GCF of 5807/420, 2804/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5807/420, 2804/419 i.e 1/175980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5807/420, 2804/419.
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 5807/420,2804/419?
Given fractions are 5807/420,2804/419
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 5807/420,2804/419, numerators are 5807,2804
Denominators are 420,419
The GCF of 5807,2804 is 1 .
LCM of 420,419 is 175980.
The greatest common factor of 5807/420,2804/419 = [GCF of 5807,2804]/[LCM of 420,419]= 1/175980
Therefore, the GCF of 5807/420,2804/419 is 1/175980.
To find the highest common factor of 5807,2804, we have to find the factors of both numbers and list the highest common factor.
The factors of 5807 are 1, 5807
The factors of 2804 are 1, 2, 4, 701, 1402, 2804
The HCF of 5807,2804 is 1.
Lets's calculate GCF of 5807,2804
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5807,2804 By Matching Biggest Common Factor Method
Now, list down the factors of 5807
:1,5807
Now, list down the factors of 2804
:1,2,4,701,1402,2804
Greatest Common Factor
We found the factors 5807,2804 . The biggest common factor number is the GCF number.
So the greatest common factor 5807,2804 is 1.
Lets's calculate LCM of 420,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 175980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175980
Therefore, the GCF of Fractions 5807/420,2804/419 is 1/175980
Least Common Multiple of 420,419 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 420,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,419) x common factors =1 x 1 = 1
LCM(420,419) = ( 420 × 419 ) / 1
LCM(420,419) = 175980 / 1
LCM(420,419) = 175980
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FAQs on GCF of Fractions of 5807/420, 2804/419
1. What is the HCF of 5807,2804?
The HCF of 5807,2804 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 5807/420, 2804/419?
Answer: GCF of Numerators as per given numbers 5807/420, 2804/419 is
GCF of Numerators i.e. for 5807,2804 is 1
LCM of denominators i.e. for 420,419 is 175980.
Thus, GCF of Fractions is 1/175980.Finally, GCF of Fractions for 5807/420, 2804/419 is 1/175980.