GCF of 4604/871, 9180/5096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4604/871, 9180/5096 i.e 4/341432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4604/871, 9180/5096.
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 4604/871,9180/5096?
Given fractions are 4604/871,9180/5096
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 4604/871,9180/5096, numerators are 4604,9180
Denominators are 871,5096
The GCF of 4604,9180 is 4 .
LCM of 871,5096 is 341432.
The greatest common factor of 4604/871,9180/5096 = [GCF of 4604,9180]/[LCM of 871,5096]= 4/341432
Therefore, the GCF of 4604/871,9180/5096 is 4/341432.
To find the highest common factor of 4604,9180, we have to find the factors of both numbers and list the highest common factor.
The factors of 4604 are 1, 2, 4, 1151, 2302, 4604
The factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180
The HCF of 4604,9180 is 4.
Lets's calculate GCF of 4604,9180
| 2 | 4604, 9180 |
| 2 | 2302, 4590 |
| 1151, 2295 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4604,9180 By Matching Biggest Common Factor Method
Now, list down the factors of 4604
:1,2,4,1151,2302,4604
Now, list down the factors of 9180
:1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180
Greatest Common Factor
We found the factors 4604,9180 . The biggest common factor number is the GCF number.
So the greatest common factor 4604,9180 is 4.
Lets's calculate LCM of 871,5096
| 13 | 871, 5096 |
| 67, 392 |
∴ So the LCM of the given numbers is 13 x 67 x 392 = 341432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/341432
Therefore, the GCF of Fractions 4604/871,9180/5096 is 4/341432
Least Common Multiple of 871,5096 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 871,5096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,5096) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(871,5096) x common factors =13 x 1 = 13
LCM(871,5096) = ( 871 × 5096 ) / 13
LCM(871,5096) = 4438616 / 13
LCM(871,5096) = 341432
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FAQs on GCF of Fractions of 4604/871, 9180/5096
1. What is the HCF of 4604,9180?
The HCF of 4604,9180 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 4604/871, 9180/5096?
Answer: GCF of Numerators as per given numbers 4604/871, 9180/5096 is
GCF of Numerators i.e. for 4604,9180 is 4
LCM of denominators i.e. for 871,5096 is 341432.
Thus, GCF of Fractions is 4/341432.Finally, GCF of Fractions for 4604/871, 9180/5096 is 4/341432.