GCF of 5629/495, 1729/4957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5629/495, 1729/4957 i.e 13/2453715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5629/495, 1729/4957.
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 5629/495,1729/4957?
Given fractions are 5629/495,1729/4957
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 5629/495,1729/4957, numerators are 5629,1729
Denominators are 495,4957
The GCF of 5629,1729 is 13 .
LCM of 495,4957 is 2453715.
The greatest common factor of 5629/495,1729/4957 = [GCF of 5629,1729]/[LCM of 495,4957]= 13/2453715
Therefore, the GCF of 5629/495,1729/4957 is 13/2453715.
To find the highest common factor of 5629,1729, we have to find the factors of both numbers and list the highest common factor.
The factors of 5629 are 1, 13, 433, 5629
The factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729
The HCF of 5629,1729 is 13.
Lets's calculate GCF of 5629,1729
| 13 | 5629, 1729 |
| 433, 133 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5629,1729 By Matching Biggest Common Factor Method
Now, list down the factors of 5629
:1,13,433,5629
Now, list down the factors of 1729
:1,7,13,19,91,133,247,1729
Greatest Common Factor
We found the factors 5629,1729 . The biggest common factor number is the GCF number.
So the greatest common factor 5629,1729 is 13.
Lets's calculate LCM of 495,4957
Given numbers has no common factors except 1. So, there LCM is their product i.e 2453715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2453715
Therefore, the GCF of Fractions 5629/495,1729/4957 is 13/2453715
Least Common Multiple of 495,4957 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 495,4957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,4957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,4957) x common factors =1 x 1 = 1
LCM(495,4957) = ( 495 × 4957 ) / 1
LCM(495,4957) = 2453715 / 1
LCM(495,4957) = 2453715
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FAQs on GCF of Fractions of 5629/495, 1729/4957
1. What is the HCF of 5629,1729?
The HCF of 5629,1729 is 13
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 5629/495, 1729/4957?
Answer: GCF of Numerators as per given numbers 5629/495, 1729/4957 is
GCF of Numerators i.e. for 5629,1729 is 13
LCM of denominators i.e. for 495,4957 is 2453715.
Thus, GCF of Fractions is 13/2453715.Finally, GCF of Fractions for 5629/495, 1729/4957 is 13/2453715.