Use our free GCF of Fractions Calculator tool to compute the GCF of 55/46, 780/89, 520/853 i.e 5/3492182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/46, 780/89, 520/853.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/46,780/89,520/853
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 55/46,780/89,520/853, numerators are 55,780,520
Denominators are 46,89,853
The GCF of 55,780,520 is 5 .
LCM of 46,89,853 is 3492182.
The greatest common factor of 55/46,780/89,520/853 = [GCF of 55,780,520]/[LCM of 46,89,853]= 5/3492182
Therefore, the GCF of 55/46,780/89,520/853 is 5/3492182.
To find the highest common factor of 55,780,520, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The HCF of 55,780,520 is 5.
Lets's calculate GCF of 55,780,520
5 | 55, 780, 520 |
11, 156, 104 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 55,780,520 . The biggest common factor number is the GCF number.
So the greatest common factor 55,780,520 is 5.
Lets's calculate LCM of 46,89,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 3492182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3492182
Therefore, the GCF of Fractions 55/46,780/89,520/853 is 5/3492182
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 46,89,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,89,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,89,853) x common factors =1 x 1 = 1
LCM(46,89,853) = ( 46 × 89 × 853 ) / 1
LCM(46,89,853) = 3492182 / 1
LCM(46,89,853) = 3492182
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,780,520?
The HCF of 55,780,520 is 5
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 55/46, 780/89, 520/853?
Answer: GCF of Numerators as per given numbers 55/46, 780/89, 520/853 is
GCF of Numerators i.e. for 55,780,520 is 5
LCM of denominators i.e. for 46,89,853 is 3492182.
Thus, GCF of Fractions is 5/3492182.Finally, GCF of Fractions for 55/46, 780/89, 520/853 is 5/3492182.