GCF of 3808/38, 9639/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3808/38, 9639/765 i.e 119/29070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3808/38, 9639/765.
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 3808/38,9639/765?
Given fractions are 3808/38,9639/765
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 3808/38,9639/765, numerators are 3808,9639
Denominators are 38,765
The GCF of 3808,9639 is 119 .
LCM of 38,765 is 29070.
The greatest common factor of 3808/38,9639/765 = [GCF of 3808,9639]/[LCM of 38,765]= 119/29070
Therefore, the GCF of 3808/38,9639/765 is 119/29070.
To find the highest common factor of 3808,9639, we have to find the factors of both numbers and list the highest common factor.
The factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808
The factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639
The HCF of 3808,9639 is 119.
Lets's calculate GCF of 3808,9639
| 7 | 3808, 9639 |
| 17 | 544, 1377 |
| 32, 81 |
∴ So the GCF of the given numbers is 7 x 17 = 119
Greatest Common Factor of 3808,9639 By Matching Biggest Common Factor Method
Now, list down the factors of 3808
:1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808
Now, list down the factors of 9639
:1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639
Greatest Common Factor
We found the factors 3808,9639 . The biggest common factor number is the GCF number.
So the greatest common factor 3808,9639 is 119.
Lets's calculate LCM of 38,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 29070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 119/29070
Therefore, the GCF of Fractions 3808/38,9639/765 is 119/29070
Least Common Multiple of 38,765 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 38,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,765) x common factors =1 x 1 = 1
LCM(38,765) = ( 38 × 765 ) / 1
LCM(38,765) = 29070 / 1
LCM(38,765) = 29070
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FAQs on GCF of Fractions of 3808/38, 9639/765
1. What is the HCF of 3808,9639?
The HCF of 3808,9639 is 119
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 3808/38, 9639/765?
Answer: GCF of Numerators as per given numbers 3808/38, 9639/765 is
GCF of Numerators i.e. for 3808,9639 is 119
LCM of denominators i.e. for 38,765 is 29070.
Thus, GCF of Fractions is 119/29070.Finally, GCF of Fractions for 3808/38, 9639/765 is 119/29070.