GCF of 3052/311, 5797/3501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3052/311, 5797/3501 i.e 1/1088811 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3052/311, 5797/3501.
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 3052/311,5797/3501?
Given fractions are 3052/311,5797/3501
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 3052/311,5797/3501, numerators are 3052,5797
Denominators are 311,3501
The GCF of 3052,5797 is 1 .
LCM of 311,3501 is 1088811.
The greatest common factor of 3052/311,5797/3501 = [GCF of 3052,5797]/[LCM of 311,3501]= 1/1088811
Therefore, the GCF of 3052/311,5797/3501 is 1/1088811.
To find the highest common factor of 3052,5797, we have to find the factors of both numbers and list the highest common factor.
The factors of 3052 are 1, 2, 4, 7, 14, 28, 109, 218, 436, 763, 1526, 3052
The factors of 5797 are 1, 11, 17, 31, 187, 341, 527, 5797
The HCF of 3052,5797 is 1.
Lets's calculate GCF of 3052,5797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3052,5797 By Matching Biggest Common Factor Method
Now, list down the factors of 3052
:1,2,4,7,14,28,109,218,436,763,1526,3052
Now, list down the factors of 5797
:1,11,17,31,187,341,527,5797
Greatest Common Factor
We found the factors 3052,5797 . The biggest common factor number is the GCF number.
So the greatest common factor 3052,5797 is 1.
Lets's calculate LCM of 311,3501
Given numbers has no common factors except 1. So, there LCM is their product i.e 1088811
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1088811
Therefore, the GCF of Fractions 3052/311,5797/3501 is 1/1088811
Least Common Multiple of 311,3501 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 311,3501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,3501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,3501) x common factors =1 x 1 = 1
LCM(311,3501) = ( 311 × 3501 ) / 1
LCM(311,3501) = 1088811 / 1
LCM(311,3501) = 1088811
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FAQs on GCF of Fractions of 3052/311, 5797/3501
1. What is the HCF of 3052,5797?
The HCF of 3052,5797 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 3052/311, 5797/3501?
Answer: GCF of Numerators as per given numbers 3052/311, 5797/3501 is
GCF of Numerators i.e. for 3052,5797 is 1
LCM of denominators i.e. for 311,3501 is 1088811.
Thus, GCF of Fractions is 1/1088811.Finally, GCF of Fractions for 3052/311, 5797/3501 is 1/1088811.