ( 291 × 3822 ) / 3
LCM(291,3822) = 1112202 / 3
LCM(291,3822) = 370734
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FAQs on GCF of Fractions of 2376/291, 7075/3822
1. What is the HCF of 2376,7075?
The HCF of 2376,7075 is 1
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 2376/291, 7075/3822?
Answer: GCF of Numerators as per given numbers 2376/291, 7075/3822 is
GCF of Numerators i.e. for 2376,7075 is 1
LCM of denominators i.e. for 291,3822 is 370734.
Thus, GCF of Fractions is 1/370734.Finally, GCF of Fractions for 2376/291, 7075/3822 is 1/370734.