GCF of 9412/185, 6667/3520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9412/185, 6667/3520 i.e 1/130240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9412/185, 6667/3520.
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 9412/185,6667/3520?
Given fractions are 9412/185,6667/3520
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 9412/185,6667/3520, numerators are 9412,6667
Denominators are 185,3520
The GCF of 9412,6667 is 1 .
LCM of 185,3520 is 130240.
The greatest common factor of 9412/185,6667/3520 = [GCF of 9412,6667]/[LCM of 185,3520]= 1/130240
Therefore, the GCF of 9412/185,6667/3520 is 1/130240.
To find the highest common factor of 9412,6667, we have to find the factors of both numbers and list the highest common factor.
The factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412
The factors of 6667 are 1, 59, 113, 6667
The HCF of 9412,6667 is 1.
Lets's calculate GCF of 9412,6667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9412,6667 By Matching Biggest Common Factor Method
Now, list down the factors of 9412
:1,2,4,13,26,52,181,362,724,2353,4706,9412
Now, list down the factors of 6667
:1,59,113,6667
Greatest Common Factor
We found the factors 9412,6667 . The biggest common factor number is the GCF number.
So the greatest common factor 9412,6667 is 1.
Lets's calculate LCM of 185,3520
| 5 | 185, 3520 |
| 37, 704 |
∴ So the LCM of the given numbers is 5 x 37 x 704 = 130240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130240
Therefore, the GCF of Fractions 9412/185,6667/3520 is 1/130240
Least Common Multiple of 185,3520 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 185,3520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,3520) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,3520) x common factors =5 x 1 = 5
LCM(185,3520) = ( 185 × 3520 ) / 5
LCM(185,3520) = 651200 / 5
LCM(185,3520) = 130240
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FAQs on GCF of Fractions of 9412/185, 6667/3520
1. What is the HCF of 9412,6667?
The HCF of 9412,6667 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 9412/185, 6667/3520?
Answer: GCF of Numerators as per given numbers 9412/185, 6667/3520 is
GCF of Numerators i.e. for 9412,6667 is 1
LCM of denominators i.e. for 185,3520 is 130240.
Thus, GCF of Fractions is 1/130240.Finally, GCF of Fractions for 9412/185, 6667/3520 is 1/130240.