GCF of 6973/301, 2768/2581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6973/301, 2768/2581 i.e 1/776881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6973/301, 2768/2581.
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 6973/301,2768/2581?
Given fractions are 6973/301,2768/2581
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 6973/301,2768/2581, numerators are 6973,2768
Denominators are 301,2581
The GCF of 6973,2768 is 1 .
LCM of 301,2581 is 776881.
The greatest common factor of 6973/301,2768/2581 = [GCF of 6973,2768]/[LCM of 301,2581]= 1/776881
Therefore, the GCF of 6973/301,2768/2581 is 1/776881.
To find the highest common factor of 6973,2768, we have to find the factors of both numbers and list the highest common factor.
The factors of 6973 are 1, 19, 367, 6973
The factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768
The HCF of 6973,2768 is 1.
Lets's calculate GCF of 6973,2768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6973,2768 By Matching Biggest Common Factor Method
Now, list down the factors of 6973
:1,19,367,6973
Now, list down the factors of 2768
:1,2,4,8,16,173,346,692,1384,2768
Greatest Common Factor
We found the factors 6973,2768 . The biggest common factor number is the GCF number.
So the greatest common factor 6973,2768 is 1.
Lets's calculate LCM of 301,2581
Given numbers has no common factors except 1. So, there LCM is their product i.e 776881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/776881
Therefore, the GCF of Fractions 6973/301,2768/2581 is 1/776881
Least Common Multiple of 301,2581 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 301,2581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,2581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,2581) x common factors =1 x 1 = 1
LCM(301,2581) = ( 301 × 2581 ) / 1
LCM(301,2581) = 776881 / 1
LCM(301,2581) = 776881
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FAQs on GCF of Fractions of 6973/301, 2768/2581
1. What is the HCF of 6973,2768?
The HCF of 6973,2768 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 6973/301, 2768/2581?
Answer: GCF of Numerators as per given numbers 6973/301, 2768/2581 is
GCF of Numerators i.e. for 6973,2768 is 1
LCM of denominators i.e. for 301,2581 is 776881.
Thus, GCF of Fractions is 1/776881.Finally, GCF of Fractions for 6973/301, 2768/2581 is 1/776881.