Use our free GCF of Fractions Calculator tool to compute the GCF of 88/650, 9770/2538 i.e 2/824850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/650, 9770/2538.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/650,9770/2538
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 88/650,9770/2538, numerators are 88,9770
Denominators are 650,2538
The GCF of 88,9770 is 2 .
LCM of 650,2538 is 824850.
The greatest common factor of 88/650,9770/2538 = [GCF of 88,9770]/[LCM of 650,2538]= 2/824850
Therefore, the GCF of 88/650,9770/2538 is 2/824850.
To find the highest common factor of 88,9770, 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 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The HCF of 88,9770 is 2.
Lets's calculate GCF of 88,9770
2 | 88, 9770 |
44, 4885 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Greatest Common Factor
We found the factors 88,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 88,9770 is 2.
Lets's calculate LCM of 650,2538
2 | 650, 2538 |
325, 1269 |
∴ So the LCM of the given numbers is 2 x 325 x 1269 = 824850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/824850
Therefore, the GCF of Fractions 88/650,9770/2538 is 2/824850
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 650,2538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,2538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,2538) x common factors =2 x 1 = 2
LCM(650,2538) = ( 650 × 2538 ) / 2
LCM(650,2538) = 1649700 / 2
LCM(650,2538) = 824850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,9770?
The HCF of 88,9770 is 2
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 88/650, 9770/2538?
Answer: GCF of Numerators as per given numbers 88/650, 9770/2538 is
GCF of Numerators i.e. for 88,9770 is 2
LCM of denominators i.e. for 650,2538 is 824850.
Thus, GCF of Fractions is 2/824850.Finally, GCF of Fractions for 88/650, 9770/2538 is 2/824850.