GCF of 6895/705, 8102/8346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6895/705, 8102/8346 i.e 1/1961310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6895/705, 8102/8346.
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 6895/705,8102/8346?
Given fractions are 6895/705,8102/8346
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 6895/705,8102/8346, numerators are 6895,8102
Denominators are 705,8346
The GCF of 6895,8102 is 1 .
LCM of 705,8346 is 1961310.
The greatest common factor of 6895/705,8102/8346 = [GCF of 6895,8102]/[LCM of 705,8346]= 1/1961310
Therefore, the GCF of 6895/705,8102/8346 is 1/1961310.
To find the highest common factor of 6895,8102, we have to find the factors of both numbers and list the highest common factor.
The factors of 6895 are 1, 5, 7, 35, 197, 985, 1379, 6895
The factors of 8102 are 1, 2, 4051, 8102
The HCF of 6895,8102 is 1.
Lets's calculate GCF of 6895,8102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6895,8102 By Matching Biggest Common Factor Method
Now, list down the factors of 6895
:1,5,7,35,197,985,1379,6895
Now, list down the factors of 8102
:1,2,4051,8102
Greatest Common Factor
We found the factors 6895,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 6895,8102 is 1.
Lets's calculate LCM of 705,8346
| 3 | 705, 8346 |
| 235, 2782 |
∴ So the LCM of the given numbers is 3 x 235 x 2782 = 1961310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1961310
Therefore, the GCF of Fractions 6895/705,8102/8346 is 1/1961310
Least Common Multiple of 705,8346 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 705,8346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,8346) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,8346) x common factors =3 x 1 = 3
LCM(705,8346) = ( 705 × 8346 ) / 3
LCM(705,8346) = 5883930 / 3
LCM(705,8346) = 1961310
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6895/705, 8102/8346
1. What is the HCF of 6895,8102?
The HCF of 6895,8102 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 6895/705, 8102/8346?
Answer: GCF of Numerators as per given numbers 6895/705, 8102/8346 is
GCF of Numerators i.e. for 6895,8102 is 1
LCM of denominators i.e. for 705,8346 is 1961310.
Thus, GCF of Fractions is 1/1961310.Finally, GCF of Fractions for 6895/705, 8102/8346 is 1/1961310.