Use our free GCF of Fractions Calculator tool to compute the GCF of 263/375, 680/752 i.e 1/282000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/375, 680/752.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 263/375,680/752
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 263/375,680/752, numerators are 263,680
Denominators are 375,752
The GCF of 263,680 is 1 .
LCM of 375,752 is 282000.
The greatest common factor of 263/375,680/752 = [GCF of 263,680]/[LCM of 375,752]= 1/282000
Therefore, the GCF of 263/375,680/752 is 1/282000.
To find the highest common factor of 263,680, we have to find the factors of both numbers and list the highest common factor.
The factors of 263 are 1, 263
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 263,680 is 1.
Lets's calculate GCF of 263,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 263
:1,263
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 263,680 . The biggest common factor number is the GCF number.
So the greatest common factor 263,680 is 1.
Lets's calculate LCM of 375,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 282000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282000
Therefore, the GCF of Fractions 263/375,680/752 is 1/282000
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 375,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,752) x common factors =1 x 1 = 1
LCM(375,752) = ( 375 × 752 ) / 1
LCM(375,752) = 282000 / 1
LCM(375,752) = 282000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 263,680?
The HCF of 263,680 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 263/375, 680/752?
Answer: GCF of Numerators as per given numbers 263/375, 680/752 is
GCF of Numerators i.e. for 263,680 is 1
LCM of denominators i.e. for 375,752 is 282000.
Thus, GCF of Fractions is 1/282000.Finally, GCF of Fractions for 263/375, 680/752 is 1/282000.