Use our free GCF of Fractions Calculator tool to compute the GCF of 771/653, 696/122 i.e 3/79666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 771/653, 696/122.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 771/653,696/122
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 771/653,696/122, numerators are 771,696
Denominators are 653,122
The GCF of 771,696 is 3 .
LCM of 653,122 is 79666.
The greatest common factor of 771/653,696/122 = [GCF of 771,696]/[LCM of 653,122]= 3/79666
Therefore, the GCF of 771/653,696/122 is 3/79666.
To find the highest common factor of 771,696, we have to find the factors of both numbers and list the highest common factor.
The factors of 771 are 1, 3, 257, 771
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The HCF of 771,696 is 3.
Lets's calculate GCF of 771,696
3 | 771, 696 |
257, 232 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 771
:1,3,257,771
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 771,696 . The biggest common factor number is the GCF number.
So the greatest common factor 771,696 is 3.
Lets's calculate LCM of 653,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 79666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/79666
Therefore, the GCF of Fractions 771/653,696/122 is 3/79666
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 653,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,122) x common factors =1 x 1 = 1
LCM(653,122) = ( 653 × 122 ) / 1
LCM(653,122) = 79666 / 1
LCM(653,122) = 79666
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 771,696?
The HCF of 771,696 is 3
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 771/653, 696/122?
Answer: GCF of Numerators as per given numbers 771/653, 696/122 is
GCF of Numerators i.e. for 771,696 is 3
LCM of denominators i.e. for 653,122 is 79666.
Thus, GCF of Fractions is 3/79666.Finally, GCF of Fractions for 771/653, 696/122 is 3/79666.