GCF of 2436/968, 4180/1420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2436/968, 4180/1420 i.e 4/343640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2436/968, 4180/1420.
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 2436/968,4180/1420?
Given fractions are 2436/968,4180/1420
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 2436/968,4180/1420, numerators are 2436,4180
Denominators are 968,1420
The GCF of 2436,4180 is 4 .
LCM of 968,1420 is 343640.
The greatest common factor of 2436/968,4180/1420 = [GCF of 2436,4180]/[LCM of 968,1420]= 4/343640
Therefore, the GCF of 2436/968,4180/1420 is 4/343640.
To find the highest common factor of 2436,4180, we have to find the factors of both numbers and list the highest common factor.
The factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436
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 2436,4180 is 4.
Lets's calculate GCF of 2436,4180
| 2 | 2436, 4180 |
| 2 | 1218, 2090 |
| 609, 1045 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2436,4180 By Matching Biggest Common Factor Method
Now, list down the factors of 2436
:1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
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 2436,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 2436,4180 is 4.
Lets's calculate LCM of 968,1420
| 2 | 968, 1420 |
| 2 | 484, 710 |
| 242, 355 |
∴ So the LCM of the given numbers is 2 x 2 x 242 x 355 = 343640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/343640
Therefore, the GCF of Fractions 2436/968,4180/1420 is 4/343640
Least Common Multiple of 968,1420 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 968,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,1420) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(968,1420) x common factors =4 x 1 = 4
LCM(968,1420) = ( 968 × 1420 ) / 4
LCM(968,1420) = 1374560 / 4
LCM(968,1420) = 343640
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FAQs on GCF of Fractions of 2436/968, 4180/1420
1. What is the HCF of 2436,4180?
The HCF of 2436,4180 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 2436/968, 4180/1420?
Answer: GCF of Numerators as per given numbers 2436/968, 4180/1420 is
GCF of Numerators i.e. for 2436,4180 is 4
LCM of denominators i.e. for 968,1420 is 343640.
Thus, GCF of Fractions is 4/343640.Finally, GCF of Fractions for 2436/968, 4180/1420 is 4/343640.