GCF of 7045/359, 5862/943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7045/359, 5862/943 i.e 1/338537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7045/359, 5862/943.
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 7045/359,5862/943?
Given fractions are 7045/359,5862/943
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 7045/359,5862/943, numerators are 7045,5862
Denominators are 359,943
The GCF of 7045,5862 is 1 .
LCM of 359,943 is 338537.
The greatest common factor of 7045/359,5862/943 = [GCF of 7045,5862]/[LCM of 359,943]= 1/338537
Therefore, the GCF of 7045/359,5862/943 is 1/338537.
To find the highest common factor of 7045,5862, we have to find the factors of both numbers and list the highest common factor.
The factors of 7045 are 1, 5, 1409, 7045
The factors of 5862 are 1, 2, 3, 6, 977, 1954, 2931, 5862
The HCF of 7045,5862 is 1.
Lets's calculate GCF of 7045,5862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7045,5862 By Matching Biggest Common Factor Method
Now, list down the factors of 7045
:1,5,1409,7045
Now, list down the factors of 5862
:1,2,3,6,977,1954,2931,5862
Greatest Common Factor
We found the factors 7045,5862 . The biggest common factor number is the GCF number.
So the greatest common factor 7045,5862 is 1.
Lets's calculate LCM of 359,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 338537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338537
Therefore, the GCF of Fractions 7045/359,5862/943 is 1/338537
Least Common Multiple of 359,943 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 359,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,943) x common factors =1 x 1 = 1
LCM(359,943) = ( 359 × 943 ) / 1
LCM(359,943) = 338537 / 1
LCM(359,943) = 338537
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FAQs on GCF of Fractions of 7045/359, 5862/943
1. What is the HCF of 7045,5862?
The HCF of 7045,5862 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 7045/359, 5862/943?
Answer: GCF of Numerators as per given numbers 7045/359, 5862/943 is
GCF of Numerators i.e. for 7045,5862 is 1
LCM of denominators i.e. for 359,943 is 338537.
Thus, GCF of Fractions is 1/338537.Finally, GCF of Fractions for 7045/359, 5862/943 is 1/338537.