Use our free GCF of Fractions Calculator tool to compute the GCF of 770/160, 528/834 i.e 22/66720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/160, 528/834.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/160,528/834
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 770/160,528/834, numerators are 770,528
Denominators are 160,834
The GCF of 770,528 is 22 .
LCM of 160,834 is 66720.
The greatest common factor of 770/160,528/834 = [GCF of 770,528]/[LCM of 160,834]= 22/66720
Therefore, the GCF of 770/160,528/834 is 22/66720.
To find the highest common factor of 770,528, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The HCF of 770,528 is 22.
Lets's calculate GCF of 770,528
2 | 770, 528 |
11 | 385, 264 |
35, 24 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 770,528 . The biggest common factor number is the GCF number.
So the greatest common factor 770,528 is 22.
Lets's calculate LCM of 160,834
2 | 160, 834 |
80, 417 |
∴ So the LCM of the given numbers is 2 x 80 x 417 = 66720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/66720
Therefore, the GCF of Fractions 770/160,528/834 is 22/66720
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 160,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(160,834) x common factors =2 x 1 = 2
LCM(160,834) = ( 160 × 834 ) / 2
LCM(160,834) = 133440 / 2
LCM(160,834) = 66720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 770,528?
The HCF of 770,528 is 22
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 770/160, 528/834?
Answer: GCF of Numerators as per given numbers 770/160, 528/834 is
GCF of Numerators i.e. for 770,528 is 22
LCM of denominators i.e. for 160,834 is 66720.
Thus, GCF of Fractions is 22/66720.Finally, GCF of Fractions for 770/160, 528/834 is 22/66720.