GCF of 8810/848, 9737/6488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8810/848, 9737/6488 i.e 1/687728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8810/848, 9737/6488.
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 8810/848,9737/6488?
Given fractions are 8810/848,9737/6488
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 8810/848,9737/6488, numerators are 8810,9737
Denominators are 848,6488
The GCF of 8810,9737 is 1 .
LCM of 848,6488 is 687728.
The greatest common factor of 8810/848,9737/6488 = [GCF of 8810,9737]/[LCM of 848,6488]= 1/687728
Therefore, the GCF of 8810/848,9737/6488 is 1/687728.
To find the highest common factor of 8810,9737, we have to find the factors of both numbers and list the highest common factor.
The factors of 8810 are 1, 2, 5, 10, 881, 1762, 4405, 8810
The factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737
The HCF of 8810,9737 is 1.
Lets's calculate GCF of 8810,9737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8810,9737 By Matching Biggest Common Factor Method
Now, list down the factors of 8810
:1,2,5,10,881,1762,4405,8810
Now, list down the factors of 9737
:1,7,13,91,107,749,1391,9737
Greatest Common Factor
We found the factors 8810,9737 . The biggest common factor number is the GCF number.
So the greatest common factor 8810,9737 is 1.
Lets's calculate LCM of 848,6488
| 2 | 848, 6488 |
| 2 | 424, 3244 |
| 2 | 212, 1622 |
| 106, 811 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 106 x 811 = 687728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/687728
Therefore, the GCF of Fractions 8810/848,9737/6488 is 1/687728
Least Common Multiple of 848,6488 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 848,6488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,6488) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(848,6488) x common factors =8 x 1 = 8
LCM(848,6488) = ( 848 × 6488 ) / 8
LCM(848,6488) = 5501824 / 8
LCM(848,6488) = 687728
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8810/848, 9737/6488
1. What is the HCF of 8810,9737?
The HCF of 8810,9737 is 1
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 8810/848, 9737/6488?
Answer: GCF of Numerators as per given numbers 8810/848, 9737/6488 is
GCF of Numerators i.e. for 8810,9737 is 1
LCM of denominators i.e. for 848,6488 is 687728.
Thus, GCF of Fractions is 1/687728.Finally, GCF of Fractions for 8810/848, 9737/6488 is 1/687728.