GCF of 7355/202, 9064/2642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7355/202, 9064/2642 i.e 1/266842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7355/202, 9064/2642.
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 7355/202,9064/2642?
Given fractions are 7355/202,9064/2642
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 7355/202,9064/2642, numerators are 7355,9064
Denominators are 202,2642
The GCF of 7355,9064 is 1 .
LCM of 202,2642 is 266842.
The greatest common factor of 7355/202,9064/2642 = [GCF of 7355,9064]/[LCM of 202,2642]= 1/266842
Therefore, the GCF of 7355/202,9064/2642 is 1/266842.
To find the highest common factor of 7355,9064, we have to find the factors of both numbers and list the highest common factor.
The factors of 7355 are 1, 5, 1471, 7355
The factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064
The HCF of 7355,9064 is 1.
Lets's calculate GCF of 7355,9064
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7355,9064 By Matching Biggest Common Factor Method
Now, list down the factors of 7355
:1,5,1471,7355
Now, list down the factors of 9064
:1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064
Greatest Common Factor
We found the factors 7355,9064 . The biggest common factor number is the GCF number.
So the greatest common factor 7355,9064 is 1.
Lets's calculate LCM of 202,2642
| 2 | 202, 2642 |
| 101, 1321 |
∴ So the LCM of the given numbers is 2 x 101 x 1321 = 266842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266842
Therefore, the GCF of Fractions 7355/202,9064/2642 is 1/266842
Least Common Multiple of 202,2642 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 202,2642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,2642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,2642) x common factors =2 x 1 = 2
LCM(202,2642) = ( 202 × 2642 ) / 2
LCM(202,2642) = 533684 / 2
LCM(202,2642) = 266842
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FAQs on GCF of Fractions of 7355/202, 9064/2642
1. What is the HCF of 7355,9064?
The HCF of 7355,9064 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 7355/202, 9064/2642?
Answer: GCF of Numerators as per given numbers 7355/202, 9064/2642 is
GCF of Numerators i.e. for 7355,9064 is 1
LCM of denominators i.e. for 202,2642 is 266842.
Thus, GCF of Fractions is 1/266842.Finally, GCF of Fractions for 7355/202, 9064/2642 is 1/266842.