GCF of 7854/385, 4080/9153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7854/385, 4080/9153 i.e 102/3523905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7854/385, 4080/9153.
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 7854/385,4080/9153?
Given fractions are 7854/385,4080/9153
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 7854/385,4080/9153, numerators are 7854,4080
Denominators are 385,9153
The GCF of 7854,4080 is 102 .
LCM of 385,9153 is 3523905.
The greatest common factor of 7854/385,4080/9153 = [GCF of 7854,4080]/[LCM of 385,9153]= 102/3523905
Therefore, the GCF of 7854/385,4080/9153 is 102/3523905.
To find the highest common factor of 7854,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 7854 are 1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 7854,4080 is 102.
Lets's calculate GCF of 7854,4080
| 2 | 7854, 4080 |
| 3 | 3927, 2040 |
| 17 | 1309, 680 |
| 77, 40 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Greatest Common Factor of 7854,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 7854
:1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 7854,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 7854,4080 is 102.
Lets's calculate LCM of 385,9153
Given numbers has no common factors except 1. So, there LCM is their product i.e 3523905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/3523905
Therefore, the GCF of Fractions 7854/385,4080/9153 is 102/3523905
Least Common Multiple of 385,9153 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 385,9153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,9153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,9153) x common factors =1 x 1 = 1
LCM(385,9153) = ( 385 × 9153 ) / 1
LCM(385,9153) = 3523905 / 1
LCM(385,9153) = 3523905
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FAQs on GCF of Fractions of 7854/385, 4080/9153
1. What is the HCF of 7854,4080?
The HCF of 7854,4080 is 102
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 7854/385, 4080/9153?
Answer: GCF of Numerators as per given numbers 7854/385, 4080/9153 is
GCF of Numerators i.e. for 7854,4080 is 102
LCM of denominators i.e. for 385,9153 is 3523905.
Thus, GCF of Fractions is 102/3523905.Finally, GCF of Fractions for 7854/385, 4080/9153 is 102/3523905.