GCF of 3616/421, 7509/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3616/421, 7509/160 i.e 1/67360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3616/421, 7509/160.
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 3616/421,7509/160?
Given fractions are 3616/421,7509/160
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 3616/421,7509/160, numerators are 3616,7509
Denominators are 421,160
The GCF of 3616,7509 is 1 .
LCM of 421,160 is 67360.
The greatest common factor of 3616/421,7509/160 = [GCF of 3616,7509]/[LCM of 421,160]= 1/67360
Therefore, the GCF of 3616/421,7509/160 is 1/67360.
To find the highest common factor of 3616,7509, we have to find the factors of both numbers and list the highest common factor.
The factors of 3616 are 1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616
The factors of 7509 are 1, 3, 2503, 7509
The HCF of 3616,7509 is 1.
Lets's calculate GCF of 3616,7509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3616,7509 By Matching Biggest Common Factor Method
Now, list down the factors of 3616
:1,2,4,8,16,32,113,226,452,904,1808,3616
Now, list down the factors of 7509
:1,3,2503,7509
Greatest Common Factor
We found the factors 3616,7509 . The biggest common factor number is the GCF number.
So the greatest common factor 3616,7509 is 1.
Lets's calculate LCM of 421,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 67360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67360
Therefore, the GCF of Fractions 3616/421,7509/160 is 1/67360
Least Common Multiple of 421,160 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 421,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,160) x common factors =1 x 1 = 1
LCM(421,160) = ( 421 × 160 ) / 1
LCM(421,160) = 67360 / 1
LCM(421,160) = 67360
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FAQs on GCF of Fractions of 3616/421, 7509/160
1. What is the HCF of 3616,7509?
The HCF of 3616,7509 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 3616/421, 7509/160?
Answer: GCF of Numerators as per given numbers 3616/421, 7509/160 is
GCF of Numerators i.e. for 3616,7509 is 1
LCM of denominators i.e. for 421,160 is 67360.
Thus, GCF of Fractions is 1/67360.Finally, GCF of Fractions for 3616/421, 7509/160 is 1/67360.