GCF of 9675/832, 4702/4427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9675/832, 4702/4427 i.e 1/3683264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9675/832, 4702/4427.
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 9675/832,4702/4427?
Given fractions are 9675/832,4702/4427
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 9675/832,4702/4427, numerators are 9675,4702
Denominators are 832,4427
The GCF of 9675,4702 is 1 .
LCM of 832,4427 is 3683264.
The greatest common factor of 9675/832,4702/4427 = [GCF of 9675,4702]/[LCM of 832,4427]= 1/3683264
Therefore, the GCF of 9675/832,4702/4427 is 1/3683264.
To find the highest common factor of 9675,4702, we have to find the factors of both numbers and list the highest common factor.
The factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675
The factors of 4702 are 1, 2, 2351, 4702
The HCF of 9675,4702 is 1.
Lets's calculate GCF of 9675,4702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9675,4702 By Matching Biggest Common Factor Method
Now, list down the factors of 9675
:1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675
Now, list down the factors of 4702
:1,2,2351,4702
Greatest Common Factor
We found the factors 9675,4702 . The biggest common factor number is the GCF number.
So the greatest common factor 9675,4702 is 1.
Lets's calculate LCM of 832,4427
Given numbers has no common factors except 1. So, there LCM is their product i.e 3683264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3683264
Therefore, the GCF of Fractions 9675/832,4702/4427 is 1/3683264
Least Common Multiple of 832,4427 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 832,4427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,4427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,4427) x common factors =1 x 1 = 1
LCM(832,4427) = ( 832 × 4427 ) / 1
LCM(832,4427) = 3683264 / 1
LCM(832,4427) = 3683264
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FAQs on GCF of Fractions of 9675/832, 4702/4427
1. What is the HCF of 9675,4702?
The HCF of 9675,4702 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 9675/832, 4702/4427?
Answer: GCF of Numerators as per given numbers 9675/832, 4702/4427 is
GCF of Numerators i.e. for 9675,4702 is 1
LCM of denominators i.e. for 832,4427 is 3683264.
Thus, GCF of Fractions is 1/3683264.Finally, GCF of Fractions for 9675/832, 4702/4427 is 1/3683264.