GCF of 2821/761, 5118/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2821/761, 5118/421 i.e 1/320381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2821/761, 5118/421.
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 2821/761,5118/421?
Given fractions are 2821/761,5118/421
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 2821/761,5118/421, numerators are 2821,5118
Denominators are 761,421
The GCF of 2821,5118 is 1 .
LCM of 761,421 is 320381.
The greatest common factor of 2821/761,5118/421 = [GCF of 2821,5118]/[LCM of 761,421]= 1/320381
Therefore, the GCF of 2821/761,5118/421 is 1/320381.
To find the highest common factor of 2821,5118, we have to find the factors of both numbers and list the highest common factor.
The factors of 2821 are 1, 7, 13, 31, 91, 217, 403, 2821
The factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118
The HCF of 2821,5118 is 1.
Lets's calculate GCF of 2821,5118
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2821,5118 By Matching Biggest Common Factor Method
Now, list down the factors of 2821
:1,7,13,31,91,217,403,2821
Now, list down the factors of 5118
:1,2,3,6,853,1706,2559,5118
Greatest Common Factor
We found the factors 2821,5118 . The biggest common factor number is the GCF number.
So the greatest common factor 2821,5118 is 1.
Lets's calculate LCM of 761,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 320381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320381
Therefore, the GCF of Fractions 2821/761,5118/421 is 1/320381
Least Common Multiple of 761,421 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 761,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,421) x common factors =1 x 1 = 1
LCM(761,421) = ( 761 × 421 ) / 1
LCM(761,421) = 320381 / 1
LCM(761,421) = 320381
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FAQs on GCF of Fractions of 2821/761, 5118/421
1. What is the HCF of 2821,5118?
The HCF of 2821,5118 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 2821/761, 5118/421?
Answer: GCF of Numerators as per given numbers 2821/761, 5118/421 is
GCF of Numerators i.e. for 2821,5118 is 1
LCM of denominators i.e. for 761,421 is 320381.
Thus, GCF of Fractions is 1/320381.Finally, GCF of Fractions for 2821/761, 5118/421 is 1/320381.