GCF of 1464/75, 4785/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1464/75, 4785/764 i.e 3/57300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1464/75, 4785/764.
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 1464/75,4785/764?
Given fractions are 1464/75,4785/764
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 1464/75,4785/764, numerators are 1464,4785
Denominators are 75,764
The GCF of 1464,4785 is 3 .
LCM of 75,764 is 57300.
The greatest common factor of 1464/75,4785/764 = [GCF of 1464,4785]/[LCM of 75,764]= 3/57300
Therefore, the GCF of 1464/75,4785/764 is 3/57300.
To find the highest common factor of 1464,4785, we have to find the factors of both numbers and list the highest common factor.
The factors of 1464 are 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464
The factors of 4785 are 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785
The HCF of 1464,4785 is 3.
Lets's calculate GCF of 1464,4785
| 3 | 1464, 4785 |
| 488, 1595 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1464,4785 By Matching Biggest Common Factor Method
Now, list down the factors of 1464
:1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464
Now, list down the factors of 4785
:1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785
Greatest Common Factor
We found the factors 1464,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 1464,4785 is 3.
Lets's calculate LCM of 75,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 57300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57300
Therefore, the GCF of Fractions 1464/75,4785/764 is 3/57300
Least Common Multiple of 75,764 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 75,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,764) x common factors =1 x 1 = 1
LCM(75,764) = ( 75 × 764 ) / 1
LCM(75,764) = 57300 / 1
LCM(75,764) = 57300
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FAQs on GCF of Fractions of 1464/75, 4785/764
1. What is the HCF of 1464,4785?
The HCF of 1464,4785 is 3
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 1464/75, 4785/764?
Answer: GCF of Numerators as per given numbers 1464/75, 4785/764 is
GCF of Numerators i.e. for 1464,4785 is 3
LCM of denominators i.e. for 75,764 is 57300.
Thus, GCF of Fractions is 3/57300.Finally, GCF of Fractions for 1464/75, 4785/764 is 3/57300.