GCF of 6030/260, 6977/6619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6030/260, 6977/6619 i.e 1/1720940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6030/260, 6977/6619.
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 6030/260,6977/6619?
Given fractions are 6030/260,6977/6619
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 6030/260,6977/6619, numerators are 6030,6977
Denominators are 260,6619
The GCF of 6030,6977 is 1 .
LCM of 260,6619 is 1720940.
The greatest common factor of 6030/260,6977/6619 = [GCF of 6030,6977]/[LCM of 260,6619]= 1/1720940
Therefore, the GCF of 6030/260,6977/6619 is 1/1720940.
To find the highest common factor of 6030,6977, we have to find the factors of both numbers and list the highest common factor.
The factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030
The factors of 6977 are 1, 6977
The HCF of 6030,6977 is 1.
Lets's calculate GCF of 6030,6977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6030,6977 By Matching Biggest Common Factor Method
Now, list down the factors of 6030
:1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Now, list down the factors of 6977
:1,6977
Greatest Common Factor
We found the factors 6030,6977 . The biggest common factor number is the GCF number.
So the greatest common factor 6030,6977 is 1.
Lets's calculate LCM of 260,6619
Given numbers has no common factors except 1. So, there LCM is their product i.e 1720940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1720940
Therefore, the GCF of Fractions 6030/260,6977/6619 is 1/1720940
Least Common Multiple of 260,6619 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 260,6619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,6619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(260,6619) x common factors =1 x 1 = 1
LCM(260,6619) = ( 260 × 6619 ) / 1
LCM(260,6619) = 1720940 / 1
LCM(260,6619) = 1720940
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FAQs on GCF of Fractions of 6030/260, 6977/6619
1. What is the HCF of 6030,6977?
The HCF of 6030,6977 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 6030/260, 6977/6619?
Answer: GCF of Numerators as per given numbers 6030/260, 6977/6619 is
GCF of Numerators i.e. for 6030,6977 is 1
LCM of denominators i.e. for 260,6619 is 1720940.
Thus, GCF of Fractions is 1/1720940.Finally, GCF of Fractions for 6030/260, 6977/6619 is 1/1720940.