Use our free GCF of Fractions Calculator tool to compute the GCF of 87/97, 427/44, 236/838 i.e 1/1788292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/97, 427/44, 236/838.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/97,427/44,236/838
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 87/97,427/44,236/838, numerators are 87,427,236
Denominators are 97,44,838
The GCF of 87,427,236 is 1 .
LCM of 97,44,838 is 1788292.
The greatest common factor of 87/97,427/44,236/838 = [GCF of 87,427,236]/[LCM of 97,44,838]= 1/1788292
Therefore, the GCF of 87/97,427/44,236/838 is 1/1788292.
To find the highest common factor of 87,427,236, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 427 are 1, 7, 61, 427
The factors of 236 are 1, 2, 4, 59, 118, 236
The HCF of 87,427,236 is 1.
Lets's calculate GCF of 87,427,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 427
:1,7,61,427
Now, list down the factors of 236
:1,2,4,59,118,236
Greatest Common Factor
We found the factors 87,427,236 . The biggest common factor number is the GCF number.
So the greatest common factor 87,427,236 is 1.
Lets's calculate LCM of 97,44,838
2 | 97, 44, 838 |
97, 22, 419 |
∴ So the LCM of the given numbers is 2 x 97 x 22 x 419 = 1788292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788292
Therefore, the GCF of Fractions 87/97,427/44,236/838 is 1/1788292
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 97,44,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,44,838) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(97,44,838) x common factors =1 x 2 = 2
LCM(97,44,838) = ( 97 × 44 × 838 ) / 2
LCM(97,44,838) = 3576584 / 2
LCM(97,44,838) = 1788292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,427,236?
The HCF of 87,427,236 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 87/97, 427/44, 236/838?
Answer: GCF of Numerators as per given numbers 87/97, 427/44, 236/838 is
GCF of Numerators i.e. for 87,427,236 is 1
LCM of denominators i.e. for 97,44,838 is 1788292.
Thus, GCF of Fractions is 1/1788292.Finally, GCF of Fractions for 87/97, 427/44, 236/838 is 1/1788292.