GCF of 9222/238, 7111/4288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9222/238, 7111/4288 i.e 1/510272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9222/238, 7111/4288.
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 9222/238,7111/4288?
Given fractions are 9222/238,7111/4288
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 9222/238,7111/4288, numerators are 9222,7111
Denominators are 238,4288
The GCF of 9222,7111 is 1 .
LCM of 238,4288 is 510272.
The greatest common factor of 9222/238,7111/4288 = [GCF of 9222,7111]/[LCM of 238,4288]= 1/510272
Therefore, the GCF of 9222/238,7111/4288 is 1/510272.
To find the highest common factor of 9222,7111, 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 7111 are 1, 13, 547, 7111
The HCF of 9222,7111 is 1.
Lets's calculate GCF of 9222,7111
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9222,7111 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 7111
:1,13,547,7111
Greatest Common Factor
We found the factors 9222,7111 . The biggest common factor number is the GCF number.
So the greatest common factor 9222,7111 is 1.
Lets's calculate LCM of 238,4288
| 2 | 238, 4288 |
| 119, 2144 |
∴ So the LCM of the given numbers is 2 x 119 x 2144 = 510272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510272
Therefore, the GCF of Fractions 9222/238,7111/4288 is 1/510272
Least Common Multiple of 238,4288 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 238,4288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,4288) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,4288) x common factors =2 x 1 = 2
LCM(238,4288) = ( 238 × 4288 ) / 2
LCM(238,4288) = 1020544 / 2
LCM(238,4288) = 510272
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FAQs on GCF of Fractions of 9222/238, 7111/4288
1. What is the HCF of 9222,7111?
The HCF of 9222,7111 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 9222/238, 7111/4288?
Answer: GCF of Numerators as per given numbers 9222/238, 7111/4288 is
GCF of Numerators i.e. for 9222,7111 is 1
LCM of denominators i.e. for 238,4288 is 510272.
Thus, GCF of Fractions is 1/510272.Finally, GCF of Fractions for 9222/238, 7111/4288 is 1/510272.