GCF of 3722/430, 3482/8509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3722/430, 3482/8509 i.e 2/3658870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3722/430, 3482/8509.
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 3722/430,3482/8509?
Given fractions are 3722/430,3482/8509
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 3722/430,3482/8509, numerators are 3722,3482
Denominators are 430,8509
The GCF of 3722,3482 is 2 .
LCM of 430,8509 is 3658870.
The greatest common factor of 3722/430,3482/8509 = [GCF of 3722,3482]/[LCM of 430,8509]= 2/3658870
Therefore, the GCF of 3722/430,3482/8509 is 2/3658870.
To find the highest common factor of 3722,3482, we have to find the factors of both numbers and list the highest common factor.
The factors of 3722 are 1, 2, 1861, 3722
The factors of 3482 are 1, 2, 1741, 3482
The HCF of 3722,3482 is 2.
Lets's calculate GCF of 3722,3482
| 2 | 3722, 3482 |
| 1861, 1741 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3722,3482 By Matching Biggest Common Factor Method
Now, list down the factors of 3722
:1,2,1861,3722
Now, list down the factors of 3482
:1,2,1741,3482
Greatest Common Factor
We found the factors 3722,3482 . The biggest common factor number is the GCF number.
So the greatest common factor 3722,3482 is 2.
Lets's calculate LCM of 430,8509
Given numbers has no common factors except 1. So, there LCM is their product i.e 3658870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3658870
Therefore, the GCF of Fractions 3722/430,3482/8509 is 2/3658870
Least Common Multiple of 430,8509 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 430,8509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,8509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(430,8509) x common factors =1 x 1 = 1
LCM(430,8509) = ( 430 × 8509 ) / 1
LCM(430,8509) = 3658870 / 1
LCM(430,8509) = 3658870
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FAQs on GCF of Fractions of 3722/430, 3482/8509
1. What is the HCF of 3722,3482?
The HCF of 3722,3482 is 2
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 3722/430, 3482/8509?
Answer: GCF of Numerators as per given numbers 3722/430, 3482/8509 is
GCF of Numerators i.e. for 3722,3482 is 2
LCM of denominators i.e. for 430,8509 is 3658870.
Thus, GCF of Fractions is 2/3658870.Finally, GCF of Fractions for 3722/430, 3482/8509 is 2/3658870.