GCF of 3145/861, 5549/9373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3145/861, 5549/9373 i.e 1/1152879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3145/861, 5549/9373.
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 3145/861,5549/9373?
Given fractions are 3145/861,5549/9373
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 3145/861,5549/9373, numerators are 3145,5549
Denominators are 861,9373
The GCF of 3145,5549 is 1 .
LCM of 861,9373 is 1152879.
The greatest common factor of 3145/861,5549/9373 = [GCF of 3145,5549]/[LCM of 861,9373]= 1/1152879
Therefore, the GCF of 3145/861,5549/9373 is 1/1152879.
To find the highest common factor of 3145,5549, we have to find the factors of both numbers and list the highest common factor.
The factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145
The factors of 5549 are 1, 31, 179, 5549
The HCF of 3145,5549 is 1.
Lets's calculate GCF of 3145,5549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3145,5549 By Matching Biggest Common Factor Method
Now, list down the factors of 3145
:1,5,17,37,85,185,629,3145
Now, list down the factors of 5549
:1,31,179,5549
Greatest Common Factor
We found the factors 3145,5549 . The biggest common factor number is the GCF number.
So the greatest common factor 3145,5549 is 1.
Lets's calculate LCM of 861,9373
| 7 | 861, 9373 |
| 123, 1339 |
∴ So the LCM of the given numbers is 7 x 123 x 1339 = 1152879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1152879
Therefore, the GCF of Fractions 3145/861,5549/9373 is 1/1152879
Least Common Multiple of 861,9373 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 861,9373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,9373) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(861,9373) x common factors =7 x 1 = 7
LCM(861,9373) = ( 861 × 9373 ) / 7
LCM(861,9373) = 8070153 / 7
LCM(861,9373) = 1152879
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FAQs on GCF of Fractions of 3145/861, 5549/9373
1. What is the HCF of 3145,5549?
The HCF of 3145,5549 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 3145/861, 5549/9373?
Answer: GCF of Numerators as per given numbers 3145/861, 5549/9373 is
GCF of Numerators i.e. for 3145,5549 is 1
LCM of denominators i.e. for 861,9373 is 1152879.
Thus, GCF of Fractions is 1/1152879.Finally, GCF of Fractions for 3145/861, 5549/9373 is 1/1152879.