Use our free GCF of Fractions Calculator tool to compute the GCF of 454/673, 456/740 i.e 2/498020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/673, 456/740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 454/673,456/740
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 454/673,456/740, numerators are 454,456
Denominators are 673,740
The GCF of 454,456 is 2 .
LCM of 673,740 is 498020.
The greatest common factor of 454/673,456/740 = [GCF of 454,456]/[LCM of 673,740]= 2/498020
Therefore, the GCF of 454/673,456/740 is 2/498020.
To find the highest common factor of 454,456, we have to find the factors of both numbers and list the highest common factor.
The factors of 454 are 1, 2, 227, 454
The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The HCF of 454,456 is 2.
Lets's calculate GCF of 454,456
2 | 454, 456 |
227, 228 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 454
:1,2,227,454
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 454,456 . The biggest common factor number is the GCF number.
So the greatest common factor 454,456 is 2.
Lets's calculate LCM of 673,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 498020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/498020
Therefore, the GCF of Fractions 454/673,456/740 is 2/498020
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 673,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,740) x common factors =1 x 1 = 1
LCM(673,740) = ( 673 × 740 ) / 1
LCM(673,740) = 498020 / 1
LCM(673,740) = 498020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 454,456?
The HCF of 454,456 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 454/673, 456/740?
Answer: GCF of Numerators as per given numbers 454/673, 456/740 is
GCF of Numerators i.e. for 454,456 is 2
LCM of denominators i.e. for 673,740 is 498020.
Thus, GCF of Fractions is 2/498020.Finally, GCF of Fractions for 454/673, 456/740 is 2/498020.