GCF of 7945/483, 6862/8967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7945/483, 6862/8967 i.e 1/206241 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7945/483, 6862/8967.
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 7945/483,6862/8967?
Given fractions are 7945/483,6862/8967
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 7945/483,6862/8967, numerators are 7945,6862
Denominators are 483,8967
The GCF of 7945,6862 is 1 .
LCM of 483,8967 is 206241.
The greatest common factor of 7945/483,6862/8967 = [GCF of 7945,6862]/[LCM of 483,8967]= 1/206241
Therefore, the GCF of 7945/483,6862/8967 is 1/206241.
To find the highest common factor of 7945,6862, we have to find the factors of both numbers and list the highest common factor.
The factors of 7945 are 1, 5, 7, 35, 227, 1135, 1589, 7945
The factors of 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862
The HCF of 7945,6862 is 1.
Lets's calculate GCF of 7945,6862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7945,6862 By Matching Biggest Common Factor Method
Now, list down the factors of 7945
:1,5,7,35,227,1135,1589,7945
Now, list down the factors of 6862
:1,2,47,73,94,146,3431,6862
Greatest Common Factor
We found the factors 7945,6862 . The biggest common factor number is the GCF number.
So the greatest common factor 7945,6862 is 1.
Lets's calculate LCM of 483,8967
| 3 | 483, 8967 |
| 7 | 161, 2989 |
| 23, 427 |
∴ So the LCM of the given numbers is 3 x 7 x 23 x 427 = 206241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206241
Therefore, the GCF of Fractions 7945/483,6862/8967 is 1/206241
Least Common Multiple of 483,8967 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 483,8967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,8967) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(483,8967) x common factors =21 x 1 = 21
LCM(483,8967) = ( 483 × 8967 ) / 21
LCM(483,8967) = 4331061 / 21
LCM(483,8967) = 206241
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7945/483, 6862/8967
1. What is the HCF of 7945,6862?
The HCF of 7945,6862 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 7945/483, 6862/8967?
Answer: GCF of Numerators as per given numbers 7945/483, 6862/8967 is
GCF of Numerators i.e. for 7945,6862 is 1
LCM of denominators i.e. for 483,8967 is 206241.
Thus, GCF of Fractions is 1/206241.Finally, GCF of Fractions for 7945/483, 6862/8967 is 1/206241.