GCF of 3673/962, 9907/9537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3673/962, 9907/9537 i.e 1/9174594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3673/962, 9907/9537.
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 3673/962,9907/9537?
Given fractions are 3673/962,9907/9537
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 3673/962,9907/9537, numerators are 3673,9907
Denominators are 962,9537
The GCF of 3673,9907 is 1 .
LCM of 962,9537 is 9174594.
The greatest common factor of 3673/962,9907/9537 = [GCF of 3673,9907]/[LCM of 962,9537]= 1/9174594
Therefore, the GCF of 3673/962,9907/9537 is 1/9174594.
To find the highest common factor of 3673,9907, we have to find the factors of both numbers and list the highest common factor.
The factors of 3673 are 1, 3673
The factors of 9907 are 1, 9907
The HCF of 3673,9907 is 1.
Lets's calculate GCF of 3673,9907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3673,9907 By Matching Biggest Common Factor Method
Now, list down the factors of 3673
:1,3673
Now, list down the factors of 9907
:1,9907
Greatest Common Factor
We found the factors 3673,9907 . The biggest common factor number is the GCF number.
So the greatest common factor 3673,9907 is 1.
Lets's calculate LCM of 962,9537
Given numbers has no common factors except 1. So, there LCM is their product i.e 9174594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9174594
Therefore, the GCF of Fractions 3673/962,9907/9537 is 1/9174594
Least Common Multiple of 962,9537 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 962,9537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,9537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(962,9537) x common factors =1 x 1 = 1
LCM(962,9537) = ( 962 × 9537 ) / 1
LCM(962,9537) = 9174594 / 1
LCM(962,9537) = 9174594
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3673/962, 9907/9537
1. What is the HCF of 3673,9907?
The HCF of 3673,9907 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 3673/962, 9907/9537?
Answer: GCF of Numerators as per given numbers 3673/962, 9907/9537 is
GCF of Numerators i.e. for 3673,9907 is 1
LCM of denominators i.e. for 962,9537 is 9174594.
Thus, GCF of Fractions is 1/9174594.Finally, GCF of Fractions for 3673/962, 9907/9537 is 1/9174594.