GCF of 9997/475, 9352/8219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9997/475, 9352/8219 i.e 1/3904025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9997/475, 9352/8219.
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 9997/475,9352/8219?
Given fractions are 9997/475,9352/8219
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 9997/475,9352/8219, numerators are 9997,9352
Denominators are 475,8219
The GCF of 9997,9352 is 1 .
LCM of 475,8219 is 3904025.
The greatest common factor of 9997/475,9352/8219 = [GCF of 9997,9352]/[LCM of 475,8219]= 1/3904025
Therefore, the GCF of 9997/475,9352/8219 is 1/3904025.
To find the highest common factor of 9997,9352, we have to find the factors of both numbers and list the highest common factor.
The factors of 9997 are 1, 13, 769, 9997
The factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352
The HCF of 9997,9352 is 1.
Lets's calculate GCF of 9997,9352
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9997,9352 By Matching Biggest Common Factor Method
Now, list down the factors of 9997
:1,13,769,9997
Now, list down the factors of 9352
:1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352
Greatest Common Factor
We found the factors 9997,9352 . The biggest common factor number is the GCF number.
So the greatest common factor 9997,9352 is 1.
Lets's calculate LCM of 475,8219
Given numbers has no common factors except 1. So, there LCM is their product i.e 3904025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3904025
Therefore, the GCF of Fractions 9997/475,9352/8219 is 1/3904025
Least Common Multiple of 475,8219 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 475,8219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,8219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,8219) x common factors =1 x 1 = 1
LCM(475,8219) = ( 475 × 8219 ) / 1
LCM(475,8219) = 3904025 / 1
LCM(475,8219) = 3904025
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FAQs on GCF of Fractions of 9997/475, 9352/8219
1. What is the HCF of 9997,9352?
The HCF of 9997,9352 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 9997/475, 9352/8219?
Answer: GCF of Numerators as per given numbers 9997/475, 9352/8219 is
GCF of Numerators i.e. for 9997,9352 is 1
LCM of denominators i.e. for 475,8219 is 3904025.
Thus, GCF of Fractions is 1/3904025.Finally, GCF of Fractions for 9997/475, 9352/8219 is 1/3904025.