Use our free GCF of Fractions Calculator tool to compute the GCF of 692/875, 562/798 i.e 2/99750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 692/875, 562/798.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 692/875,562/798
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 692/875,562/798, numerators are 692,562
Denominators are 875,798
The GCF of 692,562 is 2 .
LCM of 875,798 is 99750.
The greatest common factor of 692/875,562/798 = [GCF of 692,562]/[LCM of 875,798]= 2/99750
Therefore, the GCF of 692/875,562/798 is 2/99750.
To find the highest common factor of 692,562, we have to find the factors of both numbers and list the highest common factor.
The factors of 692 are 1, 2, 4, 173, 346, 692
The factors of 562 are 1, 2, 281, 562
The HCF of 692,562 is 2.
Lets's calculate GCF of 692,562
2 | 692, 562 |
346, 281 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 692
:1,2,4,173,346,692
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 692,562 . The biggest common factor number is the GCF number.
So the greatest common factor 692,562 is 2.
Lets's calculate LCM of 875,798
7 | 875, 798 |
125, 114 |
∴ So the LCM of the given numbers is 7 x 125 x 114 = 99750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99750
Therefore, the GCF of Fractions 692/875,562/798 is 2/99750
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 875,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,798) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(875,798) x common factors =7 x 1 = 7
LCM(875,798) = ( 875 × 798 ) / 7
LCM(875,798) = 698250 / 7
LCM(875,798) = 99750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 692,562?
The HCF of 692,562 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 692/875, 562/798?
Answer: GCF of Numerators as per given numbers 692/875, 562/798 is
GCF of Numerators i.e. for 692,562 is 2
LCM of denominators i.e. for 875,798 is 99750.
Thus, GCF of Fractions is 2/99750.Finally, GCF of Fractions for 692/875, 562/798 is 2/99750.