GCF of 8152/364, 6349/6961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8152/364, 6349/6961 i.e 1/2533804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8152/364, 6349/6961.
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 8152/364,6349/6961?
Given fractions are 8152/364,6349/6961
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 8152/364,6349/6961, numerators are 8152,6349
Denominators are 364,6961
The GCF of 8152,6349 is 1 .
LCM of 364,6961 is 2533804.
The greatest common factor of 8152/364,6349/6961 = [GCF of 8152,6349]/[LCM of 364,6961]= 1/2533804
Therefore, the GCF of 8152/364,6349/6961 is 1/2533804.
To find the highest common factor of 8152,6349, we have to find the factors of both numbers and list the highest common factor.
The factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152
The factors of 6349 are 1, 7, 907, 6349
The HCF of 8152,6349 is 1.
Lets's calculate GCF of 8152,6349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8152,6349 By Matching Biggest Common Factor Method
Now, list down the factors of 8152
:1,2,4,8,1019,2038,4076,8152
Now, list down the factors of 6349
:1,7,907,6349
Greatest Common Factor
We found the factors 8152,6349 . The biggest common factor number is the GCF number.
So the greatest common factor 8152,6349 is 1.
Lets's calculate LCM of 364,6961
Given numbers has no common factors except 1. So, there LCM is their product i.e 2533804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2533804
Therefore, the GCF of Fractions 8152/364,6349/6961 is 1/2533804
Least Common Multiple of 364,6961 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 364,6961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,6961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,6961) x common factors =1 x 1 = 1
LCM(364,6961) = ( 364 × 6961 ) / 1
LCM(364,6961) = 2533804 / 1
LCM(364,6961) = 2533804
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FAQs on GCF of Fractions of 8152/364, 6349/6961
1. What is the HCF of 8152,6349?
The HCF of 8152,6349 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 8152/364, 6349/6961?
Answer: GCF of Numerators as per given numbers 8152/364, 6349/6961 is
GCF of Numerators i.e. for 8152,6349 is 1
LCM of denominators i.e. for 364,6961 is 2533804.
Thus, GCF of Fractions is 1/2533804.Finally, GCF of Fractions for 8152/364, 6349/6961 is 1/2533804.