Use our free GCF of Fractions Calculator tool to compute the GCF of 87/67, 822/85, 688/418 i.e 1/2380510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/67, 822/85, 688/418.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/67,822/85,688/418
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 87/67,822/85,688/418, numerators are 87,822,688
Denominators are 67,85,418
The GCF of 87,822,688 is 1 .
LCM of 67,85,418 is 2380510.
The greatest common factor of 87/67,822/85,688/418 = [GCF of 87,822,688]/[LCM of 67,85,418]= 1/2380510
Therefore, the GCF of 87/67,822/85,688/418 is 1/2380510.
To find the highest common factor of 87,822,688, 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 822 are 1, 2, 3, 6, 137, 274, 411, 822
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 87,822,688 is 1.
Lets's calculate GCF of 87,822,688
∴ 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 822
:1,2,3,6,137,274,411,822
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 87,822,688 . The biggest common factor number is the GCF number.
So the greatest common factor 87,822,688 is 1.
Lets's calculate LCM of 67,85,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 2380510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2380510
Therefore, the GCF of Fractions 87/67,822/85,688/418 is 1/2380510
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 67,85,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,85,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,85,418) x common factors =1 x 1 = 1
LCM(67,85,418) = ( 67 × 85 × 418 ) / 1
LCM(67,85,418) = 2380510 / 1
LCM(67,85,418) = 2380510
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,822,688?
The HCF of 87,822,688 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 87/67, 822/85, 688/418?
Answer: GCF of Numerators as per given numbers 87/67, 822/85, 688/418 is
GCF of Numerators i.e. for 87,822,688 is 1
LCM of denominators i.e. for 67,85,418 is 2380510.
Thus, GCF of Fractions is 1/2380510.Finally, GCF of Fractions for 87/67, 822/85, 688/418 is 1/2380510.