Use our free GCF of Fractions Calculator tool to compute the GCF of 924/865, 210/759 i.e 42/656535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/865, 210/759.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/865,210/759
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 924/865,210/759, numerators are 924,210
Denominators are 865,759
The GCF of 924,210 is 42 .
LCM of 865,759 is 656535.
The greatest common factor of 924/865,210/759 = [GCF of 924,210]/[LCM of 865,759]= 42/656535
Therefore, the GCF of 924/865,210/759 is 42/656535.
To find the highest common factor of 924,210, 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 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 924,210 is 42.
Lets's calculate GCF of 924,210
2 | 924, 210 |
3 | 462, 105 |
7 | 154, 35 |
22, 5 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
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 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 924,210 . The biggest common factor number is the GCF number.
So the greatest common factor 924,210 is 42.
Lets's calculate LCM of 865,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 656535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/656535
Therefore, the GCF of Fractions 924/865,210/759 is 42/656535
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 865,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,759) x common factors =1 x 1 = 1
LCM(865,759) = ( 865 × 759 ) / 1
LCM(865,759) = 656535 / 1
LCM(865,759) = 656535
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 924,210?
The HCF of 924,210 is 42
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 924/865, 210/759?
Answer: GCF of Numerators as per given numbers 924/865, 210/759 is
GCF of Numerators i.e. for 924,210 is 42
LCM of denominators i.e. for 865,759 is 656535.
Thus, GCF of Fractions is 42/656535.Finally, GCF of Fractions for 924/865, 210/759 is 42/656535.