GCF of 5798/844, 4529/2778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5798/844, 4529/2778 i.e 1/1172316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5798/844, 4529/2778.
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 5798/844,4529/2778?
Given fractions are 5798/844,4529/2778
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 5798/844,4529/2778, numerators are 5798,4529
Denominators are 844,2778
The GCF of 5798,4529 is 1 .
LCM of 844,2778 is 1172316.
The greatest common factor of 5798/844,4529/2778 = [GCF of 5798,4529]/[LCM of 844,2778]= 1/1172316
Therefore, the GCF of 5798/844,4529/2778 is 1/1172316.
To find the highest common factor of 5798,4529, we have to find the factors of both numbers and list the highest common factor.
The factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798
The factors of 4529 are 1, 7, 647, 4529
The HCF of 5798,4529 is 1.
Lets's calculate GCF of 5798,4529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5798,4529 By Matching Biggest Common Factor Method
Now, list down the factors of 5798
:1,2,13,26,223,446,2899,5798
Now, list down the factors of 4529
:1,7,647,4529
Greatest Common Factor
We found the factors 5798,4529 . The biggest common factor number is the GCF number.
So the greatest common factor 5798,4529 is 1.
Lets's calculate LCM of 844,2778
| 2 | 844, 2778 |
| 422, 1389 |
∴ So the LCM of the given numbers is 2 x 422 x 1389 = 1172316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1172316
Therefore, the GCF of Fractions 5798/844,4529/2778 is 1/1172316
Least Common Multiple of 844,2778 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 844,2778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,2778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(844,2778) x common factors =2 x 1 = 2
LCM(844,2778) = ( 844 × 2778 ) / 2
LCM(844,2778) = 2344632 / 2
LCM(844,2778) = 1172316
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FAQs on GCF of Fractions of 5798/844, 4529/2778
1. What is the HCF of 5798,4529?
The HCF of 5798,4529 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 5798/844, 4529/2778?
Answer: GCF of Numerators as per given numbers 5798/844, 4529/2778 is
GCF of Numerators i.e. for 5798,4529 is 1
LCM of denominators i.e. for 844,2778 is 1172316.
Thus, GCF of Fractions is 1/1172316.Finally, GCF of Fractions for 5798/844, 4529/2778 is 1/1172316.