GCF of 5348/364, 8202/625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5348/364, 8202/625 i.e 2/227500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5348/364, 8202/625.
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 5348/364,8202/625?
Given fractions are 5348/364,8202/625
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 5348/364,8202/625, numerators are 5348,8202
Denominators are 364,625
The GCF of 5348,8202 is 2 .
LCM of 364,625 is 227500.
The greatest common factor of 5348/364,8202/625 = [GCF of 5348,8202]/[LCM of 364,625]= 2/227500
Therefore, the GCF of 5348/364,8202/625 is 2/227500.
To find the highest common factor of 5348,8202, we have to find the factors of both numbers and list the highest common factor.
The factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348
The factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202
The HCF of 5348,8202 is 2.
Lets's calculate GCF of 5348,8202
| 2 | 5348, 8202 |
| 2674, 4101 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5348,8202 By Matching Biggest Common Factor Method
Now, list down the factors of 5348
:1,2,4,7,14,28,191,382,764,1337,2674,5348
Now, list down the factors of 8202
:1,2,3,6,1367,2734,4101,8202
Greatest Common Factor
We found the factors 5348,8202 . The biggest common factor number is the GCF number.
So the greatest common factor 5348,8202 is 2.
Lets's calculate LCM of 364,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 227500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227500
Therefore, the GCF of Fractions 5348/364,8202/625 is 2/227500
Least Common Multiple of 364,625 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 364,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,625) x common factors =1 x 1 = 1
LCM(364,625) = ( 364 × 625 ) / 1
LCM(364,625) = 227500 / 1
LCM(364,625) = 227500
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FAQs on GCF of Fractions of 5348/364, 8202/625
1. What is the HCF of 5348,8202?
The HCF of 5348,8202 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 5348/364, 8202/625?
Answer: GCF of Numerators as per given numbers 5348/364, 8202/625 is
GCF of Numerators i.e. for 5348,8202 is 2
LCM of denominators i.e. for 364,625 is 227500.
Thus, GCF of Fractions is 2/227500.Finally, GCF of Fractions for 5348/364, 8202/625 is 2/227500.