GCF of 9814/960, 9008/2012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9814/960, 9008/2012 i.e 2/482880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9814/960, 9008/2012.
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 9814/960,9008/2012?
Given fractions are 9814/960,9008/2012
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 9814/960,9008/2012, numerators are 9814,9008
Denominators are 960,2012
The GCF of 9814,9008 is 2 .
LCM of 960,2012 is 482880.
The greatest common factor of 9814/960,9008/2012 = [GCF of 9814,9008]/[LCM of 960,2012]= 2/482880
Therefore, the GCF of 9814/960,9008/2012 is 2/482880.
To find the highest common factor of 9814,9008, we have to find the factors of both numbers and list the highest common factor.
The factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814
The factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008
The HCF of 9814,9008 is 2.
Lets's calculate GCF of 9814,9008
| 2 | 9814, 9008 |
| 4907, 4504 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9814,9008 By Matching Biggest Common Factor Method
Now, list down the factors of 9814
:1,2,7,14,701,1402,4907,9814
Now, list down the factors of 9008
:1,2,4,8,16,563,1126,2252,4504,9008
Greatest Common Factor
We found the factors 9814,9008 . The biggest common factor number is the GCF number.
So the greatest common factor 9814,9008 is 2.
Lets's calculate LCM of 960,2012
| 2 | 960, 2012 |
| 2 | 480, 1006 |
| 240, 503 |
∴ So the LCM of the given numbers is 2 x 2 x 240 x 503 = 482880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/482880
Therefore, the GCF of Fractions 9814/960,9008/2012 is 2/482880
Least Common Multiple of 960,2012 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 960,2012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,2012) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(960,2012) x common factors =4 x 1 = 4
LCM(960,2012) = ( 960 × 2012 ) / 4
LCM(960,2012) = 1931520 / 4
LCM(960,2012) = 482880
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FAQs on GCF of Fractions of 9814/960, 9008/2012
1. What is the HCF of 9814,9008?
The HCF of 9814,9008 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 9814/960, 9008/2012?
Answer: GCF of Numerators as per given numbers 9814/960, 9008/2012 is
GCF of Numerators i.e. for 9814,9008 is 2
LCM of denominators i.e. for 960,2012 is 482880.
Thus, GCF of Fractions is 2/482880.Finally, GCF of Fractions for 9814/960, 9008/2012 is 2/482880.