GCF of 8786/626, 6175/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8786/626, 6175/896 i.e 1/280448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8786/626, 6175/896.
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 8786/626,6175/896?
Given fractions are 8786/626,6175/896
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 8786/626,6175/896, numerators are 8786,6175
Denominators are 626,896
The GCF of 8786,6175 is 1 .
LCM of 626,896 is 280448.
The greatest common factor of 8786/626,6175/896 = [GCF of 8786,6175]/[LCM of 626,896]= 1/280448
Therefore, the GCF of 8786/626,6175/896 is 1/280448.
To find the highest common factor of 8786,6175, we have to find the factors of both numbers and list the highest common factor.
The factors of 8786 are 1, 2, 23, 46, 191, 382, 4393, 8786
The factors of 6175 are 1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235, 6175
The HCF of 8786,6175 is 1.
Lets's calculate GCF of 8786,6175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8786,6175 By Matching Biggest Common Factor Method
Now, list down the factors of 8786
:1,2,23,46,191,382,4393,8786
Now, list down the factors of 6175
:1,5,13,19,25,65,95,247,325,475,1235,6175
Greatest Common Factor
We found the factors 8786,6175 . The biggest common factor number is the GCF number.
So the greatest common factor 8786,6175 is 1.
Lets's calculate LCM of 626,896
| 2 | 626, 896 |
| 313, 448 |
∴ So the LCM of the given numbers is 2 x 313 x 448 = 280448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280448
Therefore, the GCF of Fractions 8786/626,6175/896 is 1/280448
Least Common Multiple of 626,896 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 626,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,896) x common factors =2 x 1 = 2
LCM(626,896) = ( 626 × 896 ) / 2
LCM(626,896) = 560896 / 2
LCM(626,896) = 280448
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8786/626, 6175/896
1. What is the HCF of 8786,6175?
The HCF of 8786,6175 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 8786/626, 6175/896?
Answer: GCF of Numerators as per given numbers 8786/626, 6175/896 is
GCF of Numerators i.e. for 8786,6175 is 1
LCM of denominators i.e. for 626,896 is 280448.
Thus, GCF of Fractions is 1/280448.Finally, GCF of Fractions for 8786/626, 6175/896 is 1/280448.