GCF of 2041/865, 6989/1076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2041/865, 6989/1076 i.e 1/930740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2041/865, 6989/1076.
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 2041/865,6989/1076?
Given fractions are 2041/865,6989/1076
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 2041/865,6989/1076, numerators are 2041,6989
Denominators are 865,1076
The GCF of 2041,6989 is 1 .
LCM of 865,1076 is 930740.
The greatest common factor of 2041/865,6989/1076 = [GCF of 2041,6989]/[LCM of 865,1076]= 1/930740
Therefore, the GCF of 2041/865,6989/1076 is 1/930740.
To find the highest common factor of 2041,6989, we have to find the factors of both numbers and list the highest common factor.
The factors of 2041 are 1, 13, 157, 2041
The factors of 6989 are 1, 29, 241, 6989
The HCF of 2041,6989 is 1.
Lets's calculate GCF of 2041,6989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2041,6989 By Matching Biggest Common Factor Method
Now, list down the factors of 2041
:1,13,157,2041
Now, list down the factors of 6989
:1,29,241,6989
Greatest Common Factor
We found the factors 2041,6989 . The biggest common factor number is the GCF number.
So the greatest common factor 2041,6989 is 1.
Lets's calculate LCM of 865,1076
Given numbers has no common factors except 1. So, there LCM is their product i.e 930740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/930740
Therefore, the GCF of Fractions 2041/865,6989/1076 is 1/930740
Least Common Multiple of 865,1076 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 865,1076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,1076) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,1076) x common factors =1 x 1 = 1
LCM(865,1076) = ( 865 × 1076 ) / 1
LCM(865,1076) = 930740 / 1
LCM(865,1076) = 930740
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2041/865, 6989/1076
1. What is the HCF of 2041,6989?
The HCF of 2041,6989 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 2041/865, 6989/1076?
Answer: GCF of Numerators as per given numbers 2041/865, 6989/1076 is
GCF of Numerators i.e. for 2041,6989 is 1
LCM of denominators i.e. for 865,1076 is 930740.
Thus, GCF of Fractions is 1/930740.Finally, GCF of Fractions for 2041/865, 6989/1076 is 1/930740.