GCF of 49/220, 965/322, 359/603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 49/220, 965/322, 359/603 i.e 1/21358260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/220, 965/322, 359/603.
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 49/220,965/322,359/603?
Given fractions are 49/220,965/322,359/603
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 49/220,965/322,359/603, numerators are 49,965,359
Denominators are 220,322,603
The GCF of 49,965,359 is 1 .
LCM of 220,322,603 is 21358260.
The greatest common factor of 49/220,965/322,359/603 = [GCF of 49,965,359]/[LCM of 220,322,603]= 1/21358260
Therefore, the GCF of 49/220,965/322,359/603 is 1/21358260.
To find the highest common factor of 49,965,359, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 965 are 1, 5, 193, 965
The factors of 359 are 1, 359
The HCF of 49,965,359 is 1.
Lets's calculate GCF of 49,965,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 49,965,359 By Matching Biggest Common Factor Method
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 965
:1,5,193,965
Now, list down the factors of 359
:1,359
Greatest Common Factor
We found the factors 49,965,359 . The biggest common factor number is the GCF number.
So the greatest common factor 49,965,359 is 1.
Lets's calculate LCM of 220,322,603
| 2 | 220, 322, 603 |
| 110, 161, 603 |
∴ So the LCM of the given numbers is 2 x 110 x 161 x 603 = 21358260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21358260
Therefore, the GCF of Fractions 49/220,965/322,359/603 is 1/21358260
Least Common Multiple of 220,322,603 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 220,322,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,322,603) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(220,322,603) x common factors =1 x 2 = 2
LCM(220,322,603) = ( 220 × 322 × 603 ) / 2
LCM(220,322,603) = 42716520 / 2
LCM(220,322,603) = 21358260
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FAQs on GCF of Fractions of 49/220, 965/322, 359/603
1. What is the HCF of 49,965,359?
The HCF of 49,965,359 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 49/220, 965/322, 359/603?
Answer: GCF of Numerators as per given numbers 49/220, 965/322, 359/603 is
GCF of Numerators i.e. for 49,965,359 is 1
LCM of denominators i.e. for 220,322,603 is 21358260.
Thus, GCF of Fractions is 1/21358260.Finally, GCF of Fractions for 49/220, 965/322, 359/603 is 1/21358260.