Use our free GCF of Fractions Calculator tool to compute the GCF of 54/762, 970/767, 622/182 i.e 2/4091178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/762, 970/767, 622/182.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/762,970/767,622/182
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 54/762,970/767,622/182, numerators are 54,970,622
Denominators are 762,767,182
The GCF of 54,970,622 is 2 .
LCM of 762,767,182 is 4091178.
The greatest common factor of 54/762,970/767,622/182 = [GCF of 54,970,622]/[LCM of 762,767,182]= 2/4091178
Therefore, the GCF of 54/762,970/767,622/182 is 2/4091178.
To find the highest common factor of 54,970,622, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 622 are 1, 2, 311, 622
The HCF of 54,970,622 is 2.
Lets's calculate GCF of 54,970,622
2 | 54, 970, 622 |
27, 485, 311 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 54,970,622 . The biggest common factor number is the GCF number.
So the greatest common factor 54,970,622 is 2.
Lets's calculate LCM of 762,767,182
2 | 762, 767, 182 |
13 | 381, 767, 91 |
381, 59, 7 |
∴ So the LCM of the given numbers is 2 x 13 x 381 x 59 x 7 = 4091178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4091178
Therefore, the GCF of Fractions 54/762,970/767,622/182 is 2/4091178
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 762,767,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,767,182) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(762,767,182) x common factors =1 x 26 = 26
LCM(762,767,182) = ( 762 × 767 × 182 ) / 26
LCM(762,767,182) = 106370628 / 26
LCM(762,767,182) = 4091178
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 54,970,622?
The HCF of 54,970,622 is 2
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 54/762, 970/767, 622/182?
Answer: GCF of Numerators as per given numbers 54/762, 970/767, 622/182 is
GCF of Numerators i.e. for 54,970,622 is 2
LCM of denominators i.e. for 762,767,182 is 4091178.
Thus, GCF of Fractions is 2/4091178.Finally, GCF of Fractions for 54/762, 970/767, 622/182 is 2/4091178.