GCF of 8852/589, 4180/1203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8852/589, 4180/1203 i.e 4/708567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8852/589, 4180/1203.
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 8852/589,4180/1203?
Given fractions are 8852/589,4180/1203
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 8852/589,4180/1203, numerators are 8852,4180
Denominators are 589,1203
The GCF of 8852,4180 is 4 .
LCM of 589,1203 is 708567.
The greatest common factor of 8852/589,4180/1203 = [GCF of 8852,4180]/[LCM of 589,1203]= 4/708567
Therefore, the GCF of 8852/589,4180/1203 is 4/708567.
To find the highest common factor of 8852,4180, we have to find the factors of both numbers and list the highest common factor.
The factors of 8852 are 1, 2, 4, 2213, 4426, 8852
The factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180
The HCF of 8852,4180 is 4.
Lets's calculate GCF of 8852,4180
| 2 | 8852, 4180 |
| 2 | 4426, 2090 |
| 2213, 1045 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8852,4180 By Matching Biggest Common Factor Method
Now, list down the factors of 8852
:1,2,4,2213,4426,8852
Now, list down the factors of 4180
:1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180
Greatest Common Factor
We found the factors 8852,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 8852,4180 is 4.
Lets's calculate LCM of 589,1203
Given numbers has no common factors except 1. So, there LCM is their product i.e 708567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/708567
Therefore, the GCF of Fractions 8852/589,4180/1203 is 4/708567
Least Common Multiple of 589,1203 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 589,1203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,1203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,1203) x common factors =1 x 1 = 1
LCM(589,1203) = ( 589 × 1203 ) / 1
LCM(589,1203) = 708567 / 1
LCM(589,1203) = 708567
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FAQs on GCF of Fractions of 8852/589, 4180/1203
1. What is the HCF of 8852,4180?
The HCF of 8852,4180 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 8852/589, 4180/1203?
Answer: GCF of Numerators as per given numbers 8852/589, 4180/1203 is
GCF of Numerators i.e. for 8852,4180 is 4
LCM of denominators i.e. for 589,1203 is 708567.
Thus, GCF of Fractions is 4/708567.Finally, GCF of Fractions for 8852/589, 4180/1203 is 4/708567.