GCF of 3672/308, 1802/9186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3672/308, 1802/9186 i.e 34/1414644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3672/308, 1802/9186.
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 3672/308,1802/9186?
Given fractions are 3672/308,1802/9186
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 3672/308,1802/9186, numerators are 3672,1802
Denominators are 308,9186
The GCF of 3672,1802 is 34 .
LCM of 308,9186 is 1414644.
The greatest common factor of 3672/308,1802/9186 = [GCF of 3672,1802]/[LCM of 308,9186]= 34/1414644
Therefore, the GCF of 3672/308,1802/9186 is 34/1414644.
To find the highest common factor of 3672,1802, we have to find the factors of both numbers and list the highest common factor.
The factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672
The factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802
The HCF of 3672,1802 is 34.
Lets's calculate GCF of 3672,1802
| 2 | 3672, 1802 |
| 17 | 1836, 901 |
| 108, 53 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 3672,1802 By Matching Biggest Common Factor Method
Now, list down the factors of 3672
:1,2,3,4,6,8,9,12,17,18,24,27,34,36,51,54,68,72,102,108,136,153,204,216,306,408,459,612,918,1224,1836,3672
Now, list down the factors of 1802
:1,2,17,34,53,106,901,1802
Greatest Common Factor
We found the factors 3672,1802 . The biggest common factor number is the GCF number.
So the greatest common factor 3672,1802 is 34.
Lets's calculate LCM of 308,9186
| 2 | 308, 9186 |
| 154, 4593 |
∴ So the LCM of the given numbers is 2 x 154 x 4593 = 1414644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1414644
Therefore, the GCF of Fractions 3672/308,1802/9186 is 34/1414644
Least Common Multiple of 308,9186 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 308,9186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,9186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(308,9186) x common factors =2 x 1 = 2
LCM(308,9186) = ( 308 × 9186 ) / 2
LCM(308,9186) = 2829288 / 2
LCM(308,9186) = 1414644
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FAQs on GCF of Fractions of 3672/308, 1802/9186
1. What is the HCF of 3672,1802?
The HCF of 3672,1802 is 34
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 3672/308, 1802/9186?
Answer: GCF of Numerators as per given numbers 3672/308, 1802/9186 is
GCF of Numerators i.e. for 3672,1802 is 34
LCM of denominators i.e. for 308,9186 is 1414644.
Thus, GCF of Fractions is 34/1414644.Finally, GCF of Fractions for 3672/308, 1802/9186 is 34/1414644.