GCF of 4945/567, 8526/6187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4945/567, 8526/6187 i.e 1/3508029 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4945/567, 8526/6187.
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 4945/567,8526/6187?
Given fractions are 4945/567,8526/6187
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 4945/567,8526/6187, numerators are 4945,8526
Denominators are 567,6187
The GCF of 4945,8526 is 1 .
LCM of 567,6187 is 3508029.
The greatest common factor of 4945/567,8526/6187 = [GCF of 4945,8526]/[LCM of 567,6187]= 1/3508029
Therefore, the GCF of 4945/567,8526/6187 is 1/3508029.
To find the highest common factor of 4945,8526, we have to find the factors of both numbers and list the highest common factor.
The factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945
The factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526
The HCF of 4945,8526 is 1.
Lets's calculate GCF of 4945,8526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4945,8526 By Matching Biggest Common Factor Method
Now, list down the factors of 4945
:1,5,23,43,115,215,989,4945
Now, list down the factors of 8526
:1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526
Greatest Common Factor
We found the factors 4945,8526 . The biggest common factor number is the GCF number.
So the greatest common factor 4945,8526 is 1.
Lets's calculate LCM of 567,6187
Given numbers has no common factors except 1. So, there LCM is their product i.e 3508029
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3508029
Therefore, the GCF of Fractions 4945/567,8526/6187 is 1/3508029
Least Common Multiple of 567,6187 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 567,6187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,6187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,6187) x common factors =1 x 1 = 1
LCM(567,6187) = ( 567 × 6187 ) / 1
LCM(567,6187) = 3508029 / 1
LCM(567,6187) = 3508029
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FAQs on GCF of Fractions of 4945/567, 8526/6187
1. What is the HCF of 4945,8526?
The HCF of 4945,8526 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 4945/567, 8526/6187?
Answer: GCF of Numerators as per given numbers 4945/567, 8526/6187 is
GCF of Numerators i.e. for 4945,8526 is 1
LCM of denominators i.e. for 567,6187 is 3508029.
Thus, GCF of Fractions is 1/3508029.Finally, GCF of Fractions for 4945/567, 8526/6187 is 1/3508029.