Use our free GCF of Fractions Calculator tool to compute the GCF of 78/44, 634/61, 548/359 i.e 2/963556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/44, 634/61, 548/359.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/44,634/61,548/359
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 78/44,634/61,548/359, numerators are 78,634,548
Denominators are 44,61,359
The GCF of 78,634,548 is 2 .
LCM of 44,61,359 is 963556.
The greatest common factor of 78/44,634/61,548/359 = [GCF of 78,634,548]/[LCM of 44,61,359]= 2/963556
Therefore, the GCF of 78/44,634/61,548/359 is 2/963556.
To find the highest common factor of 78,634,548, we have to find the factors of both numbers and list the highest common factor.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 634 are 1, 2, 317, 634
The factors of 548 are 1, 2, 4, 137, 274, 548
The HCF of 78,634,548 is 2.
Lets's calculate GCF of 78,634,548
2 | 78, 634, 548 |
39, 317, 274 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 634
:1,2,317,634
Now, list down the factors of 548
:1,2,4,137,274,548
Greatest Common Factor
We found the factors 78,634,548 . The biggest common factor number is the GCF number.
So the greatest common factor 78,634,548 is 2.
Lets's calculate LCM of 44,61,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 963556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/963556
Therefore, the GCF of Fractions 78/44,634/61,548/359 is 2/963556
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 44,61,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,61,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,61,359) x common factors =1 x 1 = 1
LCM(44,61,359) = ( 44 × 61 × 359 ) / 1
LCM(44,61,359) = 963556 / 1
LCM(44,61,359) = 963556
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 78,634,548?
The HCF of 78,634,548 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 78/44, 634/61, 548/359?
Answer: GCF of Numerators as per given numbers 78/44, 634/61, 548/359 is
GCF of Numerators i.e. for 78,634,548 is 2
LCM of denominators i.e. for 44,61,359 is 963556.
Thus, GCF of Fractions is 2/963556.Finally, GCF of Fractions for 78/44, 634/61, 548/359 is 2/963556.