GCF of 1182/420, 4642/431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1182/420, 4642/431 i.e 2/181020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1182/420, 4642/431.
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 1182/420,4642/431?
Given fractions are 1182/420,4642/431
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 1182/420,4642/431, numerators are 1182,4642
Denominators are 420,431
The GCF of 1182,4642 is 2 .
LCM of 420,431 is 181020.
The greatest common factor of 1182/420,4642/431 = [GCF of 1182,4642]/[LCM of 420,431]= 2/181020
Therefore, the GCF of 1182/420,4642/431 is 2/181020.
To find the highest common factor of 1182,4642, we have to find the factors of both numbers and list the highest common factor.
The factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182
The factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642
The HCF of 1182,4642 is 2.
Lets's calculate GCF of 1182,4642
| 2 | 1182, 4642 |
| 591, 2321 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1182,4642 By Matching Biggest Common Factor Method
Now, list down the factors of 1182
:1,2,3,6,197,394,591,1182
Now, list down the factors of 4642
:1,2,11,22,211,422,2321,4642
Greatest Common Factor
We found the factors 1182,4642 . The biggest common factor number is the GCF number.
So the greatest common factor 1182,4642 is 2.
Lets's calculate LCM of 420,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 181020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181020
Therefore, the GCF of Fractions 1182/420,4642/431 is 2/181020
Least Common Multiple of 420,431 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 420,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,431) x common factors =1 x 1 = 1
LCM(420,431) = ( 420 × 431 ) / 1
LCM(420,431) = 181020 / 1
LCM(420,431) = 181020
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FAQs on GCF of Fractions of 1182/420, 4642/431
1. What is the HCF of 1182,4642?
The HCF of 1182,4642 is 2
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 1182/420, 4642/431?
Answer: GCF of Numerators as per given numbers 1182/420, 4642/431 is
GCF of Numerators i.e. for 1182,4642 is 2
LCM of denominators i.e. for 420,431 is 181020.
Thus, GCF of Fractions is 2/181020.Finally, GCF of Fractions for 1182/420, 4642/431 is 2/181020.