GCF of 4900/256, 9875/6016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4900/256, 9875/6016 i.e 25/12032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4900/256, 9875/6016.
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 4900/256,9875/6016?
Given fractions are 4900/256,9875/6016
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 4900/256,9875/6016, numerators are 4900,9875
Denominators are 256,6016
The GCF of 4900,9875 is 25 .
LCM of 256,6016 is 12032.
The greatest common factor of 4900/256,9875/6016 = [GCF of 4900,9875]/[LCM of 256,6016]= 25/12032
Therefore, the GCF of 4900/256,9875/6016 is 25/12032.
To find the highest common factor of 4900,9875, we have to find the factors of both numbers and list the highest common factor.
The factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900
The factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875
The HCF of 4900,9875 is 25.
Lets's calculate GCF of 4900,9875
| 5 | 4900, 9875 |
| 5 | 980, 1975 |
| 196, 395 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4900,9875 By Matching Biggest Common Factor Method
Now, list down the factors of 4900
:1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900
Now, list down the factors of 9875
:1,5,25,79,125,395,1975,9875
Greatest Common Factor
We found the factors 4900,9875 . The biggest common factor number is the GCF number.
So the greatest common factor 4900,9875 is 25.
Lets's calculate LCM of 256,6016
| 2 | 256, 6016 |
| 2 | 128, 3008 |
| 2 | 64, 1504 |
| 2 | 32, 752 |
| 2 | 16, 376 |
| 2 | 8, 188 |
| 2 | 4, 94 |
| 2, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 47 = 12032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/12032
Therefore, the GCF of Fractions 4900/256,9875/6016 is 25/12032
Least Common Multiple of 256,6016 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 256,6016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,6016) = 128
common factors(in case of two or more numbers have common factors) = 1
GCF(256,6016) x common factors =128 x 1 = 128
LCM(256,6016) = ( 256 × 6016 ) / 128
LCM(256,6016) = 1540096 / 128
LCM(256,6016) = 12032
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FAQs on GCF of Fractions of 4900/256, 9875/6016
1. What is the HCF of 4900,9875?
The HCF of 4900,9875 is 25
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 4900/256, 9875/6016?
Answer: GCF of Numerators as per given numbers 4900/256, 9875/6016 is
GCF of Numerators i.e. for 4900,9875 is 25
LCM of denominators i.e. for 256,6016 is 12032.
Thus, GCF of Fractions is 25/12032.Finally, GCF of Fractions for 4900/256, 9875/6016 is 25/12032.