GCF of 4980/964, 9815/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4980/964, 9815/759 i.e 5/731676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4980/964, 9815/759.
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 4980/964,9815/759?
Given fractions are 4980/964,9815/759
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 4980/964,9815/759, numerators are 4980,9815
Denominators are 964,759
The GCF of 4980,9815 is 5 .
LCM of 964,759 is 731676.
The greatest common factor of 4980/964,9815/759 = [GCF of 4980,9815]/[LCM of 964,759]= 5/731676
Therefore, the GCF of 4980/964,9815/759 is 5/731676.
To find the highest common factor of 4980,9815, we have to find the factors of both numbers and list the highest common factor.
The factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980
The factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815
The HCF of 4980,9815 is 5.
Lets's calculate GCF of 4980,9815
| 5 | 4980, 9815 |
| 996, 1963 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4980,9815 By Matching Biggest Common Factor Method
Now, list down the factors of 4980
:1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980
Now, list down the factors of 9815
:1,5,13,65,151,755,1963,9815
Greatest Common Factor
We found the factors 4980,9815 . The biggest common factor number is the GCF number.
So the greatest common factor 4980,9815 is 5.
Lets's calculate LCM of 964,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 731676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/731676
Therefore, the GCF of Fractions 4980/964,9815/759 is 5/731676
Least Common Multiple of 964,759 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 964,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,759) x common factors =1 x 1 = 1
LCM(964,759) = ( 964 × 759 ) / 1
LCM(964,759) = 731676 / 1
LCM(964,759) = 731676
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FAQs on GCF of Fractions of 4980/964, 9815/759
1. What is the HCF of 4980,9815?
The HCF of 4980,9815 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 4980/964, 9815/759?
Answer: GCF of Numerators as per given numbers 4980/964, 9815/759 is
GCF of Numerators i.e. for 4980,9815 is 5
LCM of denominators i.e. for 964,759 is 731676.
Thus, GCF of Fractions is 5/731676.Finally, GCF of Fractions for 4980/964, 9815/759 is 5/731676.