Use our free GCF of Fractions Calculator tool to compute the GCF of 377/874, 870/920 i.e 29/17480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/874, 870/920.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 377/874,870/920
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 377/874,870/920, numerators are 377,870
Denominators are 874,920
The GCF of 377,870 is 29 .
LCM of 874,920 is 17480.
The greatest common factor of 377/874,870/920 = [GCF of 377,870]/[LCM of 874,920]= 29/17480
Therefore, the GCF of 377/874,870/920 is 29/17480.
To find the highest common factor of 377,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 377 are 1, 13, 29, 377
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 377,870 is 29.
Lets's calculate GCF of 377,870
29 | 377, 870 |
13, 30 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 377
:1,13,29,377
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 377,870 . The biggest common factor number is the GCF number.
So the greatest common factor 377,870 is 29.
Lets's calculate LCM of 874,920
2 | 874, 920 |
23 | 437, 460 |
19, 20 |
∴ So the LCM of the given numbers is 2 x 23 x 19 x 20 = 17480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/17480
Therefore, the GCF of Fractions 377/874,870/920 is 29/17480
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 874,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,920) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(874,920) x common factors =46 x 1 = 46
LCM(874,920) = ( 874 × 920 ) / 46
LCM(874,920) = 804080 / 46
LCM(874,920) = 17480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 377,870?
The HCF of 377,870 is 29
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 377/874, 870/920?
Answer: GCF of Numerators as per given numbers 377/874, 870/920 is
GCF of Numerators i.e. for 377,870 is 29
LCM of denominators i.e. for 874,920 is 17480.
Thus, GCF of Fractions is 29/17480.Finally, GCF of Fractions for 377/874, 870/920 is 29/17480.