GCF of 5943/178, 7001/3660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5943/178, 7001/3660 i.e 1/325740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5943/178, 7001/3660.
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 5943/178,7001/3660?
Given fractions are 5943/178,7001/3660
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 5943/178,7001/3660, numerators are 5943,7001
Denominators are 178,3660
The GCF of 5943,7001 is 1 .
LCM of 178,3660 is 325740.
The greatest common factor of 5943/178,7001/3660 = [GCF of 5943,7001]/[LCM of 178,3660]= 1/325740
Therefore, the GCF of 5943/178,7001/3660 is 1/325740.
To find the highest common factor of 5943,7001, we have to find the factors of both numbers and list the highest common factor.
The factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943
The factors of 7001 are 1, 7001
The HCF of 5943,7001 is 1.
Lets's calculate GCF of 5943,7001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5943,7001 By Matching Biggest Common Factor Method
Now, list down the factors of 5943
:1,3,7,21,283,849,1981,5943
Now, list down the factors of 7001
:1,7001
Greatest Common Factor
We found the factors 5943,7001 . The biggest common factor number is the GCF number.
So the greatest common factor 5943,7001 is 1.
Lets's calculate LCM of 178,3660
| 2 | 178, 3660 |
| 89, 1830 |
∴ So the LCM of the given numbers is 2 x 89 x 1830 = 325740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325740
Therefore, the GCF of Fractions 5943/178,7001/3660 is 1/325740
Least Common Multiple of 178,3660 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 178,3660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,3660) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,3660) x common factors =2 x 1 = 2
LCM(178,3660) = ( 178 × 3660 ) / 2
LCM(178,3660) = 651480 / 2
LCM(178,3660) = 325740
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FAQs on GCF of Fractions of 5943/178, 7001/3660
1. What is the HCF of 5943,7001?
The HCF of 5943,7001 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 5943/178, 7001/3660?
Answer: GCF of Numerators as per given numbers 5943/178, 7001/3660 is
GCF of Numerators i.e. for 5943,7001 is 1
LCM of denominators i.e. for 178,3660 is 325740.
Thus, GCF of Fractions is 1/325740.Finally, GCF of Fractions for 5943/178, 7001/3660 is 1/325740.