GCF of 9222/123, 6467/9209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9222/123, 6467/9209 i.e 29/1132707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9222/123, 6467/9209.
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 9222/123,6467/9209?
Given fractions are 9222/123,6467/9209
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 9222/123,6467/9209, numerators are 9222,6467
Denominators are 123,9209
The GCF of 9222,6467 is 29 .
LCM of 123,9209 is 1132707.
The greatest common factor of 9222/123,6467/9209 = [GCF of 9222,6467]/[LCM of 123,9209]= 29/1132707
Therefore, the GCF of 9222/123,6467/9209 is 29/1132707.
To find the highest common factor of 9222,6467, we have to find the factors of both numbers and list the highest common factor.
The factors of 9222 are 1, 2, 3, 6, 29, 53, 58, 87, 106, 159, 174, 318, 1537, 3074, 4611, 9222
The factors of 6467 are 1, 29, 223, 6467
The HCF of 9222,6467 is 29.
Lets's calculate GCF of 9222,6467
| 29 | 9222, 6467 |
| 318, 223 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 9222,6467 By Matching Biggest Common Factor Method
Now, list down the factors of 9222
:1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222
Now, list down the factors of 6467
:1,29,223,6467
Greatest Common Factor
We found the factors 9222,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 9222,6467 is 29.
Lets's calculate LCM of 123,9209
Given numbers has no common factors except 1. So, there LCM is their product i.e 1132707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1132707
Therefore, the GCF of Fractions 9222/123,6467/9209 is 29/1132707
Least Common Multiple of 123,9209 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 123,9209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,9209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,9209) x common factors =1 x 1 = 1
LCM(123,9209) = ( 123 × 9209 ) / 1
LCM(123,9209) = 1132707 / 1
LCM(123,9209) = 1132707
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FAQs on GCF of Fractions of 9222/123, 6467/9209
1. What is the HCF of 9222,6467?
The HCF of 9222,6467 is 29
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 9222/123, 6467/9209?
Answer: GCF of Numerators as per given numbers 9222/123, 6467/9209 is
GCF of Numerators i.e. for 9222,6467 is 29
LCM of denominators i.e. for 123,9209 is 1132707.
Thus, GCF of Fractions is 29/1132707.Finally, GCF of Fractions for 9222/123, 6467/9209 is 29/1132707.