Use our free GCF of Fractions Calculator tool to compute the GCF of 920/961, 698/222 i.e 2/213342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/961, 698/222.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/961,698/222
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 920/961,698/222, numerators are 920,698
Denominators are 961,222
The GCF of 920,698 is 2 .
LCM of 961,222 is 213342.
The greatest common factor of 920/961,698/222 = [GCF of 920,698]/[LCM of 961,222]= 2/213342
Therefore, the GCF of 920/961,698/222 is 2/213342.
To find the highest common factor of 920,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The factors of 698 are 1, 2, 349, 698
The HCF of 920,698 is 2.
Lets's calculate GCF of 920,698
2 | 920, 698 |
460, 349 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 920,698 . The biggest common factor number is the GCF number.
So the greatest common factor 920,698 is 2.
Lets's calculate LCM of 961,222
Given numbers has no common factors except 1. So, there LCM is their product i.e 213342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/213342
Therefore, the GCF of Fractions 920/961,698/222 is 2/213342
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 961,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,222) x common factors =1 x 1 = 1
LCM(961,222) = ( 961 × 222 ) / 1
LCM(961,222) = 213342 / 1
LCM(961,222) = 213342
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 920,698?
The HCF of 920,698 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 920/961, 698/222?
Answer: GCF of Numerators as per given numbers 920/961, 698/222 is
GCF of Numerators i.e. for 920,698 is 2
LCM of denominators i.e. for 961,222 is 213342.
Thus, GCF of Fractions is 2/213342.Finally, GCF of Fractions for 920/961, 698/222 is 2/213342.