GCF of 3606/102, 4504/6741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3606/102, 4504/6741 i.e 2/229194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3606/102, 4504/6741.
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 3606/102,4504/6741?
Given fractions are 3606/102,4504/6741
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 3606/102,4504/6741, numerators are 3606,4504
Denominators are 102,6741
The GCF of 3606,4504 is 2 .
LCM of 102,6741 is 229194.
The greatest common factor of 3606/102,4504/6741 = [GCF of 3606,4504]/[LCM of 102,6741]= 2/229194
Therefore, the GCF of 3606/102,4504/6741 is 2/229194.
To find the highest common factor of 3606,4504, we have to find the factors of both numbers and list the highest common factor.
The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606
The factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504
The HCF of 3606,4504 is 2.
Lets's calculate GCF of 3606,4504
| 2 | 3606, 4504 |
| 1803, 2252 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3606,4504 By Matching Biggest Common Factor Method
Now, list down the factors of 3606
:1,2,3,6,601,1202,1803,3606
Now, list down the factors of 4504
:1,2,4,8,563,1126,2252,4504
Greatest Common Factor
We found the factors 3606,4504 . The biggest common factor number is the GCF number.
So the greatest common factor 3606,4504 is 2.
Lets's calculate LCM of 102,6741
| 3 | 102, 6741 |
| 34, 2247 |
∴ So the LCM of the given numbers is 3 x 34 x 2247 = 229194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/229194
Therefore, the GCF of Fractions 3606/102,4504/6741 is 2/229194
Least Common Multiple of 102,6741 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 102,6741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,6741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(102,6741) x common factors =3 x 1 = 3
LCM(102,6741) = ( 102 × 6741 ) / 3
LCM(102,6741) = 687582 / 3
LCM(102,6741) = 229194
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FAQs on GCF of Fractions of 3606/102, 4504/6741
1. What is the HCF of 3606,4504?
The HCF of 3606,4504 is 2
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 3606/102, 4504/6741?
Answer: GCF of Numerators as per given numbers 3606/102, 4504/6741 is
GCF of Numerators i.e. for 3606,4504 is 2
LCM of denominators i.e. for 102,6741 is 229194.
Thus, GCF of Fractions is 2/229194.Finally, GCF of Fractions for 3606/102, 4504/6741 is 2/229194.