Use our free GCF of Fractions Calculator tool to compute the GCF of 84/94, 225/70, 677/611 i.e 1/42770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/94, 225/70, 677/611.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/94,225/70,677/611
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 84/94,225/70,677/611, numerators are 84,225,677
Denominators are 94,70,611
The GCF of 84,225,677 is 1 .
LCM of 94,70,611 is 42770.
The greatest common factor of 84/94,225/70,677/611 = [GCF of 84,225,677]/[LCM of 94,70,611]= 1/42770
Therefore, the GCF of 84/94,225/70,677/611 is 1/42770.
To find the highest common factor of 84,225,677, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The factors of 677 are 1, 677
The HCF of 84,225,677 is 1.
Lets's calculate GCF of 84,225,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 84,225,677 . The biggest common factor number is the GCF number.
So the greatest common factor 84,225,677 is 1.
Lets's calculate LCM of 94,70,611
2 | 94, 70, 611 |
47 | 47, 35, 611 |
1, 35, 13 |
∴ So the LCM of the given numbers is 2 x 47 x 1 x 35 x 13 = 42770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42770
Therefore, the GCF of Fractions 84/94,225/70,677/611 is 1/42770
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 94,70,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,70,611) = 1
common factors(in case of two or more numbers have common factors) = 94
GCF(94,70,611) x common factors =1 x 94 = 94
LCM(94,70,611) = ( 94 × 70 × 611 ) / 94
LCM(94,70,611) = 4020380 / 94
LCM(94,70,611) = 42770
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 84,225,677?
The HCF of 84,225,677 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 84/94, 225/70, 677/611?
Answer: GCF of Numerators as per given numbers 84/94, 225/70, 677/611 is
GCF of Numerators i.e. for 84,225,677 is 1
LCM of denominators i.e. for 94,70,611 is 42770.
Thus, GCF of Fractions is 1/42770.Finally, GCF of Fractions for 84/94, 225/70, 677/611 is 1/42770.