GCF of 6874/170, 6099/1037
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6874/170, 6099/1037 i.e 1/10370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6874/170, 6099/1037.
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 6874/170,6099/1037?
Given fractions are 6874/170,6099/1037
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 6874/170,6099/1037, numerators are 6874,6099
Denominators are 170,1037
The GCF of 6874,6099 is 1 .
LCM of 170,1037 is 10370.
The greatest common factor of 6874/170,6099/1037 = [GCF of 6874,6099]/[LCM of 170,1037]= 1/10370
Therefore, the GCF of 6874/170,6099/1037 is 1/10370.
To find the highest common factor of 6874,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 6874,6099 is 1.
Lets's calculate GCF of 6874,6099
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6874,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 6874,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 6874,6099 is 1.
Lets's calculate LCM of 170,1037
| 17 | 170, 1037 |
| 10, 61 |
∴ So the LCM of the given numbers is 17 x 10 x 61 = 10370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10370
Therefore, the GCF of Fractions 6874/170,6099/1037 is 1/10370
Least Common Multiple of 170,1037 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 170,1037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,1037) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(170,1037) x common factors =17 x 1 = 17
LCM(170,1037) = ( 170 × 1037 ) / 17
LCM(170,1037) = 176290 / 17
LCM(170,1037) = 10370
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FAQs on GCF of Fractions of 6874/170, 6099/1037
1. What is the HCF of 6874,6099?
The HCF of 6874,6099 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 6874/170, 6099/1037?
Answer: GCF of Numerators as per given numbers 6874/170, 6099/1037 is
GCF of Numerators i.e. for 6874,6099 is 1
LCM of denominators i.e. for 170,1037 is 10370.
Thus, GCF of Fractions is 1/10370.Finally, GCF of Fractions for 6874/170, 6099/1037 is 1/10370.