Use our free GCF of Fractions Calculator tool to compute the GCF of 962/672, 822/340 i.e 2/57120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/672, 822/340.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/672,822/340
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 962/672,822/340, numerators are 962,822
Denominators are 672,340
The GCF of 962,822 is 2 .
LCM of 672,340 is 57120.
The greatest common factor of 962/672,822/340 = [GCF of 962,822]/[LCM of 672,340]= 2/57120
Therefore, the GCF of 962/672,822/340 is 2/57120.
To find the highest common factor of 962,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 962,822 is 2.
Lets's calculate GCF of 962,822
2 | 962, 822 |
481, 411 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 962,822 . The biggest common factor number is the GCF number.
So the greatest common factor 962,822 is 2.
Lets's calculate LCM of 672,340
2 | 672, 340 |
2 | 336, 170 |
168, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 168 x 85 = 57120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57120
Therefore, the GCF of Fractions 962/672,822/340 is 2/57120
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 672,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,340) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(672,340) x common factors =4 x 1 = 4
LCM(672,340) = ( 672 × 340 ) / 4
LCM(672,340) = 228480 / 4
LCM(672,340) = 57120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 962,822?
The HCF of 962,822 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 962/672, 822/340?
Answer: GCF of Numerators as per given numbers 962/672, 822/340 is
GCF of Numerators i.e. for 962,822 is 2
LCM of denominators i.e. for 672,340 is 57120.
Thus, GCF of Fractions is 2/57120.Finally, GCF of Fractions for 962/672, 822/340 is 2/57120.