GCF of 3038/779, 3108/768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3038/779, 3108/768 i.e 14/598272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3038/779, 3108/768.
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 3038/779,3108/768?
Given fractions are 3038/779,3108/768
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 3038/779,3108/768, numerators are 3038,3108
Denominators are 779,768
The GCF of 3038,3108 is 14 .
LCM of 779,768 is 598272.
The greatest common factor of 3038/779,3108/768 = [GCF of 3038,3108]/[LCM of 779,768]= 14/598272
Therefore, the GCF of 3038/779,3108/768 is 14/598272.
To find the highest common factor of 3038,3108, we have to find the factors of both numbers and list the highest common factor.
The factors of 3038 are 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038
The factors of 3108 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108
The HCF of 3038,3108 is 14.
Lets's calculate GCF of 3038,3108
| 2 | 3038, 3108 |
| 7 | 1519, 1554 |
| 217, 222 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3038,3108 By Matching Biggest Common Factor Method
Now, list down the factors of 3038
:1,2,7,14,31,49,62,98,217,434,1519,3038
Now, list down the factors of 3108
:1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108
Greatest Common Factor
We found the factors 3038,3108 . The biggest common factor number is the GCF number.
So the greatest common factor 3038,3108 is 14.
Lets's calculate LCM of 779,768
Given numbers has no common factors except 1. So, there LCM is their product i.e 598272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/598272
Therefore, the GCF of Fractions 3038/779,3108/768 is 14/598272
Least Common Multiple of 779,768 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 779,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,768) x common factors =1 x 1 = 1
LCM(779,768) = ( 779 × 768 ) / 1
LCM(779,768) = 598272 / 1
LCM(779,768) = 598272
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FAQs on GCF of Fractions of 3038/779, 3108/768
1. What is the HCF of 3038,3108?
The HCF of 3038,3108 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 3038/779, 3108/768?
Answer: GCF of Numerators as per given numbers 3038/779, 3108/768 is
GCF of Numerators i.e. for 3038,3108 is 14
LCM of denominators i.e. for 779,768 is 598272.
Thus, GCF of Fractions is 14/598272.Finally, GCF of Fractions for 3038/779, 3108/768 is 14/598272.