GCF of 4925/993, 8950/3852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4925/993, 8950/3852 i.e 25/1275012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4925/993, 8950/3852.
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 4925/993,8950/3852?
Given fractions are 4925/993,8950/3852
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 4925/993,8950/3852, numerators are 4925,8950
Denominators are 993,3852
The GCF of 4925,8950 is 25 .
LCM of 993,3852 is 1275012.
The greatest common factor of 4925/993,8950/3852 = [GCF of 4925,8950]/[LCM of 993,3852]= 25/1275012
Therefore, the GCF of 4925/993,8950/3852 is 25/1275012.
To find the highest common factor of 4925,8950, we have to find the factors of both numbers and list the highest common factor.
The factors of 4925 are 1, 5, 25, 197, 985, 4925
The factors of 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950
The HCF of 4925,8950 is 25.
Lets's calculate GCF of 4925,8950
| 5 | 4925, 8950 |
| 5 | 985, 1790 |
| 197, 358 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4925,8950 By Matching Biggest Common Factor Method
Now, list down the factors of 4925
:1,5,25,197,985,4925
Now, list down the factors of 8950
:1,2,5,10,25,50,179,358,895,1790,4475,8950
Greatest Common Factor
We found the factors 4925,8950 . The biggest common factor number is the GCF number.
So the greatest common factor 4925,8950 is 25.
Lets's calculate LCM of 993,3852
| 3 | 993, 3852 |
| 331, 1284 |
∴ So the LCM of the given numbers is 3 x 331 x 1284 = 1275012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1275012
Therefore, the GCF of Fractions 4925/993,8950/3852 is 25/1275012
Least Common Multiple of 993,3852 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 993,3852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,3852) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,3852) x common factors =3 x 1 = 3
LCM(993,3852) = ( 993 × 3852 ) / 3
LCM(993,3852) = 3825036 / 3
LCM(993,3852) = 1275012
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FAQs on GCF of Fractions of 4925/993, 8950/3852
1. What is the HCF of 4925,8950?
The HCF of 4925,8950 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 4925/993, 8950/3852?
Answer: GCF of Numerators as per given numbers 4925/993, 8950/3852 is
GCF of Numerators i.e. for 4925,8950 is 25
LCM of denominators i.e. for 993,3852 is 1275012.
Thus, GCF of Fractions is 25/1275012.Finally, GCF of Fractions for 4925/993, 8950/3852 is 25/1275012.