GCF of 3101/187, 9078/3431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3101/187, 9078/3431 i.e 1/641597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3101/187, 9078/3431.
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 3101/187,9078/3431?
Given fractions are 3101/187,9078/3431
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 3101/187,9078/3431, numerators are 3101,9078
Denominators are 187,3431
The GCF of 3101,9078 is 1 .
LCM of 187,3431 is 641597.
The greatest common factor of 3101/187,9078/3431 = [GCF of 3101,9078]/[LCM of 187,3431]= 1/641597
Therefore, the GCF of 3101/187,9078/3431 is 1/641597.
To find the highest common factor of 3101,9078, we have to find the factors of both numbers and list the highest common factor.
The factors of 3101 are 1, 7, 443, 3101
The factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
The HCF of 3101,9078 is 1.
Lets's calculate GCF of 3101,9078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3101,9078 By Matching Biggest Common Factor Method
Now, list down the factors of 3101
:1,7,443,3101
Now, list down the factors of 9078
:1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078
Greatest Common Factor
We found the factors 3101,9078 . The biggest common factor number is the GCF number.
So the greatest common factor 3101,9078 is 1.
Lets's calculate LCM of 187,3431
Given numbers has no common factors except 1. So, there LCM is their product i.e 641597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641597
Therefore, the GCF of Fractions 3101/187,9078/3431 is 1/641597
Least Common Multiple of 187,3431 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 187,3431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,3431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,3431) x common factors =1 x 1 = 1
LCM(187,3431) = ( 187 × 3431 ) / 1
LCM(187,3431) = 641597 / 1
LCM(187,3431) = 641597
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FAQs on GCF of Fractions of 3101/187, 9078/3431
1. What is the HCF of 3101,9078?
The HCF of 3101,9078 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 3101/187, 9078/3431?
Answer: GCF of Numerators as per given numbers 3101/187, 9078/3431 is
GCF of Numerators i.e. for 3101,9078 is 1
LCM of denominators i.e. for 187,3431 is 641597.
Thus, GCF of Fractions is 1/641597.Finally, GCF of Fractions for 3101/187, 9078/3431 is 1/641597.