Use our free GCF of Fractions Calculator tool to compute the GCF of 712/616, 532/753 i.e 4/463848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 712/616, 532/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 712/616,532/753
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 712/616,532/753, numerators are 712,532
Denominators are 616,753
The GCF of 712,532 is 4 .
LCM of 616,753 is 463848.
The greatest common factor of 712/616,532/753 = [GCF of 712,532]/[LCM of 616,753]= 4/463848
Therefore, the GCF of 712/616,532/753 is 4/463848.
To find the highest common factor of 712,532, we have to find the factors of both numbers and list the highest common factor.
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The HCF of 712,532 is 4.
Lets's calculate GCF of 712,532
2 | 712, 532 |
2 | 356, 266 |
178, 133 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 712,532 . The biggest common factor number is the GCF number.
So the greatest common factor 712,532 is 4.
Lets's calculate LCM of 616,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 463848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/463848
Therefore, the GCF of Fractions 712/616,532/753 is 4/463848
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 616,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(616,753) x common factors =1 x 1 = 1
LCM(616,753) = ( 616 × 753 ) / 1
LCM(616,753) = 463848 / 1
LCM(616,753) = 463848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 712,532?
The HCF of 712,532 is 4
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 712/616, 532/753?
Answer: GCF of Numerators as per given numbers 712/616, 532/753 is
GCF of Numerators i.e. for 712,532 is 4
LCM of denominators i.e. for 616,753 is 463848.
Thus, GCF of Fractions is 4/463848.Finally, GCF of Fractions for 712/616, 532/753 is 4/463848.