GCF of 9625/619, 4100/4971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9625/619, 4100/4971 i.e 25/3077049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9625/619, 4100/4971.
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 9625/619,4100/4971?
Given fractions are 9625/619,4100/4971
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 9625/619,4100/4971, numerators are 9625,4100
Denominators are 619,4971
The GCF of 9625,4100 is 25 .
LCM of 619,4971 is 3077049.
The greatest common factor of 9625/619,4100/4971 = [GCF of 9625,4100]/[LCM of 619,4971]= 25/3077049
Therefore, the GCF of 9625/619,4100/4971 is 25/3077049.
To find the highest common factor of 9625,4100, we have to find the factors of both numbers and list the highest common factor.
The factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625
The factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100
The HCF of 9625,4100 is 25.
Lets's calculate GCF of 9625,4100
| 5 | 9625, 4100 |
| 5 | 1925, 820 |
| 385, 164 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 9625,4100 By Matching Biggest Common Factor Method
Now, list down the factors of 9625
:1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625
Now, list down the factors of 4100
:1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100
Greatest Common Factor
We found the factors 9625,4100 . The biggest common factor number is the GCF number.
So the greatest common factor 9625,4100 is 25.
Lets's calculate LCM of 619,4971
Given numbers has no common factors except 1. So, there LCM is their product i.e 3077049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/3077049
Therefore, the GCF of Fractions 9625/619,4100/4971 is 25/3077049
Least Common Multiple of 619,4971 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 619,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,4971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,4971) x common factors =1 x 1 = 1
LCM(619,4971) = ( 619 × 4971 ) / 1
LCM(619,4971) = 3077049 / 1
LCM(619,4971) = 3077049
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9625/619, 4100/4971
1. What is the HCF of 9625,4100?
The HCF of 9625,4100 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 9625/619, 4100/4971?
Answer: GCF of Numerators as per given numbers 9625/619, 4100/4971 is
GCF of Numerators i.e. for 9625,4100 is 25
LCM of denominators i.e. for 619,4971 is 3077049.
Thus, GCF of Fractions is 25/3077049.Finally, GCF of Fractions for 9625/619, 4100/4971 is 25/3077049.