GCF of 5328/270, 7719/6379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5328/270, 7719/6379 i.e 3/1722330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5328/270, 7719/6379.
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 5328/270,7719/6379?
Given fractions are 5328/270,7719/6379
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 5328/270,7719/6379, numerators are 5328,7719
Denominators are 270,6379
The GCF of 5328,7719 is 3 .
LCM of 270,6379 is 1722330.
The greatest common factor of 5328/270,7719/6379 = [GCF of 5328,7719]/[LCM of 270,6379]= 3/1722330
Therefore, the GCF of 5328/270,7719/6379 is 3/1722330.
To find the highest common factor of 5328,7719, we have to find the factors of both numbers and list the highest common factor.
The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328
The factors of 7719 are 1, 3, 31, 83, 93, 249, 2573, 7719
The HCF of 5328,7719 is 3.
Lets's calculate GCF of 5328,7719
| 3 | 5328, 7719 |
| 1776, 2573 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5328,7719 By Matching Biggest Common Factor Method
Now, list down the factors of 5328
:1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328
Now, list down the factors of 7719
:1,3,31,83,93,249,2573,7719
Greatest Common Factor
We found the factors 5328,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 5328,7719 is 3.
Lets's calculate LCM of 270,6379
Given numbers has no common factors except 1. So, there LCM is their product i.e 1722330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1722330
Therefore, the GCF of Fractions 5328/270,7719/6379 is 3/1722330
Least Common Multiple of 270,6379 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 270,6379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,6379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,6379) x common factors =1 x 1 = 1
LCM(270,6379) = ( 270 × 6379 ) / 1
LCM(270,6379) = 1722330 / 1
LCM(270,6379) = 1722330
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FAQs on GCF of Fractions of 5328/270, 7719/6379
1. What is the HCF of 5328,7719?
The HCF of 5328,7719 is 3
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 5328/270, 7719/6379?
Answer: GCF of Numerators as per given numbers 5328/270, 7719/6379 is
GCF of Numerators i.e. for 5328,7719 is 3
LCM of denominators i.e. for 270,6379 is 1722330.
Thus, GCF of Fractions is 3/1722330.Finally, GCF of Fractions for 5328/270, 7719/6379 is 3/1722330.