GCF of 5408/994, 4912/9877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5408/994, 4912/9877 i.e 16/1402534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5408/994, 4912/9877.
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 5408/994,4912/9877?
Given fractions are 5408/994,4912/9877
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 5408/994,4912/9877, numerators are 5408,4912
Denominators are 994,9877
The GCF of 5408,4912 is 16 .
LCM of 994,9877 is 1402534.
The greatest common factor of 5408/994,4912/9877 = [GCF of 5408,4912]/[LCM of 994,9877]= 16/1402534
Therefore, the GCF of 5408/994,4912/9877 is 16/1402534.
To find the highest common factor of 5408,4912, we have to find the factors of both numbers and list the highest common factor.
The factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408
The factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912
The HCF of 5408,4912 is 16.
Lets's calculate GCF of 5408,4912
| 2 | 5408, 4912 |
| 2 | 2704, 2456 |
| 2 | 1352, 1228 |
| 2 | 676, 614 |
| 338, 307 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5408,4912 By Matching Biggest Common Factor Method
Now, list down the factors of 5408
:1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408
Now, list down the factors of 4912
:1,2,4,8,16,307,614,1228,2456,4912
Greatest Common Factor
We found the factors 5408,4912 . The biggest common factor number is the GCF number.
So the greatest common factor 5408,4912 is 16.
Lets's calculate LCM of 994,9877
| 7 | 994, 9877 |
| 142, 1411 |
∴ So the LCM of the given numbers is 7 x 142 x 1411 = 1402534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1402534
Therefore, the GCF of Fractions 5408/994,4912/9877 is 16/1402534
Least Common Multiple of 994,9877 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 994,9877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,9877) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(994,9877) x common factors =7 x 1 = 7
LCM(994,9877) = ( 994 × 9877 ) / 7
LCM(994,9877) = 9817738 / 7
LCM(994,9877) = 1402534
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FAQs on GCF of Fractions of 5408/994, 4912/9877
1. What is the HCF of 5408,4912?
The HCF of 5408,4912 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 5408/994, 4912/9877?
Answer: GCF of Numerators as per given numbers 5408/994, 4912/9877 is
GCF of Numerators i.e. for 5408,4912 is 16
LCM of denominators i.e. for 994,9877 is 1402534.
Thus, GCF of Fractions is 16/1402534.Finally, GCF of Fractions for 5408/994, 4912/9877 is 16/1402534.