GCF of 9453/314, 3642/5107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9453/314, 3642/5107 i.e 3/1603598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9453/314, 3642/5107.
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 9453/314,3642/5107?
Given fractions are 9453/314,3642/5107
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 9453/314,3642/5107, numerators are 9453,3642
Denominators are 314,5107
The GCF of 9453,3642 is 3 .
LCM of 314,5107 is 1603598.
The greatest common factor of 9453/314,3642/5107 = [GCF of 9453,3642]/[LCM of 314,5107]= 3/1603598
Therefore, the GCF of 9453/314,3642/5107 is 3/1603598.
To find the highest common factor of 9453,3642, we have to find the factors of both numbers and list the highest common factor.
The factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453
The factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642
The HCF of 9453,3642 is 3.
Lets's calculate GCF of 9453,3642
| 3 | 9453, 3642 |
| 3151, 1214 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9453,3642 By Matching Biggest Common Factor Method
Now, list down the factors of 9453
:1,3,23,69,137,411,3151,9453
Now, list down the factors of 3642
:1,2,3,6,607,1214,1821,3642
Greatest Common Factor
We found the factors 9453,3642 . The biggest common factor number is the GCF number.
So the greatest common factor 9453,3642 is 3.
Lets's calculate LCM of 314,5107
Given numbers has no common factors except 1. So, there LCM is their product i.e 1603598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1603598
Therefore, the GCF of Fractions 9453/314,3642/5107 is 3/1603598
Least Common Multiple of 314,5107 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 314,5107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,5107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,5107) x common factors =1 x 1 = 1
LCM(314,5107) = ( 314 × 5107 ) / 1
LCM(314,5107) = 1603598 / 1
LCM(314,5107) = 1603598
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FAQs on GCF of Fractions of 9453/314, 3642/5107
1. What is the HCF of 9453,3642?
The HCF of 9453,3642 is 3
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 9453/314, 3642/5107?
Answer: GCF of Numerators as per given numbers 9453/314, 3642/5107 is
GCF of Numerators i.e. for 9453,3642 is 3
LCM of denominators i.e. for 314,5107 is 1603598.
Thus, GCF of Fractions is 3/1603598.Finally, GCF of Fractions for 9453/314, 3642/5107 is 3/1603598.