GCF of 9733/656, 8304/7507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9733/656, 8304/7507 i.e 1/4924592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9733/656, 8304/7507.
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 9733/656,8304/7507?
Given fractions are 9733/656,8304/7507
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 9733/656,8304/7507, numerators are 9733,8304
Denominators are 656,7507
The GCF of 9733,8304 is 1 .
LCM of 656,7507 is 4924592.
The greatest common factor of 9733/656,8304/7507 = [GCF of 9733,8304]/[LCM of 656,7507]= 1/4924592
Therefore, the GCF of 9733/656,8304/7507 is 1/4924592.
To find the highest common factor of 9733,8304, we have to find the factors of both numbers and list the highest common factor.
The factors of 9733 are 1, 9733
The factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304
The HCF of 9733,8304 is 1.
Lets's calculate GCF of 9733,8304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9733,8304 By Matching Biggest Common Factor Method
Now, list down the factors of 9733
:1,9733
Now, list down the factors of 8304
:1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304
Greatest Common Factor
We found the factors 9733,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 9733,8304 is 1.
Lets's calculate LCM of 656,7507
Given numbers has no common factors except 1. So, there LCM is their product i.e 4924592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4924592
Therefore, the GCF of Fractions 9733/656,8304/7507 is 1/4924592
Least Common Multiple of 656,7507 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 656,7507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,7507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,7507) x common factors =1 x 1 = 1
LCM(656,7507) = ( 656 × 7507 ) / 1
LCM(656,7507) = 4924592 / 1
LCM(656,7507) = 4924592
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FAQs on GCF of Fractions of 9733/656, 8304/7507
1. What is the HCF of 9733,8304?
The HCF of 9733,8304 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 9733/656, 8304/7507?
Answer: GCF of Numerators as per given numbers 9733/656, 8304/7507 is
GCF of Numerators i.e. for 9733,8304 is 1
LCM of denominators i.e. for 656,7507 is 4924592.
Thus, GCF of Fractions is 1/4924592.Finally, GCF of Fractions for 9733/656, 8304/7507 is 1/4924592.