GCF of 2945/689, 8373/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2945/689, 8373/536 i.e 1/369304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2945/689, 8373/536.
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 2945/689,8373/536?
Given fractions are 2945/689,8373/536
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 2945/689,8373/536, numerators are 2945,8373
Denominators are 689,536
The GCF of 2945,8373 is 1 .
LCM of 689,536 is 369304.
The greatest common factor of 2945/689,8373/536 = [GCF of 2945,8373]/[LCM of 689,536]= 1/369304
Therefore, the GCF of 2945/689,8373/536 is 1/369304.
To find the highest common factor of 2945,8373, we have to find the factors of both numbers and list the highest common factor.
The factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945
The factors of 8373 are 1, 3, 2791, 8373
The HCF of 2945,8373 is 1.
Lets's calculate GCF of 2945,8373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2945,8373 By Matching Biggest Common Factor Method
Now, list down the factors of 2945
:1,5,19,31,95,155,589,2945
Now, list down the factors of 8373
:1,3,2791,8373
Greatest Common Factor
We found the factors 2945,8373 . The biggest common factor number is the GCF number.
So the greatest common factor 2945,8373 is 1.
Lets's calculate LCM of 689,536
Given numbers has no common factors except 1. So, there LCM is their product i.e 369304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369304
Therefore, the GCF of Fractions 2945/689,8373/536 is 1/369304
Least Common Multiple of 689,536 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 689,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,536) x common factors =1 x 1 = 1
LCM(689,536) = ( 689 × 536 ) / 1
LCM(689,536) = 369304 / 1
LCM(689,536) = 369304
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FAQs on GCF of Fractions of 2945/689, 8373/536
1. What is the HCF of 2945,8373?
The HCF of 2945,8373 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 2945/689, 8373/536?
Answer: GCF of Numerators as per given numbers 2945/689, 8373/536 is
GCF of Numerators i.e. for 2945,8373 is 1
LCM of denominators i.e. for 689,536 is 369304.
Thus, GCF of Fractions is 1/369304.Finally, GCF of Fractions for 2945/689, 8373/536 is 1/369304.