GCF of 1506/406, 9273/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1506/406, 9273/222 i.e 3/45066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1506/406, 9273/222.
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 1506/406,9273/222?
Given fractions are 1506/406,9273/222
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 1506/406,9273/222, numerators are 1506,9273
Denominators are 406,222
The GCF of 1506,9273 is 3 .
LCM of 406,222 is 45066.
The greatest common factor of 1506/406,9273/222 = [GCF of 1506,9273]/[LCM of 406,222]= 3/45066
Therefore, the GCF of 1506/406,9273/222 is 3/45066.
To find the highest common factor of 1506,9273, we have to find the factors of both numbers and list the highest common factor.
The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506
The factors of 9273 are 1, 3, 11, 33, 281, 843, 3091, 9273
The HCF of 1506,9273 is 3.
Lets's calculate GCF of 1506,9273
| 3 | 1506, 9273 |
| 502, 3091 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1506,9273 By Matching Biggest Common Factor Method
Now, list down the factors of 1506
:1,2,3,6,251,502,753,1506
Now, list down the factors of 9273
:1,3,11,33,281,843,3091,9273
Greatest Common Factor
We found the factors 1506,9273 . The biggest common factor number is the GCF number.
So the greatest common factor 1506,9273 is 3.
Lets's calculate LCM of 406,222
| 2 | 406, 222 |
| 203, 111 |
∴ So the LCM of the given numbers is 2 x 203 x 111 = 45066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45066
Therefore, the GCF of Fractions 1506/406,9273/222 is 3/45066
Least Common Multiple of 406,222 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 406,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,222) x common factors =2 x 1 = 2
LCM(406,222) = ( 406 × 222 ) / 2
LCM(406,222) = 90132 / 2
LCM(406,222) = 45066
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FAQs on GCF of Fractions of 1506/406, 9273/222
1. What is the HCF of 1506,9273?
The HCF of 1506,9273 is 3
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 1506/406, 9273/222?
Answer: GCF of Numerators as per given numbers 1506/406, 9273/222 is
GCF of Numerators i.e. for 1506,9273 is 3
LCM of denominators i.e. for 406,222 is 45066.
Thus, GCF of Fractions is 3/45066.Finally, GCF of Fractions for 1506/406, 9273/222 is 3/45066.