GCF of 5724/215, 7788/7226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5724/215, 7788/7226 i.e 12/1553590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5724/215, 7788/7226.
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 5724/215,7788/7226?
Given fractions are 5724/215,7788/7226
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 5724/215,7788/7226, numerators are 5724,7788
Denominators are 215,7226
The GCF of 5724,7788 is 12 .
LCM of 215,7226 is 1553590.
The greatest common factor of 5724/215,7788/7226 = [GCF of 5724,7788]/[LCM of 215,7226]= 12/1553590
Therefore, the GCF of 5724/215,7788/7226 is 12/1553590.
To find the highest common factor of 5724,7788, we have to find the factors of both numbers and list the highest common factor.
The factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724
The factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788
The HCF of 5724,7788 is 12.
Lets's calculate GCF of 5724,7788
| 2 | 5724, 7788 |
| 2 | 2862, 3894 |
| 3 | 1431, 1947 |
| 477, 649 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5724,7788 By Matching Biggest Common Factor Method
Now, list down the factors of 5724
:1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724
Now, list down the factors of 7788
:1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788
Greatest Common Factor
We found the factors 5724,7788 . The biggest common factor number is the GCF number.
So the greatest common factor 5724,7788 is 12.
Lets's calculate LCM of 215,7226
Given numbers has no common factors except 1. So, there LCM is their product i.e 1553590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1553590
Therefore, the GCF of Fractions 5724/215,7788/7226 is 12/1553590
Least Common Multiple of 215,7226 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 215,7226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,7226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,7226) x common factors =1 x 1 = 1
LCM(215,7226) = ( 215 × 7226 ) / 1
LCM(215,7226) = 1553590 / 1
LCM(215,7226) = 1553590
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FAQs on GCF of Fractions of 5724/215, 7788/7226
1. What is the HCF of 5724,7788?
The HCF of 5724,7788 is 12
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 5724/215, 7788/7226?
Answer: GCF of Numerators as per given numbers 5724/215, 7788/7226 is
GCF of Numerators i.e. for 5724,7788 is 12
LCM of denominators i.e. for 215,7226 is 1553590.
Thus, GCF of Fractions is 12/1553590.Finally, GCF of Fractions for 5724/215, 7788/7226 is 12/1553590.