GCF of 1091/123, 4724/943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1091/123, 4724/943 i.e 1/2829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1091/123, 4724/943.
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 1091/123,4724/943?
Given fractions are 1091/123,4724/943
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 1091/123,4724/943, numerators are 1091,4724
Denominators are 123,943
The GCF of 1091,4724 is 1 .
LCM of 123,943 is 2829.
The greatest common factor of 1091/123,4724/943 = [GCF of 1091,4724]/[LCM of 123,943]= 1/2829
Therefore, the GCF of 1091/123,4724/943 is 1/2829.
To find the highest common factor of 1091,4724, we have to find the factors of both numbers and list the highest common factor.
The factors of 1091 are 1, 1091
The factors of 4724 are 1, 2, 4, 1181, 2362, 4724
The HCF of 1091,4724 is 1.
Lets's calculate GCF of 1091,4724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1091,4724 By Matching Biggest Common Factor Method
Now, list down the factors of 1091
:1,1091
Now, list down the factors of 4724
:1,2,4,1181,2362,4724
Greatest Common Factor
We found the factors 1091,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 1091,4724 is 1.
Lets's calculate LCM of 123,943
| 41 | 123, 943 |
| 3, 23 |
∴ So the LCM of the given numbers is 41 x 3 x 23 = 2829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2829
Therefore, the GCF of Fractions 1091/123,4724/943 is 1/2829
Least Common Multiple of 123,943 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 123,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,943) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(123,943) x common factors =41 x 1 = 41
LCM(123,943) = ( 123 × 943 ) / 41
LCM(123,943) = 115989 / 41
LCM(123,943) = 2829
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FAQs on GCF of Fractions of 1091/123, 4724/943
1. What is the HCF of 1091,4724?
The HCF of 1091,4724 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 1091/123, 4724/943?
Answer: GCF of Numerators as per given numbers 1091/123, 4724/943 is
GCF of Numerators i.e. for 1091,4724 is 1
LCM of denominators i.e. for 123,943 is 2829.
Thus, GCF of Fractions is 1/2829.Finally, GCF of Fractions for 1091/123, 4724/943 is 1/2829.