GCF of 9262/413, 1170/7008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9262/413, 1170/7008 i.e 2/2894304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9262/413, 1170/7008.
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 9262/413,1170/7008?
Given fractions are 9262/413,1170/7008
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 9262/413,1170/7008, numerators are 9262,1170
Denominators are 413,7008
The GCF of 9262,1170 is 2 .
LCM of 413,7008 is 2894304.
The greatest common factor of 9262/413,1170/7008 = [GCF of 9262,1170]/[LCM of 413,7008]= 2/2894304
Therefore, the GCF of 9262/413,1170/7008 is 2/2894304.
To find the highest common factor of 9262,1170, 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 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170
The HCF of 9262,1170 is 2.
Lets's calculate GCF of 9262,1170
| 2 | 9262, 1170 |
| 4631, 585 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9262,1170 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 1170
:1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170
Greatest Common Factor
We found the factors 9262,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 9262,1170 is 2.
Lets's calculate LCM of 413,7008
Given numbers has no common factors except 1. So, there LCM is their product i.e 2894304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2894304
Therefore, the GCF of Fractions 9262/413,1170/7008 is 2/2894304
Least Common Multiple of 413,7008 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 413,7008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,7008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,7008) x common factors =1 x 1 = 1
LCM(413,7008) = ( 413 × 7008 ) / 1
LCM(413,7008) = 2894304 / 1
LCM(413,7008) = 2894304
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FAQs on GCF of Fractions of 9262/413, 1170/7008
1. What is the HCF of 9262,1170?
The HCF of 9262,1170 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 9262/413, 1170/7008?
Answer: GCF of Numerators as per given numbers 9262/413, 1170/7008 is
GCF of Numerators i.e. for 9262,1170 is 2
LCM of denominators i.e. for 413,7008 is 2894304.
Thus, GCF of Fractions is 2/2894304.Finally, GCF of Fractions for 9262/413, 1170/7008 is 2/2894304.