Use our free GCF of Fractions Calculator tool to compute the GCF of 302/692, 564/251 i.e 2/173692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 302/692, 564/251.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 302/692,564/251
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 302/692,564/251, numerators are 302,564
Denominators are 692,251
The GCF of 302,564 is 2 .
LCM of 692,251 is 173692.
The greatest common factor of 302/692,564/251 = [GCF of 302,564]/[LCM of 692,251]= 2/173692
Therefore, the GCF of 302/692,564/251 is 2/173692.
To find the highest common factor of 302,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 302 are 1, 2, 151, 302
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 302,564 is 2.
Lets's calculate GCF of 302,564
2 | 302, 564 |
151, 282 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 302
:1,2,151,302
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 302,564 . The biggest common factor number is the GCF number.
So the greatest common factor 302,564 is 2.
Lets's calculate LCM of 692,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 173692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173692
Therefore, the GCF of Fractions 302/692,564/251 is 2/173692
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 692,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,251) x common factors =1 x 1 = 1
LCM(692,251) = ( 692 × 251 ) / 1
LCM(692,251) = 173692 / 1
LCM(692,251) = 173692
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 302,564?
The HCF of 302,564 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 302/692, 564/251?
Answer: GCF of Numerators as per given numbers 302/692, 564/251 is
GCF of Numerators i.e. for 302,564 is 2
LCM of denominators i.e. for 692,251 is 173692.
Thus, GCF of Fractions is 2/173692.Finally, GCF of Fractions for 302/692, 564/251 is 2/173692.