GCF of 474/634, 370/133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 474/634, 370/133 i.e 2/84322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 474/634, 370/133.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 474/634,370/133?
Given fractions are 474/634,370/133
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 474/634,370/133, numerators are 474,370
Denominators are 634,133
The GCF of 474,370 is 2 .
LCM of 634,133 is 84322.
The greatest common factor of 474/634,370/133 = [GCF of 474,370]/[LCM of 634,133]= 2/84322
Therefore, the GCF of 474/634,370/133 is 2/84322.
To find the highest common factor of 474,370, we have to find the factors of both numbers and list the highest common factor.
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 474,370 is 2.
Lets's calculate GCF of 474,370
| 2 | 474, 370 |
| 237, 185 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 474,370 By Matching Biggest Common Factor Method
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 474,370 . The biggest common factor number is the GCF number.
So the greatest common factor 474,370 is 2.
Lets's calculate LCM of 634,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 84322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84322
Therefore, the GCF of Fractions 474/634,370/133 is 2/84322
Least Common Multiple of 634,133 with GCF Formula
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 634,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,133) x common factors =1 x 1 = 1
LCM(634,133) = ( 634 × 133 ) / 1
LCM(634,133) = 84322 / 1
LCM(634,133) = 84322
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 474/634, 370/133
1. What is the HCF of 474,370?
The HCF of 474,370 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 474/634, 370/133?
Answer: GCF of Numerators as per given numbers 474/634, 370/133 is
GCF of Numerators i.e. for 474,370 is 2
LCM of denominators i.e. for 634,133 is 84322.
Thus, GCF of Fractions is 2/84322.Finally, GCF of Fractions for 474/634, 370/133 is 2/84322.