GCF of 7645/415, 9728/8279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7645/415, 9728/8279 i.e 1/3435785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7645/415, 9728/8279.
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 7645/415,9728/8279?
Given fractions are 7645/415,9728/8279
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 7645/415,9728/8279, numerators are 7645,9728
Denominators are 415,8279
The GCF of 7645,9728 is 1 .
LCM of 415,8279 is 3435785.
The greatest common factor of 7645/415,9728/8279 = [GCF of 7645,9728]/[LCM of 415,8279]= 1/3435785
Therefore, the GCF of 7645/415,9728/8279 is 1/3435785.
To find the highest common factor of 7645,9728, we have to find the factors of both numbers and list the highest common factor.
The factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645
The factors of 9728 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728
The HCF of 7645,9728 is 1.
Lets's calculate GCF of 7645,9728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7645,9728 By Matching Biggest Common Factor Method
Now, list down the factors of 7645
:1,5,11,55,139,695,1529,7645
Now, list down the factors of 9728
:1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728
Greatest Common Factor
We found the factors 7645,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 7645,9728 is 1.
Lets's calculate LCM of 415,8279
Given numbers has no common factors except 1. So, there LCM is their product i.e 3435785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3435785
Therefore, the GCF of Fractions 7645/415,9728/8279 is 1/3435785
Least Common Multiple of 415,8279 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 415,8279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,8279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,8279) x common factors =1 x 1 = 1
LCM(415,8279) = ( 415 × 8279 ) / 1
LCM(415,8279) = 3435785 / 1
LCM(415,8279) = 3435785
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FAQs on GCF of Fractions of 7645/415, 9728/8279
1. What is the HCF of 7645,9728?
The HCF of 7645,9728 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 7645/415, 9728/8279?
Answer: GCF of Numerators as per given numbers 7645/415, 9728/8279 is
GCF of Numerators i.e. for 7645,9728 is 1
LCM of denominators i.e. for 415,8279 is 3435785.
Thus, GCF of Fractions is 1/3435785.Finally, GCF of Fractions for 7645/415, 9728/8279 is 1/3435785.