Use our free GCF of Fractions Calculator tool to compute the GCF of 804/676, 778/751 i.e 2/507676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 804/676, 778/751.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 804/676,778/751
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 804/676,778/751, numerators are 804,778
Denominators are 676,751
The GCF of 804,778 is 2 .
LCM of 676,751 is 507676.
The greatest common factor of 804/676,778/751 = [GCF of 804,778]/[LCM of 676,751]= 2/507676
Therefore, the GCF of 804/676,778/751 is 2/507676.
To find the highest common factor of 804,778, we have to find the factors of both numbers and list the highest common factor.
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
The factors of 778 are 1, 2, 389, 778
The HCF of 804,778 is 2.
Lets's calculate GCF of 804,778
2 | 804, 778 |
402, 389 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 804
:1,2,3,4,6,12,67,134,201,268,402,804
Now, list down the factors of 778
:1,2,389,778
Greatest Common Factor
We found the factors 804,778 . The biggest common factor number is the GCF number.
So the greatest common factor 804,778 is 2.
Lets's calculate LCM of 676,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 507676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/507676
Therefore, the GCF of Fractions 804/676,778/751 is 2/507676
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 676,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,751) x common factors =1 x 1 = 1
LCM(676,751) = ( 676 × 751 ) / 1
LCM(676,751) = 507676 / 1
LCM(676,751) = 507676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 804,778?
The HCF of 804,778 is 2
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 804/676, 778/751?
Answer: GCF of Numerators as per given numbers 804/676, 778/751 is
GCF of Numerators i.e. for 804,778 is 2
LCM of denominators i.e. for 676,751 is 507676.
Thus, GCF of Fractions is 2/507676.Finally, GCF of Fractions for 804/676, 778/751 is 2/507676.