Use our free GCF of Fractions Calculator tool to compute the GCF of 87/10, 676/98, 435/534 i.e 1/130830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/10, 676/98, 435/534.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/10,676/98,435/534
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 87/10,676/98,435/534, numerators are 87,676,435
Denominators are 10,98,534
The GCF of 87,676,435 is 1 .
LCM of 10,98,534 is 130830.
The greatest common factor of 87/10,676/98,435/534 = [GCF of 87,676,435]/[LCM of 10,98,534]= 1/130830
Therefore, the GCF of 87/10,676/98,435/534 is 1/130830.
To find the highest common factor of 87,676,435, 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 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The HCF of 87,676,435 is 1.
Lets's calculate GCF of 87,676,435
∴ 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 676
:1,2,4,13,26,52,169,338,676
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 87,676,435 . The biggest common factor number is the GCF number.
So the greatest common factor 87,676,435 is 1.
Lets's calculate LCM of 10,98,534
2 | 10, 98, 534 |
5, 49, 267 |
∴ So the LCM of the given numbers is 2 x 5 x 49 x 267 = 130830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130830
Therefore, the GCF of Fractions 87/10,676/98,435/534 is 1/130830
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 10,98,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,98,534) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(10,98,534) x common factors =2 x 2 = 4
LCM(10,98,534) = ( 10 × 98 × 534 ) / 4
LCM(10,98,534) = 523320 / 4
LCM(10,98,534) = 130830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,676,435?
The HCF of 87,676,435 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 87/10, 676/98, 435/534?
Answer: GCF of Numerators as per given numbers 87/10, 676/98, 435/534 is
GCF of Numerators i.e. for 87,676,435 is 1
LCM of denominators i.e. for 10,98,534 is 130830.
Thus, GCF of Fractions is 1/130830.Finally, GCF of Fractions for 87/10, 676/98, 435/534 is 1/130830.