GCF of 7254/202, 3606/7074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7254/202, 3606/7074 i.e 6/714474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7254/202, 3606/7074.
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 7254/202,3606/7074?
Given fractions are 7254/202,3606/7074
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 7254/202,3606/7074, numerators are 7254,3606
Denominators are 202,7074
The GCF of 7254,3606 is 6 .
LCM of 202,7074 is 714474.
The greatest common factor of 7254/202,3606/7074 = [GCF of 7254,3606]/[LCM of 202,7074]= 6/714474
Therefore, the GCF of 7254/202,3606/7074 is 6/714474.
To find the highest common factor of 7254,3606, we have to find the factors of both numbers and list the highest common factor.
The factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254
The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606
The HCF of 7254,3606 is 6.
Lets's calculate GCF of 7254,3606
| 2 | 7254, 3606 |
| 3 | 3627, 1803 |
| 1209, 601 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7254,3606 By Matching Biggest Common Factor Method
Now, list down the factors of 7254
:1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254
Now, list down the factors of 3606
:1,2,3,6,601,1202,1803,3606
Greatest Common Factor
We found the factors 7254,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 7254,3606 is 6.
Lets's calculate LCM of 202,7074
| 2 | 202, 7074 |
| 101, 3537 |
∴ So the LCM of the given numbers is 2 x 101 x 3537 = 714474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/714474
Therefore, the GCF of Fractions 7254/202,3606/7074 is 6/714474
Least Common Multiple of 202,7074 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 202,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,7074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,7074) x common factors =2 x 1 = 2
LCM(202,7074) = ( 202 × 7074 ) / 2
LCM(202,7074) = 1428948 / 2
LCM(202,7074) = 714474
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FAQs on GCF of Fractions of 7254/202, 3606/7074
1. What is the HCF of 7254,3606?
The HCF of 7254,3606 is 6
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 7254/202, 3606/7074?
Answer: GCF of Numerators as per given numbers 7254/202, 3606/7074 is
GCF of Numerators i.e. for 7254,3606 is 6
LCM of denominators i.e. for 202,7074 is 714474.
Thus, GCF of Fractions is 6/714474.Finally, GCF of Fractions for 7254/202, 3606/7074 is 6/714474.