Use our free GCF of Fractions Calculator tool to compute the GCF of 7138/688, 4495/4709 i.e 1/3239792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7138/688, 4495/4709.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7138/688,4495/4709
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 7138/688,4495/4709, numerators are 7138,4495
Denominators are 688,4709
The GCF of 7138,4495 is 1 .
LCM of 688,4709 is 3239792.
The greatest common factor of 7138/688,4495/4709 = [GCF of 7138,4495]/[LCM of 688,4709]= 1/3239792
Therefore, the GCF of 7138/688,4495/4709 is 1/3239792.
To find the highest common factor of 7138,4495, we have to find the factors of both numbers and list the highest common factor.
The factors of 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138
The factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495
The HCF of 7138,4495 is 1.
Lets's calculate GCF of 7138,4495
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7138
:1,2,43,83,86,166,3569,7138
Now, list down the factors of 4495
:1,5,29,31,145,155,899,4495
Greatest Common Factor
We found the factors 7138,4495 . The biggest common factor number is the GCF number.
So the greatest common factor 7138,4495 is 1.
Lets's calculate LCM of 688,4709
Given numbers has no common factors except 1. So, there LCM is their product i.e 3239792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3239792
Therefore, the GCF of Fractions 7138/688,4495/4709 is 1/3239792
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 688,4709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,4709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,4709) x common factors =1 x 1 = 1
LCM(688,4709) = ( 688 × 4709 ) / 1
LCM(688,4709) = 3239792 / 1
LCM(688,4709) = 3239792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7138,4495?
The HCF of 7138,4495 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 7138/688, 4495/4709?
Answer: GCF of Numerators as per given numbers 7138/688, 4495/4709 is
GCF of Numerators i.e. for 7138,4495 is 1
LCM of denominators i.e. for 688,4709 is 3239792.
Thus, GCF of Fractions is 1/3239792.Finally, GCF of Fractions for 7138/688, 4495/4709 is 1/3239792.