GCF of 6139/642, 6185/8109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6139/642, 6185/8109 i.e 1/1735326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6139/642, 6185/8109.
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 6139/642,6185/8109?
Given fractions are 6139/642,6185/8109
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 6139/642,6185/8109, numerators are 6139,6185
Denominators are 642,8109
The GCF of 6139,6185 is 1 .
LCM of 642,8109 is 1735326.
The greatest common factor of 6139/642,6185/8109 = [GCF of 6139,6185]/[LCM of 642,8109]= 1/1735326
Therefore, the GCF of 6139/642,6185/8109 is 1/1735326.
To find the highest common factor of 6139,6185, we have to find the factors of both numbers and list the highest common factor.
The factors of 6139 are 1, 7, 877, 6139
The factors of 6185 are 1, 5, 1237, 6185
The HCF of 6139,6185 is 1.
Lets's calculate GCF of 6139,6185
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6139,6185 By Matching Biggest Common Factor Method
Now, list down the factors of 6139
:1,7,877,6139
Now, list down the factors of 6185
:1,5,1237,6185
Greatest Common Factor
We found the factors 6139,6185 . The biggest common factor number is the GCF number.
So the greatest common factor 6139,6185 is 1.
Lets's calculate LCM of 642,8109
| 3 | 642, 8109 |
| 214, 2703 |
∴ So the LCM of the given numbers is 3 x 214 x 2703 = 1735326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1735326
Therefore, the GCF of Fractions 6139/642,6185/8109 is 1/1735326
Least Common Multiple of 642,8109 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 642,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,8109) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,8109) x common factors =3 x 1 = 3
LCM(642,8109) = ( 642 × 8109 ) / 3
LCM(642,8109) = 5205978 / 3
LCM(642,8109) = 1735326
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FAQs on GCF of Fractions of 6139/642, 6185/8109
1. What is the HCF of 6139,6185?
The HCF of 6139,6185 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 6139/642, 6185/8109?
Answer: GCF of Numerators as per given numbers 6139/642, 6185/8109 is
GCF of Numerators i.e. for 6139,6185 is 1
LCM of denominators i.e. for 642,8109 is 1735326.
Thus, GCF of Fractions is 1/1735326.Finally, GCF of Fractions for 6139/642, 6185/8109 is 1/1735326.