GCF of 3628/342, 5865/5132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3628/342, 5865/5132 i.e 1/877572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3628/342, 5865/5132.
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 3628/342,5865/5132?
Given fractions are 3628/342,5865/5132
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 3628/342,5865/5132, numerators are 3628,5865
Denominators are 342,5132
The GCF of 3628,5865 is 1 .
LCM of 342,5132 is 877572.
The greatest common factor of 3628/342,5865/5132 = [GCF of 3628,5865]/[LCM of 342,5132]= 1/877572
Therefore, the GCF of 3628/342,5865/5132 is 1/877572.
To find the highest common factor of 3628,5865, we have to find the factors of both numbers and list the highest common factor.
The factors of 3628 are 1, 2, 4, 907, 1814, 3628
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The HCF of 3628,5865 is 1.
Lets's calculate GCF of 3628,5865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3628,5865 By Matching Biggest Common Factor Method
Now, list down the factors of 3628
:1,2,4,907,1814,3628
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 3628,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 3628,5865 is 1.
Lets's calculate LCM of 342,5132
| 2 | 342, 5132 |
| 171, 2566 |
∴ So the LCM of the given numbers is 2 x 171 x 2566 = 877572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/877572
Therefore, the GCF of Fractions 3628/342,5865/5132 is 1/877572
Least Common Multiple of 342,5132 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 342,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,5132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,5132) x common factors =2 x 1 = 2
LCM(342,5132) = ( 342 × 5132 ) / 2
LCM(342,5132) = 1755144 / 2
LCM(342,5132) = 877572
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FAQs on GCF of Fractions of 3628/342, 5865/5132
1. What is the HCF of 3628,5865?
The HCF of 3628,5865 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 3628/342, 5865/5132?
Answer: GCF of Numerators as per given numbers 3628/342, 5865/5132 is
GCF of Numerators i.e. for 3628,5865 is 1
LCM of denominators i.e. for 342,5132 is 877572.
Thus, GCF of Fractions is 1/877572.Finally, GCF of Fractions for 3628/342, 5865/5132 is 1/877572.