GCF of 1087/898, 8175/936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1087/898, 8175/936 i.e 1/420264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1087/898, 8175/936.
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 1087/898,8175/936?
Given fractions are 1087/898,8175/936
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 1087/898,8175/936, numerators are 1087,8175
Denominators are 898,936
The GCF of 1087,8175 is 1 .
LCM of 898,936 is 420264.
The greatest common factor of 1087/898,8175/936 = [GCF of 1087,8175]/[LCM of 898,936]= 1/420264
Therefore, the GCF of 1087/898,8175/936 is 1/420264.
To find the highest common factor of 1087,8175, we have to find the factors of both numbers and list the highest common factor.
The factors of 1087 are 1, 1087
The factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175
The HCF of 1087,8175 is 1.
Lets's calculate GCF of 1087,8175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1087,8175 By Matching Biggest Common Factor Method
Now, list down the factors of 1087
:1,1087
Now, list down the factors of 8175
:1,3,5,15,25,75,109,327,545,1635,2725,8175
Greatest Common Factor
We found the factors 1087,8175 . The biggest common factor number is the GCF number.
So the greatest common factor 1087,8175 is 1.
Lets's calculate LCM of 898,936
| 2 | 898, 936 |
| 449, 468 |
∴ So the LCM of the given numbers is 2 x 449 x 468 = 420264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420264
Therefore, the GCF of Fractions 1087/898,8175/936 is 1/420264
Least Common Multiple of 898,936 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 898,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,936) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,936) x common factors =2 x 1 = 2
LCM(898,936) = ( 898 × 936 ) / 2
LCM(898,936) = 840528 / 2
LCM(898,936) = 420264
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1087/898, 8175/936
1. What is the HCF of 1087,8175?
The HCF of 1087,8175 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 1087/898, 8175/936?
Answer: GCF of Numerators as per given numbers 1087/898, 8175/936 is
GCF of Numerators i.e. for 1087,8175 is 1
LCM of denominators i.e. for 898,936 is 420264.
Thus, GCF of Fractions is 1/420264.Finally, GCF of Fractions for 1087/898, 8175/936 is 1/420264.