GCF of 5648/956, 5424/7576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5648/956, 5424/7576 i.e 16/1810664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5648/956, 5424/7576.
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 5648/956,5424/7576?
Given fractions are 5648/956,5424/7576
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 5648/956,5424/7576, numerators are 5648,5424
Denominators are 956,7576
The GCF of 5648,5424 is 16 .
LCM of 956,7576 is 1810664.
The greatest common factor of 5648/956,5424/7576 = [GCF of 5648,5424]/[LCM of 956,7576]= 16/1810664
Therefore, the GCF of 5648/956,5424/7576 is 16/1810664.
To find the highest common factor of 5648,5424, we have to find the factors of both numbers and list the highest common factor.
The factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648
The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424
The HCF of 5648,5424 is 16.
Lets's calculate GCF of 5648,5424
| 2 | 5648, 5424 |
| 2 | 2824, 2712 |
| 2 | 1412, 1356 |
| 2 | 706, 678 |
| 353, 339 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5648,5424 By Matching Biggest Common Factor Method
Now, list down the factors of 5648
:1,2,4,8,16,353,706,1412,2824,5648
Now, list down the factors of 5424
:1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424
Greatest Common Factor
We found the factors 5648,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 5648,5424 is 16.
Lets's calculate LCM of 956,7576
| 2 | 956, 7576 |
| 2 | 478, 3788 |
| 239, 1894 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 1894 = 1810664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1810664
Therefore, the GCF of Fractions 5648/956,5424/7576 is 16/1810664
Least Common Multiple of 956,7576 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 956,7576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,7576) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(956,7576) x common factors =4 x 1 = 4
LCM(956,7576) = ( 956 × 7576 ) / 4
LCM(956,7576) = 7242656 / 4
LCM(956,7576) = 1810664
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FAQs on GCF of Fractions of 5648/956, 5424/7576
1. What is the HCF of 5648,5424?
The HCF of 5648,5424 is 16
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 5648/956, 5424/7576?
Answer: GCF of Numerators as per given numbers 5648/956, 5424/7576 is
GCF of Numerators i.e. for 5648,5424 is 16
LCM of denominators i.e. for 956,7576 is 1810664.
Thus, GCF of Fractions is 16/1810664.Finally, GCF of Fractions for 5648/956, 5424/7576 is 16/1810664.