GCF of 7371/518, 3076/6914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7371/518, 3076/6914 i.e 1/1790726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7371/518, 3076/6914.
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 7371/518,3076/6914?
Given fractions are 7371/518,3076/6914
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 7371/518,3076/6914, numerators are 7371,3076
Denominators are 518,6914
The GCF of 7371,3076 is 1 .
LCM of 518,6914 is 1790726.
The greatest common factor of 7371/518,3076/6914 = [GCF of 7371,3076]/[LCM of 518,6914]= 1/1790726
Therefore, the GCF of 7371/518,3076/6914 is 1/1790726.
To find the highest common factor of 7371,3076, we have to find the factors of both numbers and list the highest common factor.
The factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371
The factors of 3076 are 1, 2, 4, 769, 1538, 3076
The HCF of 7371,3076 is 1.
Lets's calculate GCF of 7371,3076
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7371,3076 By Matching Biggest Common Factor Method
Now, list down the factors of 7371
:1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371
Now, list down the factors of 3076
:1,2,4,769,1538,3076
Greatest Common Factor
We found the factors 7371,3076 . The biggest common factor number is the GCF number.
So the greatest common factor 7371,3076 is 1.
Lets's calculate LCM of 518,6914
| 2 | 518, 6914 |
| 259, 3457 |
∴ So the LCM of the given numbers is 2 x 259 x 3457 = 1790726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1790726
Therefore, the GCF of Fractions 7371/518,3076/6914 is 1/1790726
Least Common Multiple of 518,6914 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 518,6914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,6914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,6914) x common factors =2 x 1 = 2
LCM(518,6914) = ( 518 × 6914 ) / 2
LCM(518,6914) = 3581452 / 2
LCM(518,6914) = 1790726
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FAQs on GCF of Fractions of 7371/518, 3076/6914
1. What is the HCF of 7371,3076?
The HCF of 7371,3076 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 7371/518, 3076/6914?
Answer: GCF of Numerators as per given numbers 7371/518, 3076/6914 is
GCF of Numerators i.e. for 7371,3076 is 1
LCM of denominators i.e. for 518,6914 is 1790726.
Thus, GCF of Fractions is 1/1790726.Finally, GCF of Fractions for 7371/518, 3076/6914 is 1/1790726.