GCF of 8223/677, 1964/830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8223/677, 1964/830 i.e 1/561910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8223/677, 1964/830.
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 8223/677,1964/830?
Given fractions are 8223/677,1964/830
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 8223/677,1964/830, numerators are 8223,1964
Denominators are 677,830
The GCF of 8223,1964 is 1 .
LCM of 677,830 is 561910.
The greatest common factor of 8223/677,1964/830 = [GCF of 8223,1964]/[LCM of 677,830]= 1/561910
Therefore, the GCF of 8223/677,1964/830 is 1/561910.
To find the highest common factor of 8223,1964, we have to find the factors of both numbers and list the highest common factor.
The factors of 8223 are 1, 3, 2741, 8223
The factors of 1964 are 1, 2, 4, 491, 982, 1964
The HCF of 8223,1964 is 1.
Lets's calculate GCF of 8223,1964
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8223,1964 By Matching Biggest Common Factor Method
Now, list down the factors of 8223
:1,3,2741,8223
Now, list down the factors of 1964
:1,2,4,491,982,1964
Greatest Common Factor
We found the factors 8223,1964 . The biggest common factor number is the GCF number.
So the greatest common factor 8223,1964 is 1.
Lets's calculate LCM of 677,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 561910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561910
Therefore, the GCF of Fractions 8223/677,1964/830 is 1/561910
Least Common Multiple of 677,830 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 677,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,830) x common factors =1 x 1 = 1
LCM(677,830) = ( 677 × 830 ) / 1
LCM(677,830) = 561910 / 1
LCM(677,830) = 561910
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FAQs on GCF of Fractions of 8223/677, 1964/830
1. What is the HCF of 8223,1964?
The HCF of 8223,1964 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 8223/677, 1964/830?
Answer: GCF of Numerators as per given numbers 8223/677, 1964/830 is
GCF of Numerators i.e. for 8223,1964 is 1
LCM of denominators i.e. for 677,830 is 561910.
Thus, GCF of Fractions is 1/561910.Finally, GCF of Fractions for 8223/677, 1964/830 is 1/561910.