GCF of 43/803, 2917/4028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/803, 2917/4028 i.e 1/3234484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/803, 2917/4028.
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 43/803,2917/4028?
Given fractions are 43/803,2917/4028
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 43/803,2917/4028, numerators are 43,2917
Denominators are 803,4028
The GCF of 43,2917 is 1 .
LCM of 803,4028 is 3234484.
The greatest common factor of 43/803,2917/4028 = [GCF of 43,2917]/[LCM of 803,4028]= 1/3234484
Therefore, the GCF of 43/803,2917/4028 is 1/3234484.
To find the highest common factor of 43,2917, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 2917 are 1, 2917
The HCF of 43,2917 is 1.
Lets's calculate GCF of 43,2917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,2917 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 2917
:1,2917
Greatest Common Factor
We found the factors 43,2917 . The biggest common factor number is the GCF number.
So the greatest common factor 43,2917 is 1.
Lets's calculate LCM of 803,4028
Given numbers has no common factors except 1. So, there LCM is their product i.e 3234484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3234484
Therefore, the GCF of Fractions 43/803,2917/4028 is 1/3234484
Least Common Multiple of 803,4028 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 803,4028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,4028) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,4028) x common factors =1 x 1 = 1
LCM(803,4028) = ( 803 × 4028 ) / 1
LCM(803,4028) = 3234484 / 1
LCM(803,4028) = 3234484
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FAQs on GCF of Fractions of 43/803, 2917/4028
1. What is the HCF of 43,2917?
The HCF of 43,2917 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 43/803, 2917/4028?
Answer: GCF of Numerators as per given numbers 43/803, 2917/4028 is
GCF of Numerators i.e. for 43,2917 is 1
LCM of denominators i.e. for 803,4028 is 3234484.
Thus, GCF of Fractions is 1/3234484.Finally, GCF of Fractions for 43/803, 2917/4028 is 1/3234484.