GCF of 1006/115, 1141/3160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1006/115, 1141/3160 i.e 1/72680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1006/115, 1141/3160.
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 1006/115,1141/3160?
Given fractions are 1006/115,1141/3160
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 1006/115,1141/3160, numerators are 1006,1141
Denominators are 115,3160
The GCF of 1006,1141 is 1 .
LCM of 115,3160 is 72680.
The greatest common factor of 1006/115,1141/3160 = [GCF of 1006,1141]/[LCM of 115,3160]= 1/72680
Therefore, the GCF of 1006/115,1141/3160 is 1/72680.
To find the highest common factor of 1006,1141, we have to find the factors of both numbers and list the highest common factor.
The factors of 1006 are 1, 2, 503, 1006
The factors of 1141 are 1, 7, 163, 1141
The HCF of 1006,1141 is 1.
Lets's calculate GCF of 1006,1141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1006,1141 By Matching Biggest Common Factor Method
Now, list down the factors of 1006
:1,2,503,1006
Now, list down the factors of 1141
:1,7,163,1141
Greatest Common Factor
We found the factors 1006,1141 . The biggest common factor number is the GCF number.
So the greatest common factor 1006,1141 is 1.
Lets's calculate LCM of 115,3160
| 5 | 115, 3160 |
| 23, 632 |
∴ So the LCM of the given numbers is 5 x 23 x 632 = 72680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72680
Therefore, the GCF of Fractions 1006/115,1141/3160 is 1/72680
Least Common Multiple of 115,3160 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 115,3160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,3160) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(115,3160) x common factors =5 x 1 = 5
LCM(115,3160) = ( 115 × 3160 ) / 5
LCM(115,3160) = 363400 / 5
LCM(115,3160) = 72680
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FAQs on GCF of Fractions of 1006/115, 1141/3160
1. What is the HCF of 1006,1141?
The HCF of 1006,1141 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 1006/115, 1141/3160?
Answer: GCF of Numerators as per given numbers 1006/115, 1141/3160 is
GCF of Numerators i.e. for 1006,1141 is 1
LCM of denominators i.e. for 115,3160 is 72680.
Thus, GCF of Fractions is 1/72680.Finally, GCF of Fractions for 1006/115, 1141/3160 is 1/72680.