Use our free GCF of Fractions Calculator tool to compute the GCF of 924/686, 142/561 i.e 2/384846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/686, 142/561.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/686,142/561
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 924/686,142/561, numerators are 924,142
Denominators are 686,561
The GCF of 924,142 is 2 .
LCM of 686,561 is 384846.
The greatest common factor of 924/686,142/561 = [GCF of 924,142]/[LCM of 686,561]= 2/384846
Therefore, the GCF of 924/686,142/561 is 2/384846.
To find the highest common factor of 924,142, we have to find the factors of both numbers and list the highest common factor.
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 142 are 1, 2, 71, 142
The HCF of 924,142 is 2.
Lets's calculate GCF of 924,142
2 | 924, 142 |
462, 71 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 142
:1,2,71,142
Greatest Common Factor
We found the factors 924,142 . The biggest common factor number is the GCF number.
So the greatest common factor 924,142 is 2.
Lets's calculate LCM of 686,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 384846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/384846
Therefore, the GCF of Fractions 924/686,142/561 is 2/384846
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 686,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,561) x common factors =1 x 1 = 1
LCM(686,561) = ( 686 × 561 ) / 1
LCM(686,561) = 384846 / 1
LCM(686,561) = 384846
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 924,142?
The HCF of 924,142 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 924/686, 142/561?
Answer: GCF of Numerators as per given numbers 924/686, 142/561 is
GCF of Numerators i.e. for 924,142 is 2
LCM of denominators i.e. for 686,561 is 384846.
Thus, GCF of Fractions is 2/384846.Finally, GCF of Fractions for 924/686, 142/561 is 2/384846.