GCF of 9236/574, 2141/7120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9236/574, 2141/7120 i.e 1/2043440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9236/574, 2141/7120.
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 9236/574,2141/7120?
Given fractions are 9236/574,2141/7120
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 9236/574,2141/7120, numerators are 9236,2141
Denominators are 574,7120
The GCF of 9236,2141 is 1 .
LCM of 574,7120 is 2043440.
The greatest common factor of 9236/574,2141/7120 = [GCF of 9236,2141]/[LCM of 574,7120]= 1/2043440
Therefore, the GCF of 9236/574,2141/7120 is 1/2043440.
To find the highest common factor of 9236,2141, we have to find the factors of both numbers and list the highest common factor.
The factors of 9236 are 1, 2, 4, 2309, 4618, 9236
The factors of 2141 are 1, 2141
The HCF of 9236,2141 is 1.
Lets's calculate GCF of 9236,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9236,2141 By Matching Biggest Common Factor Method
Now, list down the factors of 9236
:1,2,4,2309,4618,9236
Now, list down the factors of 2141
:1,2141
Greatest Common Factor
We found the factors 9236,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 9236,2141 is 1.
Lets's calculate LCM of 574,7120
| 2 | 574, 7120 |
| 287, 3560 |
∴ So the LCM of the given numbers is 2 x 287 x 3560 = 2043440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2043440
Therefore, the GCF of Fractions 9236/574,2141/7120 is 1/2043440
Least Common Multiple of 574,7120 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 574,7120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,7120) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,7120) x common factors =2 x 1 = 2
LCM(574,7120) = ( 574 × 7120 ) / 2
LCM(574,7120) = 4086880 / 2
LCM(574,7120) = 2043440
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FAQs on GCF of Fractions of 9236/574, 2141/7120
1. What is the HCF of 9236,2141?
The HCF of 9236,2141 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 9236/574, 2141/7120?
Answer: GCF of Numerators as per given numbers 9236/574, 2141/7120 is
GCF of Numerators i.e. for 9236,2141 is 1
LCM of denominators i.e. for 574,7120 is 2043440.
Thus, GCF of Fractions is 1/2043440.Finally, GCF of Fractions for 9236/574, 2141/7120 is 1/2043440.