GCF of 7325/343, 5544/618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7325/343, 5544/618 i.e 1/211974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7325/343, 5544/618.
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 7325/343,5544/618?
Given fractions are 7325/343,5544/618
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 7325/343,5544/618, numerators are 7325,5544
Denominators are 343,618
The GCF of 7325,5544 is 1 .
LCM of 343,618 is 211974.
The greatest common factor of 7325/343,5544/618 = [GCF of 7325,5544]/[LCM of 343,618]= 1/211974
Therefore, the GCF of 7325/343,5544/618 is 1/211974.
To find the highest common factor of 7325,5544, we have to find the factors of both numbers and list the highest common factor.
The factors of 7325 are 1, 5, 25, 293, 1465, 7325
The factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544
The HCF of 7325,5544 is 1.
Lets's calculate GCF of 7325,5544
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7325,5544 By Matching Biggest Common Factor Method
Now, list down the factors of 7325
:1,5,25,293,1465,7325
Now, list down the factors of 5544
:1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544
Greatest Common Factor
We found the factors 7325,5544 . The biggest common factor number is the GCF number.
So the greatest common factor 7325,5544 is 1.
Lets's calculate LCM of 343,618
Given numbers has no common factors except 1. So, there LCM is their product i.e 211974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211974
Therefore, the GCF of Fractions 7325/343,5544/618 is 1/211974
Least Common Multiple of 343,618 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 343,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,618) x common factors =1 x 1 = 1
LCM(343,618) = ( 343 × 618 ) / 1
LCM(343,618) = 211974 / 1
LCM(343,618) = 211974
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FAQs on GCF of Fractions of 7325/343, 5544/618
1. What is the HCF of 7325,5544?
The HCF of 7325,5544 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 7325/343, 5544/618?
Answer: GCF of Numerators as per given numbers 7325/343, 5544/618 is
GCF of Numerators i.e. for 7325,5544 is 1
LCM of denominators i.e. for 343,618 is 211974.
Thus, GCF of Fractions is 1/211974.Finally, GCF of Fractions for 7325/343, 5544/618 is 1/211974.