GCF of 5852/311, 8501/6545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5852/311, 8501/6545 i.e 1/2035495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5852/311, 8501/6545.
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 5852/311,8501/6545?
Given fractions are 5852/311,8501/6545
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 5852/311,8501/6545, numerators are 5852,8501
Denominators are 311,6545
The GCF of 5852,8501 is 1 .
LCM of 311,6545 is 2035495.
The greatest common factor of 5852/311,8501/6545 = [GCF of 5852,8501]/[LCM of 311,6545]= 1/2035495
Therefore, the GCF of 5852/311,8501/6545 is 1/2035495.
To find the highest common factor of 5852,8501, we have to find the factors of both numbers and list the highest common factor.
The factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852
The factors of 8501 are 1, 8501
The HCF of 5852,8501 is 1.
Lets's calculate GCF of 5852,8501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5852,8501 By Matching Biggest Common Factor Method
Now, list down the factors of 5852
:1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852
Now, list down the factors of 8501
:1,8501
Greatest Common Factor
We found the factors 5852,8501 . The biggest common factor number is the GCF number.
So the greatest common factor 5852,8501 is 1.
Lets's calculate LCM of 311,6545
Given numbers has no common factors except 1. So, there LCM is their product i.e 2035495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2035495
Therefore, the GCF of Fractions 5852/311,8501/6545 is 1/2035495
Least Common Multiple of 311,6545 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 311,6545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,6545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,6545) x common factors =1 x 1 = 1
LCM(311,6545) = ( 311 × 6545 ) / 1
LCM(311,6545) = 2035495 / 1
LCM(311,6545) = 2035495
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FAQs on GCF of Fractions of 5852/311, 8501/6545
1. What is the HCF of 5852,8501?
The HCF of 5852,8501 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 5852/311, 8501/6545?
Answer: GCF of Numerators as per given numbers 5852/311, 8501/6545 is
GCF of Numerators i.e. for 5852,8501 is 1
LCM of denominators i.e. for 311,6545 is 2035495.
Thus, GCF of Fractions is 1/2035495.Finally, GCF of Fractions for 5852/311, 8501/6545 is 1/2035495.