GCF of 6488/807, 4852/9160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6488/807, 4852/9160 i.e 4/7392120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6488/807, 4852/9160.
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 6488/807,4852/9160?
Given fractions are 6488/807,4852/9160
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 6488/807,4852/9160, numerators are 6488,4852
Denominators are 807,9160
The GCF of 6488,4852 is 4 .
LCM of 807,9160 is 7392120.
The greatest common factor of 6488/807,4852/9160 = [GCF of 6488,4852]/[LCM of 807,9160]= 4/7392120
Therefore, the GCF of 6488/807,4852/9160 is 4/7392120.
To find the highest common factor of 6488,4852, we have to find the factors of both numbers and list the highest common factor.
The factors of 6488 are 1, 2, 4, 8, 811, 1622, 3244, 6488
The factors of 4852 are 1, 2, 4, 1213, 2426, 4852
The HCF of 6488,4852 is 4.
Lets's calculate GCF of 6488,4852
| 2 | 6488, 4852 |
| 2 | 3244, 2426 |
| 1622, 1213 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6488,4852 By Matching Biggest Common Factor Method
Now, list down the factors of 6488
:1,2,4,8,811,1622,3244,6488
Now, list down the factors of 4852
:1,2,4,1213,2426,4852
Greatest Common Factor
We found the factors 6488,4852 . The biggest common factor number is the GCF number.
So the greatest common factor 6488,4852 is 4.
Lets's calculate LCM of 807,9160
Given numbers has no common factors except 1. So, there LCM is their product i.e 7392120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7392120
Therefore, the GCF of Fractions 6488/807,4852/9160 is 4/7392120
Least Common Multiple of 807,9160 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 807,9160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,9160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,9160) x common factors =1 x 1 = 1
LCM(807,9160) = ( 807 × 9160 ) / 1
LCM(807,9160) = 7392120 / 1
LCM(807,9160) = 7392120
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6488/807, 4852/9160
1. What is the HCF of 6488,4852?
The HCF of 6488,4852 is 4
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 6488/807, 4852/9160?
Answer: GCF of Numerators as per given numbers 6488/807, 4852/9160 is
GCF of Numerators i.e. for 6488,4852 is 4
LCM of denominators i.e. for 807,9160 is 7392120.
Thus, GCF of Fractions is 4/7392120.Finally, GCF of Fractions for 6488/807, 4852/9160 is 4/7392120.