GCF of 5773/646, 4518/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5773/646, 4518/672 i.e 251/217056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5773/646, 4518/672.
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 5773/646,4518/672?
Given fractions are 5773/646,4518/672
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 5773/646,4518/672, numerators are 5773,4518
Denominators are 646,672
The GCF of 5773,4518 is 251 .
LCM of 646,672 is 217056.
The greatest common factor of 5773/646,4518/672 = [GCF of 5773,4518]/[LCM of 646,672]= 251/217056
Therefore, the GCF of 5773/646,4518/672 is 251/217056.
To find the highest common factor of 5773,4518, we have to find the factors of both numbers and list the highest common factor.
The factors of 5773 are 1, 23, 251, 5773
The factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518
The HCF of 5773,4518 is 251.
Lets's calculate GCF of 5773,4518
| 251 | 5773, 4518 |
| 23, 18 |
∴ So the GCF of the given numbers is 251 = 251
Greatest Common Factor of 5773,4518 By Matching Biggest Common Factor Method
Now, list down the factors of 5773
:1,23,251,5773
Now, list down the factors of 4518
:1,2,3,6,9,18,251,502,753,1506,2259,4518
Greatest Common Factor
We found the factors 5773,4518 . The biggest common factor number is the GCF number.
So the greatest common factor 5773,4518 is 251.
Lets's calculate LCM of 646,672
| 2 | 646, 672 |
| 323, 336 |
∴ So the LCM of the given numbers is 2 x 323 x 336 = 217056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 251/217056
Therefore, the GCF of Fractions 5773/646,4518/672 is 251/217056
Least Common Multiple of 646,672 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 646,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,672) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,672) x common factors =2 x 1 = 2
LCM(646,672) = ( 646 × 672 ) / 2
LCM(646,672) = 434112 / 2
LCM(646,672) = 217056
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FAQs on GCF of Fractions of 5773/646, 4518/672
1. What is the HCF of 5773,4518?
The HCF of 5773,4518 is 251
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 5773/646, 4518/672?
Answer: GCF of Numerators as per given numbers 5773/646, 4518/672 is
GCF of Numerators i.e. for 5773,4518 is 251
LCM of denominators i.e. for 646,672 is 217056.
Thus, GCF of Fractions is 251/217056.Finally, GCF of Fractions for 5773/646, 4518/672 is 251/217056.