Use our free GCF of Fractions Calculator tool to compute the GCF of 8495/623, 2634/7321 i.e 1/4560983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8495/623, 2634/7321.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8495/623,2634/7321
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 8495/623,2634/7321, numerators are 8495,2634
Denominators are 623,7321
The GCF of 8495,2634 is 1 .
LCM of 623,7321 is 4560983.
The greatest common factor of 8495/623,2634/7321 = [GCF of 8495,2634]/[LCM of 623,7321]= 1/4560983
Therefore, the GCF of 8495/623,2634/7321 is 1/4560983.
To find the highest common factor of 8495,2634, we have to find the factors of both numbers and list the highest common factor.
The factors of 8495 are 1, 5, 1699, 8495
The factors of 2634 are 1, 2, 3, 6, 439, 878, 1317, 2634
The HCF of 8495,2634 is 1.
Lets's calculate GCF of 8495,2634
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8495
:1,5,1699,8495
Now, list down the factors of 2634
:1,2,3,6,439,878,1317,2634
Greatest Common Factor
We found the factors 8495,2634 . The biggest common factor number is the GCF number.
So the greatest common factor 8495,2634 is 1.
Lets's calculate LCM of 623,7321
Given numbers has no common factors except 1. So, there LCM is their product i.e 4560983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4560983
Therefore, the GCF of Fractions 8495/623,2634/7321 is 1/4560983
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 623,7321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,7321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,7321) x common factors =1 x 1 = 1
LCM(623,7321) = ( 623 × 7321 ) / 1
LCM(623,7321) = 4560983 / 1
LCM(623,7321) = 4560983
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8495,2634?
The HCF of 8495,2634 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 8495/623, 2634/7321?
Answer: GCF of Numerators as per given numbers 8495/623, 2634/7321 is
GCF of Numerators i.e. for 8495,2634 is 1
LCM of denominators i.e. for 623,7321 is 4560983.
Thus, GCF of Fractions is 1/4560983.Finally, GCF of Fractions for 8495/623, 2634/7321 is 1/4560983.