GCF of 6734/253, 5420/329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6734/253, 5420/329 i.e 2/83237 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6734/253, 5420/329.
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 6734/253,5420/329?
Given fractions are 6734/253,5420/329
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 6734/253,5420/329, numerators are 6734,5420
Denominators are 253,329
The GCF of 6734,5420 is 2 .
LCM of 253,329 is 83237.
The greatest common factor of 6734/253,5420/329 = [GCF of 6734,5420]/[LCM of 253,329]= 2/83237
Therefore, the GCF of 6734/253,5420/329 is 2/83237.
To find the highest common factor of 6734,5420, we have to find the factors of both numbers and list the highest common factor.
The factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734
The factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420
The HCF of 6734,5420 is 2.
Lets's calculate GCF of 6734,5420
| 2 | 6734, 5420 |
| 3367, 2710 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6734,5420 By Matching Biggest Common Factor Method
Now, list down the factors of 6734
:1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734
Now, list down the factors of 5420
:1,2,4,5,10,20,271,542,1084,1355,2710,5420
Greatest Common Factor
We found the factors 6734,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 6734,5420 is 2.
Lets's calculate LCM of 253,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 83237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83237
Therefore, the GCF of Fractions 6734/253,5420/329 is 2/83237
Least Common Multiple of 253,329 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 253,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,329) x common factors =1 x 1 = 1
LCM(253,329) = ( 253 × 329 ) / 1
LCM(253,329) = 83237 / 1
LCM(253,329) = 83237
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FAQs on GCF of Fractions of 6734/253, 5420/329
1. What is the HCF of 6734,5420?
The HCF of 6734,5420 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 6734/253, 5420/329?
Answer: GCF of Numerators as per given numbers 6734/253, 5420/329 is
GCF of Numerators i.e. for 6734,5420 is 2
LCM of denominators i.e. for 253,329 is 83237.
Thus, GCF of Fractions is 2/83237.Finally, GCF of Fractions for 6734/253, 5420/329 is 2/83237.