GCF of 3632/407, 9945/7652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3632/407, 9945/7652 i.e 1/3114364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3632/407, 9945/7652.
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 3632/407,9945/7652?
Given fractions are 3632/407,9945/7652
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 3632/407,9945/7652, numerators are 3632,9945
Denominators are 407,7652
The GCF of 3632,9945 is 1 .
LCM of 407,7652 is 3114364.
The greatest common factor of 3632/407,9945/7652 = [GCF of 3632,9945]/[LCM of 407,7652]= 1/3114364
Therefore, the GCF of 3632/407,9945/7652 is 1/3114364.
To find the highest common factor of 3632,9945, we have to find the factors of both numbers and list the highest common factor.
The factors of 3632 are 1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632
The factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945
The HCF of 3632,9945 is 1.
Lets's calculate GCF of 3632,9945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3632,9945 By Matching Biggest Common Factor Method
Now, list down the factors of 3632
:1,2,4,8,16,227,454,908,1816,3632
Now, list down the factors of 9945
:1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 3632,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 3632,9945 is 1.
Lets's calculate LCM of 407,7652
Given numbers has no common factors except 1. So, there LCM is their product i.e 3114364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3114364
Therefore, the GCF of Fractions 3632/407,9945/7652 is 1/3114364
Least Common Multiple of 407,7652 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 407,7652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,7652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,7652) x common factors =1 x 1 = 1
LCM(407,7652) = ( 407 × 7652 ) / 1
LCM(407,7652) = 3114364 / 1
LCM(407,7652) = 3114364
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FAQs on GCF of Fractions of 3632/407, 9945/7652
1. What is the HCF of 3632,9945?
The HCF of 3632,9945 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 3632/407, 9945/7652?
Answer: GCF of Numerators as per given numbers 3632/407, 9945/7652 is
GCF of Numerators i.e. for 3632,9945 is 1
LCM of denominators i.e. for 407,7652 is 3114364.
Thus, GCF of Fractions is 1/3114364.Finally, GCF of Fractions for 3632/407, 9945/7652 is 1/3114364.