GCF of 8501/893, 1431/7139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8501/893, 1431/7139 i.e 1/6375127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8501/893, 1431/7139.
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 8501/893,1431/7139?
Given fractions are 8501/893,1431/7139
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 8501/893,1431/7139, numerators are 8501,1431
Denominators are 893,7139
The GCF of 8501,1431 is 1 .
LCM of 893,7139 is 6375127.
The greatest common factor of 8501/893,1431/7139 = [GCF of 8501,1431]/[LCM of 893,7139]= 1/6375127
Therefore, the GCF of 8501/893,1431/7139 is 1/6375127.
To find the highest common factor of 8501,1431, we have to find the factors of both numbers and list the highest common factor.
The factors of 8501 are 1, 8501
The factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431
The HCF of 8501,1431 is 1.
Lets's calculate GCF of 8501,1431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8501,1431 By Matching Biggest Common Factor Method
Now, list down the factors of 8501
:1,8501
Now, list down the factors of 1431
:1,3,9,27,53,159,477,1431
Greatest Common Factor
We found the factors 8501,1431 . The biggest common factor number is the GCF number.
So the greatest common factor 8501,1431 is 1.
Lets's calculate LCM of 893,7139
Given numbers has no common factors except 1. So, there LCM is their product i.e 6375127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6375127
Therefore, the GCF of Fractions 8501/893,1431/7139 is 1/6375127
Least Common Multiple of 893,7139 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 893,7139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,7139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,7139) x common factors =1 x 1 = 1
LCM(893,7139) = ( 893 × 7139 ) / 1
LCM(893,7139) = 6375127 / 1
LCM(893,7139) = 6375127
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FAQs on GCF of Fractions of 8501/893, 1431/7139
1. What is the HCF of 8501,1431?
The HCF of 8501,1431 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 8501/893, 1431/7139?
Answer: GCF of Numerators as per given numbers 8501/893, 1431/7139 is
GCF of Numerators i.e. for 8501,1431 is 1
LCM of denominators i.e. for 893,7139 is 6375127.
Thus, GCF of Fractions is 1/6375127.Finally, GCF of Fractions for 8501/893, 1431/7139 is 1/6375127.