GCF of 5586/799, 6551/7312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5586/799, 6551/7312 i.e 1/5842288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5586/799, 6551/7312.
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 5586/799,6551/7312?
Given fractions are 5586/799,6551/7312
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 5586/799,6551/7312, numerators are 5586,6551
Denominators are 799,7312
The GCF of 5586,6551 is 1 .
LCM of 799,7312 is 5842288.
The greatest common factor of 5586/799,6551/7312 = [GCF of 5586,6551]/[LCM of 799,7312]= 1/5842288
Therefore, the GCF of 5586/799,6551/7312 is 1/5842288.
To find the highest common factor of 5586,6551, we have to find the factors of both numbers and list the highest common factor.
The factors of 5586 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793, 5586
The factors of 6551 are 1, 6551
The HCF of 5586,6551 is 1.
Lets's calculate GCF of 5586,6551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5586,6551 By Matching Biggest Common Factor Method
Now, list down the factors of 5586
:1,2,3,6,7,14,19,21,38,42,49,57,98,114,133,147,266,294,399,798,931,1862,2793,5586
Now, list down the factors of 6551
:1,6551
Greatest Common Factor
We found the factors 5586,6551 . The biggest common factor number is the GCF number.
So the greatest common factor 5586,6551 is 1.
Lets's calculate LCM of 799,7312
Given numbers has no common factors except 1. So, there LCM is their product i.e 5842288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5842288
Therefore, the GCF of Fractions 5586/799,6551/7312 is 1/5842288
Least Common Multiple of 799,7312 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 799,7312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,7312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,7312) x common factors =1 x 1 = 1
LCM(799,7312) = ( 799 × 7312 ) / 1
LCM(799,7312) = 5842288 / 1
LCM(799,7312) = 5842288
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5586/799, 6551/7312
1. What is the HCF of 5586,6551?
The HCF of 5586,6551 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 5586/799, 6551/7312?
Answer: GCF of Numerators as per given numbers 5586/799, 6551/7312 is
GCF of Numerators i.e. for 5586,6551 is 1
LCM of denominators i.e. for 799,7312 is 5842288.
Thus, GCF of Fractions is 1/5842288.Finally, GCF of Fractions for 5586/799, 6551/7312 is 1/5842288.