GCF of 1181/412, 8967/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1181/412, 8967/420 i.e 1/43260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1181/412, 8967/420.
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 1181/412,8967/420?
Given fractions are 1181/412,8967/420
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 1181/412,8967/420, numerators are 1181,8967
Denominators are 412,420
The GCF of 1181,8967 is 1 .
LCM of 412,420 is 43260.
The greatest common factor of 1181/412,8967/420 = [GCF of 1181,8967]/[LCM of 412,420]= 1/43260
Therefore, the GCF of 1181/412,8967/420 is 1/43260.
To find the highest common factor of 1181,8967, we have to find the factors of both numbers and list the highest common factor.
The factors of 1181 are 1, 1181
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
The HCF of 1181,8967 is 1.
Lets's calculate GCF of 1181,8967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1181,8967 By Matching Biggest Common Factor Method
Now, list down the factors of 1181
:1,1181
Now, list down the factors of 8967
:1,3,7,21,49,61,147,183,427,1281,2989,8967
Greatest Common Factor
We found the factors 1181,8967 . The biggest common factor number is the GCF number.
So the greatest common factor 1181,8967 is 1.
Lets's calculate LCM of 412,420
| 2 | 412, 420 |
| 2 | 206, 210 |
| 103, 105 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 105 = 43260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43260
Therefore, the GCF of Fractions 1181/412,8967/420 is 1/43260
Least Common Multiple of 412,420 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 412,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,420) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,420) x common factors =4 x 1 = 4
LCM(412,420) = ( 412 × 420 ) / 4
LCM(412,420) = 173040 / 4
LCM(412,420) = 43260
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FAQs on GCF of Fractions of 1181/412, 8967/420
1. What is the HCF of 1181,8967?
The HCF of 1181,8967 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 1181/412, 8967/420?
Answer: GCF of Numerators as per given numbers 1181/412, 8967/420 is
GCF of Numerators i.e. for 1181,8967 is 1
LCM of denominators i.e. for 412,420 is 43260.
Thus, GCF of Fractions is 1/43260.Finally, GCF of Fractions for 1181/412, 8967/420 is 1/43260.