GCF of 7161/158, 4056/2445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7161/158, 4056/2445 i.e 3/386310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7161/158, 4056/2445.
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 7161/158,4056/2445?
Given fractions are 7161/158,4056/2445
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 7161/158,4056/2445, numerators are 7161,4056
Denominators are 158,2445
The GCF of 7161,4056 is 3 .
LCM of 158,2445 is 386310.
The greatest common factor of 7161/158,4056/2445 = [GCF of 7161,4056]/[LCM of 158,2445]= 3/386310
Therefore, the GCF of 7161/158,4056/2445 is 3/386310.
To find the highest common factor of 7161,4056, we have to find the factors of both numbers and list the highest common factor.
The factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161
The factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056
The HCF of 7161,4056 is 3.
Lets's calculate GCF of 7161,4056
| 3 | 7161, 4056 |
| 2387, 1352 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7161,4056 By Matching Biggest Common Factor Method
Now, list down the factors of 7161
:1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161
Now, list down the factors of 4056
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056
Greatest Common Factor
We found the factors 7161,4056 . The biggest common factor number is the GCF number.
So the greatest common factor 7161,4056 is 3.
Lets's calculate LCM of 158,2445
Given numbers has no common factors except 1. So, there LCM is their product i.e 386310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/386310
Therefore, the GCF of Fractions 7161/158,4056/2445 is 3/386310
Least Common Multiple of 158,2445 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 158,2445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,2445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,2445) x common factors =1 x 1 = 1
LCM(158,2445) = ( 158 × 2445 ) / 1
LCM(158,2445) = 386310 / 1
LCM(158,2445) = 386310
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FAQs on GCF of Fractions of 7161/158, 4056/2445
1. What is the HCF of 7161,4056?
The HCF of 7161,4056 is 3
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 7161/158, 4056/2445?
Answer: GCF of Numerators as per given numbers 7161/158, 4056/2445 is
GCF of Numerators i.e. for 7161,4056 is 3
LCM of denominators i.e. for 158,2445 is 386310.
Thus, GCF of Fractions is 3/386310.Finally, GCF of Fractions for 7161/158, 4056/2445 is 3/386310.