Use our free GCF of Fractions Calculator tool to compute the GCF of 88/60, 861/53, 750/424 i.e 1/6360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/60, 861/53, 750/424.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/60,861/53,750/424
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 88/60,861/53,750/424, numerators are 88,861,750
Denominators are 60,53,424
The GCF of 88,861,750 is 1 .
LCM of 60,53,424 is 6360.
The greatest common factor of 88/60,861/53,750/424 = [GCF of 88,861,750]/[LCM of 60,53,424]= 1/6360
Therefore, the GCF of 88/60,861/53,750/424 is 1/6360.
To find the highest common factor of 88,861,750, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861
The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
The HCF of 88,861,750 is 1.
Lets's calculate GCF of 88,861,750
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 861
:1,3,7,21,41,123,287,861
Now, list down the factors of 750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 88,861,750 . The biggest common factor number is the GCF number.
So the greatest common factor 88,861,750 is 1.
Lets's calculate LCM of 60,53,424
2 | 60, 53, 424 |
2 | 30, 53, 212 |
53 | 15, 53, 106 |
15, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 15 x 1 x 2 = 6360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6360
Therefore, the GCF of Fractions 88/60,861/53,750/424 is 1/6360
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 60,53,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,53,424) = 1
common factors(in case of two or more numbers have common factors) = 212
GCF(60,53,424) x common factors =1 x 212 = 212
LCM(60,53,424) = ( 60 × 53 × 424 ) / 212
LCM(60,53,424) = 1348320 / 212
LCM(60,53,424) = 6360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,861,750?
The HCF of 88,861,750 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 88/60, 861/53, 750/424?
Answer: GCF of Numerators as per given numbers 88/60, 861/53, 750/424 is
GCF of Numerators i.e. for 88,861,750 is 1
LCM of denominators i.e. for 60,53,424 is 6360.
Thus, GCF of Fractions is 1/6360.Finally, GCF of Fractions for 88/60, 861/53, 750/424 is 1/6360.