GCF of 8435/212, 7288/272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8435/212, 7288/272 i.e 1/14416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8435/212, 7288/272.
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 8435/212,7288/272?
Given fractions are 8435/212,7288/272
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 8435/212,7288/272, numerators are 8435,7288
Denominators are 212,272
The GCF of 8435,7288 is 1 .
LCM of 212,272 is 14416.
The greatest common factor of 8435/212,7288/272 = [GCF of 8435,7288]/[LCM of 212,272]= 1/14416
Therefore, the GCF of 8435/212,7288/272 is 1/14416.
To find the highest common factor of 8435,7288, we have to find the factors of both numbers and list the highest common factor.
The factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435
The factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288
The HCF of 8435,7288 is 1.
Lets's calculate GCF of 8435,7288
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8435,7288 By Matching Biggest Common Factor Method
Now, list down the factors of 8435
:1,5,7,35,241,1205,1687,8435
Now, list down the factors of 7288
:1,2,4,8,911,1822,3644,7288
Greatest Common Factor
We found the factors 8435,7288 . The biggest common factor number is the GCF number.
So the greatest common factor 8435,7288 is 1.
Lets's calculate LCM of 212,272
| 2 | 212, 272 |
| 2 | 106, 136 |
| 53, 68 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 68 = 14416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14416
Therefore, the GCF of Fractions 8435/212,7288/272 is 1/14416
Least Common Multiple of 212,272 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 212,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,272) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,272) x common factors =4 x 1 = 4
LCM(212,272) = ( 212 × 272 ) / 4
LCM(212,272) = 57664 / 4
LCM(212,272) = 14416
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FAQs on GCF of Fractions of 8435/212, 7288/272
1. What is the HCF of 8435,7288?
The HCF of 8435,7288 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 8435/212, 7288/272?
Answer: GCF of Numerators as per given numbers 8435/212, 7288/272 is
GCF of Numerators i.e. for 8435,7288 is 1
LCM of denominators i.e. for 212,272 is 14416.
Thus, GCF of Fractions is 1/14416.Finally, GCF of Fractions for 8435/212, 7288/272 is 1/14416.