GCF of 9262/597, 7110/4806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9262/597, 7110/4806 i.e 2/956394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9262/597, 7110/4806.
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 9262/597,7110/4806?
Given fractions are 9262/597,7110/4806
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 9262/597,7110/4806, numerators are 9262,7110
Denominators are 597,4806
The GCF of 9262,7110 is 2 .
LCM of 597,4806 is 956394.
The greatest common factor of 9262/597,7110/4806 = [GCF of 9262,7110]/[LCM of 597,4806]= 2/956394
Therefore, the GCF of 9262/597,7110/4806 is 2/956394.
To find the highest common factor of 9262,7110, we have to find the factors of both numbers and list the highest common factor.
The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262
The factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110
The HCF of 9262,7110 is 2.
Lets's calculate GCF of 9262,7110
| 2 | 9262, 7110 |
| 4631, 3555 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9262,7110 By Matching Biggest Common Factor Method
Now, list down the factors of 9262
:1,2,11,22,421,842,4631,9262
Now, list down the factors of 7110
:1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Greatest Common Factor
We found the factors 9262,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 9262,7110 is 2.
Lets's calculate LCM of 597,4806
| 3 | 597, 4806 |
| 199, 1602 |
∴ So the LCM of the given numbers is 3 x 199 x 1602 = 956394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/956394
Therefore, the GCF of Fractions 9262/597,7110/4806 is 2/956394
Least Common Multiple of 597,4806 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 597,4806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,4806) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(597,4806) x common factors =3 x 1 = 3
LCM(597,4806) = ( 597 × 4806 ) / 3
LCM(597,4806) = 2869182 / 3
LCM(597,4806) = 956394
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FAQs on GCF of Fractions of 9262/597, 7110/4806
1. What is the HCF of 9262,7110?
The HCF of 9262,7110 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 9262/597, 7110/4806?
Answer: GCF of Numerators as per given numbers 9262/597, 7110/4806 is
GCF of Numerators i.e. for 9262,7110 is 2
LCM of denominators i.e. for 597,4806 is 956394.
Thus, GCF of Fractions is 2/956394.Finally, GCF of Fractions for 9262/597, 7110/4806 is 2/956394.