GCF of 9633/237, 7645/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9633/237, 7645/688 i.e 1/163056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9633/237, 7645/688.
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 9633/237,7645/688?
Given fractions are 9633/237,7645/688
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 9633/237,7645/688, numerators are 9633,7645
Denominators are 237,688
The GCF of 9633,7645 is 1 .
LCM of 237,688 is 163056.
The greatest common factor of 9633/237,7645/688 = [GCF of 9633,7645]/[LCM of 237,688]= 1/163056
Therefore, the GCF of 9633/237,7645/688 is 1/163056.
To find the highest common factor of 9633,7645, 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 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645
The HCF of 9633,7645 is 1.
Lets's calculate GCF of 9633,7645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9633,7645 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 7645
:1,5,11,55,139,695,1529,7645
Greatest Common Factor
We found the factors 9633,7645 . The biggest common factor number is the GCF number.
So the greatest common factor 9633,7645 is 1.
Lets's calculate LCM of 237,688
Given numbers has no common factors except 1. So, there LCM is their product i.e 163056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163056
Therefore, the GCF of Fractions 9633/237,7645/688 is 1/163056
Least Common Multiple of 237,688 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 237,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,688) x common factors =1 x 1 = 1
LCM(237,688) = ( 237 × 688 ) / 1
LCM(237,688) = 163056 / 1
LCM(237,688) = 163056
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FAQs on GCF of Fractions of 9633/237, 7645/688
1. What is the HCF of 9633,7645?
The HCF of 9633,7645 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 9633/237, 7645/688?
Answer: GCF of Numerators as per given numbers 9633/237, 7645/688 is
GCF of Numerators i.e. for 9633,7645 is 1
LCM of denominators i.e. for 237,688 is 163056.
Thus, GCF of Fractions is 1/163056.Finally, GCF of Fractions for 9633/237, 7645/688 is 1/163056.