Use our free GCF of Fractions Calculator tool to compute the GCF of 624/642, 860/421 i.e 4/270282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 624/642, 860/421.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/642,860/421
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 624/642,860/421, numerators are 624,860
Denominators are 642,421
The GCF of 624,860 is 4 .
LCM of 642,421 is 270282.
The greatest common factor of 624/642,860/421 = [GCF of 624,860]/[LCM of 642,421]= 4/270282
Therefore, the GCF of 624/642,860/421 is 4/270282.
To find the highest common factor of 624,860, we have to find the factors of both numbers and list the highest common factor.
The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The HCF of 624,860 is 4.
Lets's calculate GCF of 624,860
2 | 624, 860 |
2 | 312, 430 |
156, 215 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 624
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 624,860 . The biggest common factor number is the GCF number.
So the greatest common factor 624,860 is 4.
Lets's calculate LCM of 642,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 270282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/270282
Therefore, the GCF of Fractions 624/642,860/421 is 4/270282
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 642,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,421) x common factors =1 x 1 = 1
LCM(642,421) = ( 642 × 421 ) / 1
LCM(642,421) = 270282 / 1
LCM(642,421) = 270282
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 624,860?
The HCF of 624,860 is 4
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 624/642, 860/421?
Answer: GCF of Numerators as per given numbers 624/642, 860/421 is
GCF of Numerators i.e. for 624,860 is 4
LCM of denominators i.e. for 642,421 is 270282.
Thus, GCF of Fractions is 4/270282.Finally, GCF of Fractions for 624/642, 860/421 is 4/270282.