GCF of 7216/79, 1636/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7216/79, 1636/238 i.e 4/18802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7216/79, 1636/238.
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 7216/79,1636/238?
Given fractions are 7216/79,1636/238
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 7216/79,1636/238, numerators are 7216,1636
Denominators are 79,238
The GCF of 7216,1636 is 4 .
LCM of 79,238 is 18802.
The greatest common factor of 7216/79,1636/238 = [GCF of 7216,1636]/[LCM of 79,238]= 4/18802
Therefore, the GCF of 7216/79,1636/238 is 4/18802.
To find the highest common factor of 7216,1636, we have to find the factors of both numbers and list the highest common factor.
The factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216
The factors of 1636 are 1, 2, 4, 409, 818, 1636
The HCF of 7216,1636 is 4.
Lets's calculate GCF of 7216,1636
| 2 | 7216, 1636 |
| 2 | 3608, 818 |
| 1804, 409 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7216,1636 By Matching Biggest Common Factor Method
Now, list down the factors of 7216
:1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216
Now, list down the factors of 1636
:1,2,4,409,818,1636
Greatest Common Factor
We found the factors 7216,1636 . The biggest common factor number is the GCF number.
So the greatest common factor 7216,1636 is 4.
Lets's calculate LCM of 79,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 18802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/18802
Therefore, the GCF of Fractions 7216/79,1636/238 is 4/18802
Least Common Multiple of 79,238 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 79,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,238) x common factors =1 x 1 = 1
LCM(79,238) = ( 79 × 238 ) / 1
LCM(79,238) = 18802 / 1
LCM(79,238) = 18802
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FAQs on GCF of Fractions of 7216/79, 1636/238
1. What is the HCF of 7216,1636?
The HCF of 7216,1636 is 4
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 7216/79, 1636/238?
Answer: GCF of Numerators as per given numbers 7216/79, 1636/238 is
GCF of Numerators i.e. for 7216,1636 is 4
LCM of denominators i.e. for 79,238 is 18802.
Thus, GCF of Fractions is 4/18802.Finally, GCF of Fractions for 7216/79, 1636/238 is 4/18802.