Use our free GCF of Fractions Calculator tool to compute the GCF of 837/620, 752/628 i.e 1/97340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 837/620, 752/628.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 837/620,752/628
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 837/620,752/628, numerators are 837,752
Denominators are 620,628
The GCF of 837,752 is 1 .
LCM of 620,628 is 97340.
The greatest common factor of 837/620,752/628 = [GCF of 837,752]/[LCM of 620,628]= 1/97340
Therefore, the GCF of 837/620,752/628 is 1/97340.
To find the highest common factor of 837,752, we have to find the factors of both numbers and list the highest common factor.
The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 837,752 is 1.
Lets's calculate GCF of 837,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 837
:1,3,9,27,31,93,279,837
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 837,752 . The biggest common factor number is the GCF number.
So the greatest common factor 837,752 is 1.
Lets's calculate LCM of 620,628
2 | 620, 628 |
2 | 310, 314 |
155, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 155 x 157 = 97340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97340
Therefore, the GCF of Fractions 837/620,752/628 is 1/97340
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 620,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(620,628) x common factors =4 x 1 = 4
LCM(620,628) = ( 620 × 628 ) / 4
LCM(620,628) = 389360 / 4
LCM(620,628) = 97340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 837,752?
The HCF of 837,752 is 1
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 837/620, 752/628?
Answer: GCF of Numerators as per given numbers 837/620, 752/628 is
GCF of Numerators i.e. for 837,752 is 1
LCM of denominators i.e. for 620,628 is 97340.
Thus, GCF of Fractions is 1/97340.Finally, GCF of Fractions for 837/620, 752/628 is 1/97340.