GCF of 1660/201, 4980/224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1660/201, 4980/224 i.e 1660/45024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1660/201, 4980/224.
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 1660/201,4980/224?
Given fractions are 1660/201,4980/224
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 1660/201,4980/224, numerators are 1660,4980
Denominators are 201,224
The GCF of 1660,4980 is 1660 .
LCM of 201,224 is 45024.
The greatest common factor of 1660/201,4980/224 = [GCF of 1660,4980]/[LCM of 201,224]= 1660/45024
Therefore, the GCF of 1660/201,4980/224 is 1660/45024.
To find the highest common factor of 1660,4980, we have to find the factors of both numbers and list the highest common factor.
The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
The factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980
The HCF of 1660,4980 is 1660.
Lets's calculate GCF of 1660,4980
| 2 | 1660, 4980 |
| 2 | 830, 2490 |
| 5 | 415, 1245 |
| 83 | 83, 249 |
| 1, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 83 = 1660
Greatest Common Factor of 1660,4980 By Matching Biggest Common Factor Method
Now, list down the factors of 1660
:1,2,4,5,10,20,83,166,332,415,830,1660
Now, list down the factors of 4980
:1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980
Greatest Common Factor
We found the factors 1660,4980 . The biggest common factor number is the GCF number.
So the greatest common factor 1660,4980 is 1660.
Lets's calculate LCM of 201,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 45024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1660/45024
Therefore, the GCF of Fractions 1660/201,4980/224 is 1660/45024
Least Common Multiple of 201,224 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 201,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,224) x common factors =1 x 1 = 1
LCM(201,224) = ( 201 × 224 ) / 1
LCM(201,224) = 45024 / 1
LCM(201,224) = 45024
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FAQs on GCF of Fractions of 1660/201, 4980/224
1. What is the HCF of 1660,4980?
The HCF of 1660,4980 is 1660
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 1660/201, 4980/224?
Answer: GCF of Numerators as per given numbers 1660/201, 4980/224 is
GCF of Numerators i.e. for 1660,4980 is 1660
LCM of denominators i.e. for 201,224 is 45024.
Thus, GCF of Fractions is 1660/45024.Finally, GCF of Fractions for 1660/201, 4980/224 is 1660/45024.