GCF of 4643/448, 2069/5677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4643/448, 2069/5677 i.e 1/363328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4643/448, 2069/5677.
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 4643/448,2069/5677?
Given fractions are 4643/448,2069/5677
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 4643/448,2069/5677, numerators are 4643,2069
Denominators are 448,5677
The GCF of 4643,2069 is 1 .
LCM of 448,5677 is 363328.
The greatest common factor of 4643/448,2069/5677 = [GCF of 4643,2069]/[LCM of 448,5677]= 1/363328
Therefore, the GCF of 4643/448,2069/5677 is 1/363328.
To find the highest common factor of 4643,2069, 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 2069 are 1, 2069
The HCF of 4643,2069 is 1.
Lets's calculate GCF of 4643,2069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4643,2069 By Matching Biggest Common Factor Method
Now, list down the factors of 4643
:1,4643
Now, list down the factors of 2069
:1,2069
Greatest Common Factor
We found the factors 4643,2069 . The biggest common factor number is the GCF number.
So the greatest common factor 4643,2069 is 1.
Lets's calculate LCM of 448,5677
| 7 | 448, 5677 |
| 64, 811 |
∴ So the LCM of the given numbers is 7 x 64 x 811 = 363328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363328
Therefore, the GCF of Fractions 4643/448,2069/5677 is 1/363328
Least Common Multiple of 448,5677 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 448,5677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,5677) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(448,5677) x common factors =7 x 1 = 7
LCM(448,5677) = ( 448 × 5677 ) / 7
LCM(448,5677) = 2543296 / 7
LCM(448,5677) = 363328
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FAQs on GCF of Fractions of 4643/448, 2069/5677
1. What is the HCF of 4643,2069?
The HCF of 4643,2069 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 4643/448, 2069/5677?
Answer: GCF of Numerators as per given numbers 4643/448, 2069/5677 is
GCF of Numerators i.e. for 4643,2069 is 1
LCM of denominators i.e. for 448,5677 is 363328.
Thus, GCF of Fractions is 1/363328.Finally, GCF of Fractions for 4643/448, 2069/5677 is 1/363328.