Use our free GCF of Fractions Calculator tool to compute the GCF of 69/797, 49/153 i.e 1/121941 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/797, 49/153.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/797,49/153
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 69/797,49/153, numerators are 69,49
Denominators are 797,153
The GCF of 69,49 is 1 .
LCM of 797,153 is 121941.
The greatest common factor of 69/797,49/153 = [GCF of 69,49]/[LCM of 797,153]= 1/121941
Therefore, the GCF of 69/797,49/153 is 1/121941.
To find the highest common factor of 69,49, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 49 are 1, 7, 49
The HCF of 69,49 is 1.
Lets's calculate GCF of 69,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 797,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 121941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121941
Therefore, the GCF of Fractions 69/797,49/153 is 1/121941
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 797,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,153) x common factors =1 x 1 = 1
LCM(797,153) = ( 797 × 153 ) / 1
LCM(797,153) = 121941 / 1
LCM(797,153) = 121941
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,49?
The HCF of 69,49 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 69/797, 49/153?
Answer: GCF of Numerators as per given numbers 69/797, 49/153 is
GCF of Numerators i.e. for 69,49 is 1
LCM of denominators i.e. for 797,153 is 121941.
Thus, GCF of Fractions is 1/121941.Finally, GCF of Fractions for 69/797, 49/153 is 1/121941.