GCF of 549/669, 311/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 549/669, 311/753 i.e 1/167919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 549/669, 311/753.
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 549/669,311/753?
Given fractions are 549/669,311/753
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 549/669,311/753, numerators are 549,311
Denominators are 669,753
The GCF of 549,311 is 1 .
LCM of 669,753 is 167919.
The greatest common factor of 549/669,311/753 = [GCF of 549,311]/[LCM of 669,753]= 1/167919
Therefore, the GCF of 549/669,311/753 is 1/167919.
To find the highest common factor of 549,311, we have to find the factors of both numbers and list the highest common factor.
The factors of 549 are 1, 3, 9, 61, 183, 549
The factors of 311 are 1, 311
The HCF of 549,311 is 1.
Lets's calculate GCF of 549,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 549,311 By Matching Biggest Common Factor Method
Now, list down the factors of 549
:1,3,9,61,183,549
Now, list down the factors of 311
:1,311
Greatest Common Factor
We found the factors 549,311 . The biggest common factor number is the GCF number.
So the greatest common factor 549,311 is 1.
Lets's calculate LCM of 669,753
| 3 | 669, 753 |
| 223, 251 |
∴ So the LCM of the given numbers is 3 x 223 x 251 = 167919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167919
Therefore, the GCF of Fractions 549/669,311/753 is 1/167919
Least Common Multiple of 669,753 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 669,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,753) x common factors =3 x 1 = 3
LCM(669,753) = ( 669 × 753 ) / 3
LCM(669,753) = 503757 / 3
LCM(669,753) = 167919
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FAQs on GCF of Fractions of 549/669, 311/753
1. What is the HCF of 549,311?
The HCF of 549,311 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 549/669, 311/753?
Answer: GCF of Numerators as per given numbers 549/669, 311/753 is
GCF of Numerators i.e. for 549,311 is 1
LCM of denominators i.e. for 669,753 is 167919.
Thus, GCF of Fractions is 1/167919.Finally, GCF of Fractions for 549/669, 311/753 is 1/167919.