Use our free GCF of Fractions Calculator tool to compute the GCF of 22/39, 510/78, 853/402 i.e 1/5226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/39, 510/78, 853/402.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/39,510/78,853/402
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 22/39,510/78,853/402, numerators are 22,510,853
Denominators are 39,78,402
The GCF of 22,510,853 is 1 .
LCM of 39,78,402 is 5226.
The greatest common factor of 22/39,510/78,853/402 = [GCF of 22,510,853]/[LCM of 39,78,402]= 1/5226
Therefore, the GCF of 22/39,510/78,853/402 is 1/5226.
To find the highest common factor of 22,510,853, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The factors of 853 are 1, 853
The HCF of 22,510,853 is 1.
Lets's calculate GCF of 22,510,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Now, list down the factors of 853
:1,853
Greatest Common Factor
We found the factors 22,510,853 . The biggest common factor number is the GCF number.
So the greatest common factor 22,510,853 is 1.
Lets's calculate LCM of 39,78,402
2 | 39, 78, 402 |
3 | 39, 39, 201 |
13 | 13, 13, 67 |
1, 1, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 67 = 5226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5226
Therefore, the GCF of Fractions 22/39,510/78,853/402 is 1/5226
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 39,78,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,78,402) = 3
common factors(in case of two or more numbers have common factors) = 78
GCF(39,78,402) x common factors =3 x 78 = 234
LCM(39,78,402) = ( 39 × 78 × 402 ) / 234
LCM(39,78,402) = 1222884 / 234
LCM(39,78,402) = 5226
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,510,853?
The HCF of 22,510,853 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 22/39, 510/78, 853/402?
Answer: GCF of Numerators as per given numbers 22/39, 510/78, 853/402 is
GCF of Numerators i.e. for 22,510,853 is 1
LCM of denominators i.e. for 39,78,402 is 5226.
Thus, GCF of Fractions is 1/5226.Finally, GCF of Fractions for 22/39, 510/78, 853/402 is 1/5226.