GCF of 5795/742, 6921/1094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5795/742, 6921/1094 i.e 1/405874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5795/742, 6921/1094.
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 5795/742,6921/1094?
Given fractions are 5795/742,6921/1094
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 5795/742,6921/1094, numerators are 5795,6921
Denominators are 742,1094
The GCF of 5795,6921 is 1 .
LCM of 742,1094 is 405874.
The greatest common factor of 5795/742,6921/1094 = [GCF of 5795,6921]/[LCM of 742,1094]= 1/405874
Therefore, the GCF of 5795/742,6921/1094 is 1/405874.
To find the highest common factor of 5795,6921, we have to find the factors of both numbers and list the highest common factor.
The factors of 5795 are 1, 5, 19, 61, 95, 305, 1159, 5795
The factors of 6921 are 1, 3, 9, 769, 2307, 6921
The HCF of 5795,6921 is 1.
Lets's calculate GCF of 5795,6921
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5795,6921 By Matching Biggest Common Factor Method
Now, list down the factors of 5795
:1,5,19,61,95,305,1159,5795
Now, list down the factors of 6921
:1,3,9,769,2307,6921
Greatest Common Factor
We found the factors 5795,6921 . The biggest common factor number is the GCF number.
So the greatest common factor 5795,6921 is 1.
Lets's calculate LCM of 742,1094
| 2 | 742, 1094 |
| 371, 547 |
∴ So the LCM of the given numbers is 2 x 371 x 547 = 405874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405874
Therefore, the GCF of Fractions 5795/742,6921/1094 is 1/405874
Least Common Multiple of 742,1094 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 742,1094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,1094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,1094) x common factors =2 x 1 = 2
LCM(742,1094) = ( 742 × 1094 ) / 2
LCM(742,1094) = 811748 / 2
LCM(742,1094) = 405874
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FAQs on GCF of Fractions of 5795/742, 6921/1094
1. What is the HCF of 5795,6921?
The HCF of 5795,6921 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 5795/742, 6921/1094?
Answer: GCF of Numerators as per given numbers 5795/742, 6921/1094 is
GCF of Numerators i.e. for 5795,6921 is 1
LCM of denominators i.e. for 742,1094 is 405874.
Thus, GCF of Fractions is 1/405874.Finally, GCF of Fractions for 5795/742, 6921/1094 is 1/405874.