GCF of 3880/170, 9028/1209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3880/170, 9028/1209 i.e 4/205530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3880/170, 9028/1209.
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 3880/170,9028/1209?
Given fractions are 3880/170,9028/1209
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 3880/170,9028/1209, numerators are 3880,9028
Denominators are 170,1209
The GCF of 3880,9028 is 4 .
LCM of 170,1209 is 205530.
The greatest common factor of 3880/170,9028/1209 = [GCF of 3880,9028]/[LCM of 170,1209]= 4/205530
Therefore, the GCF of 3880/170,9028/1209 is 4/205530.
To find the highest common factor of 3880,9028, we have to find the factors of both numbers and list the highest common factor.
The factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880
The factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028
The HCF of 3880,9028 is 4.
Lets's calculate GCF of 3880,9028
| 2 | 3880, 9028 |
| 2 | 1940, 4514 |
| 970, 2257 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3880,9028 By Matching Biggest Common Factor Method
Now, list down the factors of 3880
:1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880
Now, list down the factors of 9028
:1,2,4,37,61,74,122,148,244,2257,4514,9028
Greatest Common Factor
We found the factors 3880,9028 . The biggest common factor number is the GCF number.
So the greatest common factor 3880,9028 is 4.
Lets's calculate LCM of 170,1209
Given numbers has no common factors except 1. So, there LCM is their product i.e 205530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/205530
Therefore, the GCF of Fractions 3880/170,9028/1209 is 4/205530
Least Common Multiple of 170,1209 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 170,1209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,1209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,1209) x common factors =1 x 1 = 1
LCM(170,1209) = ( 170 × 1209 ) / 1
LCM(170,1209) = 205530 / 1
LCM(170,1209) = 205530
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FAQs on GCF of Fractions of 3880/170, 9028/1209
1. What is the HCF of 3880,9028?
The HCF of 3880,9028 is 4
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 3880/170, 9028/1209?
Answer: GCF of Numerators as per given numbers 3880/170, 9028/1209 is
GCF of Numerators i.e. for 3880,9028 is 4
LCM of denominators i.e. for 170,1209 is 205530.
Thus, GCF of Fractions is 4/205530.Finally, GCF of Fractions for 3880/170, 9028/1209 is 4/205530.