Use our free GCF of Fractions Calculator tool to compute the GCF of 87/11, 688/83, 294/540 i.e 1/493020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/11, 688/83, 294/540.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/11,688/83,294/540
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 87/11,688/83,294/540, numerators are 87,688,294
Denominators are 11,83,540
The GCF of 87,688,294 is 1 .
LCM of 11,83,540 is 493020.
The greatest common factor of 87/11,688/83,294/540 = [GCF of 87,688,294]/[LCM of 11,83,540]= 1/493020
Therefore, the GCF of 87/11,688/83,294/540 is 1/493020.
To find the highest common factor of 87,688,294, 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 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The HCF of 87,688,294 is 1.
Lets's calculate GCF of 87,688,294
∴ 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 688
:1,2,4,8,16,43,86,172,344,688
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 87,688,294 . The biggest common factor number is the GCF number.
So the greatest common factor 87,688,294 is 1.
Lets's calculate LCM of 11,83,540
Given numbers has no common factors except 1. So, there LCM is their product i.e 493020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493020
Therefore, the GCF of Fractions 87/11,688/83,294/540 is 1/493020
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 11,83,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,83,540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,83,540) x common factors =1 x 1 = 1
LCM(11,83,540) = ( 11 × 83 × 540 ) / 1
LCM(11,83,540) = 493020 / 1
LCM(11,83,540) = 493020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,688,294?
The HCF of 87,688,294 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 87/11, 688/83, 294/540?
Answer: GCF of Numerators as per given numbers 87/11, 688/83, 294/540 is
GCF of Numerators i.e. for 87,688,294 is 1
LCM of denominators i.e. for 11,83,540 is 493020.
Thus, GCF of Fractions is 1/493020.Finally, GCF of Fractions for 87/11, 688/83, 294/540 is 1/493020.