GCF of 3682/735, 9445/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3682/735, 9445/574 i.e 1/60270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3682/735, 9445/574.
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 3682/735,9445/574?
Given fractions are 3682/735,9445/574
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 3682/735,9445/574, numerators are 3682,9445
Denominators are 735,574
The GCF of 3682,9445 is 1 .
LCM of 735,574 is 60270.
The greatest common factor of 3682/735,9445/574 = [GCF of 3682,9445]/[LCM of 735,574]= 1/60270
Therefore, the GCF of 3682/735,9445/574 is 1/60270.
To find the highest common factor of 3682,9445, we have to find the factors of both numbers and list the highest common factor.
The factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682
The factors of 9445 are 1, 5, 1889, 9445
The HCF of 3682,9445 is 1.
Lets's calculate GCF of 3682,9445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3682,9445 By Matching Biggest Common Factor Method
Now, list down the factors of 3682
:1,2,7,14,263,526,1841,3682
Now, list down the factors of 9445
:1,5,1889,9445
Greatest Common Factor
We found the factors 3682,9445 . The biggest common factor number is the GCF number.
So the greatest common factor 3682,9445 is 1.
Lets's calculate LCM of 735,574
| 7 | 735, 574 |
| 105, 82 |
∴ So the LCM of the given numbers is 7 x 105 x 82 = 60270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60270
Therefore, the GCF of Fractions 3682/735,9445/574 is 1/60270
Least Common Multiple of 735,574 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 735,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,574) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(735,574) x common factors =7 x 1 = 7
LCM(735,574) = ( 735 × 574 ) / 7
LCM(735,574) = 421890 / 7
LCM(735,574) = 60270
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FAQs on GCF of Fractions of 3682/735, 9445/574
1. What is the HCF of 3682,9445?
The HCF of 3682,9445 is 1
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 3682/735, 9445/574?
Answer: GCF of Numerators as per given numbers 3682/735, 9445/574 is
GCF of Numerators i.e. for 3682,9445 is 1
LCM of denominators i.e. for 735,574 is 60270.
Thus, GCF of Fractions is 1/60270.Finally, GCF of Fractions for 3682/735, 9445/574 is 1/60270.