GCF of 9956/119, 9690/8173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9956/119, 9690/8173 i.e 38/972587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9956/119, 9690/8173.
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 9956/119,9690/8173?
Given fractions are 9956/119,9690/8173
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 9956/119,9690/8173, numerators are 9956,9690
Denominators are 119,8173
The GCF of 9956,9690 is 38 .
LCM of 119,8173 is 972587.
The greatest common factor of 9956/119,9690/8173 = [GCF of 9956,9690]/[LCM of 119,8173]= 38/972587
Therefore, the GCF of 9956/119,9690/8173 is 38/972587.
To find the highest common factor of 9956,9690, we have to find the factors of both numbers and list the highest common factor.
The factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956
The factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
The HCF of 9956,9690 is 38.
Lets's calculate GCF of 9956,9690
| 2 | 9956, 9690 |
| 19 | 4978, 4845 |
| 262, 255 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 9956,9690 By Matching Biggest Common Factor Method
Now, list down the factors of 9956
:1,2,4,19,38,76,131,262,524,2489,4978,9956
Now, list down the factors of 9690
:1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Greatest Common Factor
We found the factors 9956,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 9956,9690 is 38.
Lets's calculate LCM of 119,8173
Given numbers has no common factors except 1. So, there LCM is their product i.e 972587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/972587
Therefore, the GCF of Fractions 9956/119,9690/8173 is 38/972587
Least Common Multiple of 119,8173 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 119,8173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,8173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,8173) x common factors =1 x 1 = 1
LCM(119,8173) = ( 119 × 8173 ) / 1
LCM(119,8173) = 972587 / 1
LCM(119,8173) = 972587
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FAQs on GCF of Fractions of 9956/119, 9690/8173
1. What is the HCF of 9956,9690?
The HCF of 9956,9690 is 38
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 9956/119, 9690/8173?
Answer: GCF of Numerators as per given numbers 9956/119, 9690/8173 is
GCF of Numerators i.e. for 9956,9690 is 38
LCM of denominators i.e. for 119,8173 is 972587.
Thus, GCF of Fractions is 38/972587.Finally, GCF of Fractions for 9956/119, 9690/8173 is 38/972587.