GCF of 6335/901, 9237/7132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6335/901, 9237/7132 i.e 1/6425932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6335/901, 9237/7132.
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 6335/901,9237/7132?
Given fractions are 6335/901,9237/7132
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 6335/901,9237/7132, numerators are 6335,9237
Denominators are 901,7132
The GCF of 6335,9237 is 1 .
LCM of 901,7132 is 6425932.
The greatest common factor of 6335/901,9237/7132 = [GCF of 6335,9237]/[LCM of 901,7132]= 1/6425932
Therefore, the GCF of 6335/901,9237/7132 is 1/6425932.
To find the highest common factor of 6335,9237, we have to find the factors of both numbers and list the highest common factor.
The factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335
The factors of 9237 are 1, 3, 3079, 9237
The HCF of 6335,9237 is 1.
Lets's calculate GCF of 6335,9237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6335,9237 By Matching Biggest Common Factor Method
Now, list down the factors of 6335
:1,5,7,35,181,905,1267,6335
Now, list down the factors of 9237
:1,3,3079,9237
Greatest Common Factor
We found the factors 6335,9237 . The biggest common factor number is the GCF number.
So the greatest common factor 6335,9237 is 1.
Lets's calculate LCM of 901,7132
Given numbers has no common factors except 1. So, there LCM is their product i.e 6425932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6425932
Therefore, the GCF of Fractions 6335/901,9237/7132 is 1/6425932
Least Common Multiple of 901,7132 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 901,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,7132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,7132) x common factors =1 x 1 = 1
LCM(901,7132) = ( 901 × 7132 ) / 1
LCM(901,7132) = 6425932 / 1
LCM(901,7132) = 6425932
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FAQs on GCF of Fractions of 6335/901, 9237/7132
1. What is the HCF of 6335,9237?
The HCF of 6335,9237 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 6335/901, 9237/7132?
Answer: GCF of Numerators as per given numbers 6335/901, 9237/7132 is
GCF of Numerators i.e. for 6335,9237 is 1
LCM of denominators i.e. for 901,7132 is 6425932.
Thus, GCF of Fractions is 1/6425932.Finally, GCF of Fractions for 6335/901, 9237/7132 is 1/6425932.