GCF of 4549/153, 1491/693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4549/153, 1491/693 i.e 1/11781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4549/153, 1491/693.
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 4549/153,1491/693?
Given fractions are 4549/153,1491/693
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 4549/153,1491/693, numerators are 4549,1491
Denominators are 153,693
The GCF of 4549,1491 is 1 .
LCM of 153,693 is 11781.
The greatest common factor of 4549/153,1491/693 = [GCF of 4549,1491]/[LCM of 153,693]= 1/11781
Therefore, the GCF of 4549/153,1491/693 is 1/11781.
To find the highest common factor of 4549,1491, we have to find the factors of both numbers and list the highest common factor.
The factors of 4549 are 1, 4549
The factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491
The HCF of 4549,1491 is 1.
Lets's calculate GCF of 4549,1491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4549,1491 By Matching Biggest Common Factor Method
Now, list down the factors of 4549
:1,4549
Now, list down the factors of 1491
:1,3,7,21,71,213,497,1491
Greatest Common Factor
We found the factors 4549,1491 . The biggest common factor number is the GCF number.
So the greatest common factor 4549,1491 is 1.
Lets's calculate LCM of 153,693
| 3 | 153, 693 |
| 3 | 51, 231 |
| 17, 77 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 77 = 11781
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11781
Therefore, the GCF of Fractions 4549/153,1491/693 is 1/11781
Least Common Multiple of 153,693 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 153,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,693) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(153,693) x common factors =9 x 1 = 9
LCM(153,693) = ( 153 × 693 ) / 9
LCM(153,693) = 106029 / 9
LCM(153,693) = 11781
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FAQs on GCF of Fractions of 4549/153, 1491/693
1. What is the HCF of 4549,1491?
The HCF of 4549,1491 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 4549/153, 1491/693?
Answer: GCF of Numerators as per given numbers 4549/153, 1491/693 is
GCF of Numerators i.e. for 4549,1491 is 1
LCM of denominators i.e. for 153,693 is 11781.
Thus, GCF of Fractions is 1/11781.Finally, GCF of Fractions for 4549/153, 1491/693 is 1/11781.