GCF of 9814/885, 9632/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9814/885, 9632/972 i.e 14/286740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9814/885, 9632/972.
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 9814/885,9632/972?
Given fractions are 9814/885,9632/972
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 9814/885,9632/972, numerators are 9814,9632
Denominators are 885,972
The GCF of 9814,9632 is 14 .
LCM of 885,972 is 286740.
The greatest common factor of 9814/885,9632/972 = [GCF of 9814,9632]/[LCM of 885,972]= 14/286740
Therefore, the GCF of 9814/885,9632/972 is 14/286740.
To find the highest common factor of 9814,9632, 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 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632
The HCF of 9814,9632 is 14.
Lets's calculate GCF of 9814,9632
| 2 | 9814, 9632 |
| 7 | 4907, 4816 |
| 701, 688 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9814,9632 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 9632
:1,2,4,7,8,14,16,28,32,43,56,86,112,172,224,301,344,602,688,1204,1376,2408,4816,9632
Greatest Common Factor
We found the factors 9814,9632 . The biggest common factor number is the GCF number.
So the greatest common factor 9814,9632 is 14.
Lets's calculate LCM of 885,972
| 3 | 885, 972 |
| 295, 324 |
∴ So the LCM of the given numbers is 3 x 295 x 324 = 286740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/286740
Therefore, the GCF of Fractions 9814/885,9632/972 is 14/286740
Least Common Multiple of 885,972 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 885,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,972) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(885,972) x common factors =3 x 1 = 3
LCM(885,972) = ( 885 × 972 ) / 3
LCM(885,972) = 860220 / 3
LCM(885,972) = 286740
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FAQs on GCF of Fractions of 9814/885, 9632/972
1. What is the HCF of 9814,9632?
The HCF of 9814,9632 is 14
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 9814/885, 9632/972?
Answer: GCF of Numerators as per given numbers 9814/885, 9632/972 is
GCF of Numerators i.e. for 9814,9632 is 14
LCM of denominators i.e. for 885,972 is 286740.
Thus, GCF of Fractions is 14/286740.Finally, GCF of Fractions for 9814/885, 9632/972 is 14/286740.