GCF of 474/24, 733/30, 602/22
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 474/24, 733/30, 602/22 i.e 1/1320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 474/24, 733/30, 602/22.
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 474/24,733/30,602/22?
Given fractions are 474/24,733/30,602/22
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 474/24,733/30,602/22, numerators are 474,733,602
Denominators are 24,30,22
The GCF of 474,733,602 is 1 .
LCM of 24,30,22 is 1320.
The greatest common factor of 474/24,733/30,602/22 = [GCF of 474,733,602]/[LCM of 24,30,22]= 1/1320
Therefore, the GCF of 474/24,733/30,602/22 is 1/1320.
To find the highest common factor of 474,733,602, 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 733 are 1, 733
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The HCF of 474,733,602 is 1.
Lets's calculate GCF of 474,733,602
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 474,733,602 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 733
:1,733
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 474,733,602 . The biggest common factor number is the GCF number.
So the greatest common factor 474,733,602 is 1.
Lets's calculate LCM of 24,30,22
| 2 | 24, 30, 22 |
| 3 | 12, 15, 11 |
| 4, 5, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 4 x 5 x 11 = 1320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1320
Therefore, the GCF of Fractions 474/24,733/30,602/22 is 1/1320
Least Common Multiple of 24,30,22 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 24,30,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,30,22) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(24,30,22) x common factors =2 x 6 = 12
LCM(24,30,22) = ( 24 × 30 × 22 ) / 12
LCM(24,30,22) = 15840 / 12
LCM(24,30,22) = 1320
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FAQs on GCF of Fractions of 474/24, 733/30, 602/22
1. What is the HCF of 474,733,602?
The HCF of 474,733,602 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 474/24, 733/30, 602/22?
Answer: GCF of Numerators as per given numbers 474/24, 733/30, 602/22 is
GCF of Numerators i.e. for 474,733,602 is 1
LCM of denominators i.e. for 24,30,22 is 1320.
Thus, GCF of Fractions is 1/1320.Finally, GCF of Fractions for 474/24, 733/30, 602/22 is 1/1320.