Use our free GCF of Fractions Calculator tool to compute the GCF of 925/715, 360/840 i.e 5/120120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/715, 360/840.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/715,360/840
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 925/715,360/840, numerators are 925,360
Denominators are 715,840
The GCF of 925,360 is 5 .
LCM of 715,840 is 120120.
The greatest common factor of 925/715,360/840 = [GCF of 925,360]/[LCM of 715,840]= 5/120120
Therefore, the GCF of 925/715,360/840 is 5/120120.
To find the highest common factor of 925,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 925 are 1, 5, 25, 37, 185, 925
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 925,360 is 5.
Lets's calculate GCF of 925,360
5 | 925, 360 |
185, 72 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 925
:1,5,25,37,185,925
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 925,360 . The biggest common factor number is the GCF number.
So the greatest common factor 925,360 is 5.
Lets's calculate LCM of 715,840
5 | 715, 840 |
143, 168 |
∴ So the LCM of the given numbers is 5 x 143 x 168 = 120120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/120120
Therefore, the GCF of Fractions 925/715,360/840 is 5/120120
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 715,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,840) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,840) x common factors =5 x 1 = 5
LCM(715,840) = ( 715 × 840 ) / 5
LCM(715,840) = 600600 / 5
LCM(715,840) = 120120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 925,360?
The HCF of 925,360 is 5
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 925/715, 360/840?
Answer: GCF of Numerators as per given numbers 925/715, 360/840 is
GCF of Numerators i.e. for 925,360 is 5
LCM of denominators i.e. for 715,840 is 120120.
Thus, GCF of Fractions is 5/120120.Finally, GCF of Fractions for 925/715, 360/840 is 5/120120.