GCF of 4236/802, 6540/3042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4236/802, 6540/3042 i.e 12/1219842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4236/802, 6540/3042.
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 4236/802,6540/3042?
Given fractions are 4236/802,6540/3042
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 4236/802,6540/3042, numerators are 4236,6540
Denominators are 802,3042
The GCF of 4236,6540 is 12 .
LCM of 802,3042 is 1219842.
The greatest common factor of 4236/802,6540/3042 = [GCF of 4236,6540]/[LCM of 802,3042]= 12/1219842
Therefore, the GCF of 4236/802,6540/3042 is 12/1219842.
To find the highest common factor of 4236,6540, we have to find the factors of both numbers and list the highest common factor.
The factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The HCF of 4236,6540 is 12.
Lets's calculate GCF of 4236,6540
| 2 | 4236, 6540 |
| 2 | 2118, 3270 |
| 3 | 1059, 1635 |
| 353, 545 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4236,6540 By Matching Biggest Common Factor Method
Now, list down the factors of 4236
:1,2,3,4,6,12,353,706,1059,1412,2118,4236
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Greatest Common Factor
We found the factors 4236,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 4236,6540 is 12.
Lets's calculate LCM of 802,3042
| 2 | 802, 3042 |
| 401, 1521 |
∴ So the LCM of the given numbers is 2 x 401 x 1521 = 1219842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1219842
Therefore, the GCF of Fractions 4236/802,6540/3042 is 12/1219842
Least Common Multiple of 802,3042 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 802,3042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,3042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,3042) x common factors =2 x 1 = 2
LCM(802,3042) = ( 802 × 3042 ) / 2
LCM(802,3042) = 2439684 / 2
LCM(802,3042) = 1219842
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FAQs on GCF of Fractions of 4236/802, 6540/3042
1. What is the HCF of 4236,6540?
The HCF of 4236,6540 is 12
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 4236/802, 6540/3042?
Answer: GCF of Numerators as per given numbers 4236/802, 6540/3042 is
GCF of Numerators i.e. for 4236,6540 is 12
LCM of denominators i.e. for 802,3042 is 1219842.
Thus, GCF of Fractions is 12/1219842.Finally, GCF of Fractions for 4236/802, 6540/3042 is 12/1219842.