GCF of 5614/723, 4432/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5614/723, 4432/229 i.e 2/165567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5614/723, 4432/229.
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 5614/723,4432/229?
Given fractions are 5614/723,4432/229
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 5614/723,4432/229, numerators are 5614,4432
Denominators are 723,229
The GCF of 5614,4432 is 2 .
LCM of 723,229 is 165567.
The greatest common factor of 5614/723,4432/229 = [GCF of 5614,4432]/[LCM of 723,229]= 2/165567
Therefore, the GCF of 5614/723,4432/229 is 2/165567.
To find the highest common factor of 5614,4432, we have to find the factors of both numbers and list the highest common factor.
The factors of 5614 are 1, 2, 7, 14, 401, 802, 2807, 5614
The factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432
The HCF of 5614,4432 is 2.
Lets's calculate GCF of 5614,4432
| 2 | 5614, 4432 |
| 2807, 2216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5614,4432 By Matching Biggest Common Factor Method
Now, list down the factors of 5614
:1,2,7,14,401,802,2807,5614
Now, list down the factors of 4432
:1,2,4,8,16,277,554,1108,2216,4432
Greatest Common Factor
We found the factors 5614,4432 . The biggest common factor number is the GCF number.
So the greatest common factor 5614,4432 is 2.
Lets's calculate LCM of 723,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 165567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165567
Therefore, the GCF of Fractions 5614/723,4432/229 is 2/165567
Least Common Multiple of 723,229 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 723,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,229) x common factors =1 x 1 = 1
LCM(723,229) = ( 723 × 229 ) / 1
LCM(723,229) = 165567 / 1
LCM(723,229) = 165567
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FAQs on GCF of Fractions of 5614/723, 4432/229
1. What is the HCF of 5614,4432?
The HCF of 5614,4432 is 2
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 5614/723, 4432/229?
Answer: GCF of Numerators as per given numbers 5614/723, 4432/229 is
GCF of Numerators i.e. for 5614,4432 is 2
LCM of denominators i.e. for 723,229 is 165567.
Thus, GCF of Fractions is 2/165567.Finally, GCF of Fractions for 5614/723, 4432/229 is 2/165567.