GCF of 5784/779, 6520/3230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5784/779, 6520/3230 i.e 8/132430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5784/779, 6520/3230.
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 5784/779,6520/3230?
Given fractions are 5784/779,6520/3230
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 5784/779,6520/3230, numerators are 5784,6520
Denominators are 779,3230
The GCF of 5784,6520 is 8 .
LCM of 779,3230 is 132430.
The greatest common factor of 5784/779,6520/3230 = [GCF of 5784,6520]/[LCM of 779,3230]= 8/132430
Therefore, the GCF of 5784/779,6520/3230 is 8/132430.
To find the highest common factor of 5784,6520, we have to find the factors of both numbers and list the highest common factor.
The factors of 5784 are 1, 2, 3, 4, 6, 8, 12, 24, 241, 482, 723, 964, 1446, 1928, 2892, 5784
The factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520
The HCF of 5784,6520 is 8.
Lets's calculate GCF of 5784,6520
| 2 | 5784, 6520 |
| 2 | 2892, 3260 |
| 2 | 1446, 1630 |
| 723, 815 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5784,6520 By Matching Biggest Common Factor Method
Now, list down the factors of 5784
:1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784
Now, list down the factors of 6520
:1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Greatest Common Factor
We found the factors 5784,6520 . The biggest common factor number is the GCF number.
So the greatest common factor 5784,6520 is 8.
Lets's calculate LCM of 779,3230
| 19 | 779, 3230 |
| 41, 170 |
∴ So the LCM of the given numbers is 19 x 41 x 170 = 132430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/132430
Therefore, the GCF of Fractions 5784/779,6520/3230 is 8/132430
Least Common Multiple of 779,3230 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 779,3230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,3230) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(779,3230) x common factors =19 x 1 = 19
LCM(779,3230) = ( 779 × 3230 ) / 19
LCM(779,3230) = 2516170 / 19
LCM(779,3230) = 132430
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FAQs on GCF of Fractions of 5784/779, 6520/3230
1. What is the HCF of 5784,6520?
The HCF of 5784,6520 is 8
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 5784/779, 6520/3230?
Answer: GCF of Numerators as per given numbers 5784/779, 6520/3230 is
GCF of Numerators i.e. for 5784,6520 is 8
LCM of denominators i.e. for 779,3230 is 132430.
Thus, GCF of Fractions is 8/132430.Finally, GCF of Fractions for 5784/779, 6520/3230 is 8/132430.