GCF of 7580/820, 9955/4756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7580/820, 9955/4756 i.e 5/23780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7580/820, 9955/4756.
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 7580/820,9955/4756?
Given fractions are 7580/820,9955/4756
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 7580/820,9955/4756, numerators are 7580,9955
Denominators are 820,4756
The GCF of 7580,9955 is 5 .
LCM of 820,4756 is 23780.
The greatest common factor of 7580/820,9955/4756 = [GCF of 7580,9955]/[LCM of 820,4756]= 5/23780
Therefore, the GCF of 7580/820,9955/4756 is 5/23780.
To find the highest common factor of 7580,9955, we have to find the factors of both numbers and list the highest common factor.
The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580
The factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955
The HCF of 7580,9955 is 5.
Lets's calculate GCF of 7580,9955
| 5 | 7580, 9955 |
| 1516, 1991 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7580,9955 By Matching Biggest Common Factor Method
Now, list down the factors of 7580
:1,2,4,5,10,20,379,758,1516,1895,3790,7580
Now, list down the factors of 9955
:1,5,11,55,181,905,1991,9955
Greatest Common Factor
We found the factors 7580,9955 . The biggest common factor number is the GCF number.
So the greatest common factor 7580,9955 is 5.
Lets's calculate LCM of 820,4756
| 2 | 820, 4756 |
| 2 | 410, 2378 |
| 41 | 205, 1189 |
| 5, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 5 x 29 = 23780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/23780
Therefore, the GCF of Fractions 7580/820,9955/4756 is 5/23780
Least Common Multiple of 820,4756 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 820,4756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,4756) = 164
common factors(in case of two or more numbers have common factors) = 1
GCF(820,4756) x common factors =164 x 1 = 164
LCM(820,4756) = ( 820 × 4756 ) / 164
LCM(820,4756) = 3899920 / 164
LCM(820,4756) = 23780
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FAQs on GCF of Fractions of 7580/820, 9955/4756
1. What is the HCF of 7580,9955?
The HCF of 7580,9955 is 5
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 7580/820, 9955/4756?
Answer: GCF of Numerators as per given numbers 7580/820, 9955/4756 is
GCF of Numerators i.e. for 7580,9955 is 5
LCM of denominators i.e. for 820,4756 is 23780.
Thus, GCF of Fractions is 5/23780.Finally, GCF of Fractions for 7580/820, 9955/4756 is 5/23780.