GCF of 9633/677, 3298/3278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9633/677, 3298/3278 i.e 1/2219206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9633/677, 3298/3278.
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 9633/677,3298/3278?
Given fractions are 9633/677,3298/3278
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 9633/677,3298/3278, numerators are 9633,3298
Denominators are 677,3278
The GCF of 9633,3298 is 1 .
LCM of 677,3278 is 2219206.
The greatest common factor of 9633/677,3298/3278 = [GCF of 9633,3298]/[LCM of 677,3278]= 1/2219206
Therefore, the GCF of 9633/677,3298/3278 is 1/2219206.
To find the highest common factor of 9633,3298, we have to find the factors of both numbers and list the highest common factor.
The factors of 9633 are 1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211, 9633
The factors of 3298 are 1, 2, 17, 34, 97, 194, 1649, 3298
The HCF of 9633,3298 is 1.
Lets's calculate GCF of 9633,3298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9633,3298 By Matching Biggest Common Factor Method
Now, list down the factors of 9633
:1,3,13,19,39,57,169,247,507,741,3211,9633
Now, list down the factors of 3298
:1,2,17,34,97,194,1649,3298
Greatest Common Factor
We found the factors 9633,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 9633,3298 is 1.
Lets's calculate LCM of 677,3278
Given numbers has no common factors except 1. So, there LCM is their product i.e 2219206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2219206
Therefore, the GCF of Fractions 9633/677,3298/3278 is 1/2219206
Least Common Multiple of 677,3278 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 677,3278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,3278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,3278) x common factors =1 x 1 = 1
LCM(677,3278) = ( 677 × 3278 ) / 1
LCM(677,3278) = 2219206 / 1
LCM(677,3278) = 2219206
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FAQs on GCF of Fractions of 9633/677, 3298/3278
1. What is the HCF of 9633,3298?
The HCF of 9633,3298 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 9633/677, 3298/3278?
Answer: GCF of Numerators as per given numbers 9633/677, 3298/3278 is
GCF of Numerators i.e. for 9633,3298 is 1
LCM of denominators i.e. for 677,3278 is 2219206.
Thus, GCF of Fractions is 1/2219206.Finally, GCF of Fractions for 9633/677, 3298/3278 is 1/2219206.