GCF of 4643/228, 2077/4195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4643/228, 2077/4195 i.e 1/956460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4643/228, 2077/4195.
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 4643/228,2077/4195?
Given fractions are 4643/228,2077/4195
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 4643/228,2077/4195, numerators are 4643,2077
Denominators are 228,4195
The GCF of 4643,2077 is 1 .
LCM of 228,4195 is 956460.
The greatest common factor of 4643/228,2077/4195 = [GCF of 4643,2077]/[LCM of 228,4195]= 1/956460
Therefore, the GCF of 4643/228,2077/4195 is 1/956460.
To find the highest common factor of 4643,2077, we have to find the factors of both numbers and list the highest common factor.
The factors of 4643 are 1, 4643
The factors of 2077 are 1, 31, 67, 2077
The HCF of 4643,2077 is 1.
Lets's calculate GCF of 4643,2077
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4643,2077 By Matching Biggest Common Factor Method
Now, list down the factors of 4643
:1,4643
Now, list down the factors of 2077
:1,31,67,2077
Greatest Common Factor
We found the factors 4643,2077 . The biggest common factor number is the GCF number.
So the greatest common factor 4643,2077 is 1.
Lets's calculate LCM of 228,4195
Given numbers has no common factors except 1. So, there LCM is their product i.e 956460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/956460
Therefore, the GCF of Fractions 4643/228,2077/4195 is 1/956460
Least Common Multiple of 228,4195 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 228,4195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,4195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,4195) x common factors =1 x 1 = 1
LCM(228,4195) = ( 228 × 4195 ) / 1
LCM(228,4195) = 956460 / 1
LCM(228,4195) = 956460
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FAQs on GCF of Fractions of 4643/228, 2077/4195
1. What is the HCF of 4643,2077?
The HCF of 4643,2077 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 4643/228, 2077/4195?
Answer: GCF of Numerators as per given numbers 4643/228, 2077/4195 is
GCF of Numerators i.e. for 4643,2077 is 1
LCM of denominators i.e. for 228,4195 is 956460.
Thus, GCF of Fractions is 1/956460.Finally, GCF of Fractions for 4643/228, 2077/4195 is 1/956460.