GCF of 5082/770, 7378/1441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5082/770, 7378/1441 i.e 14/100870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5082/770, 7378/1441.
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 5082/770,7378/1441?
Given fractions are 5082/770,7378/1441
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 5082/770,7378/1441, numerators are 5082,7378
Denominators are 770,1441
The GCF of 5082,7378 is 14 .
LCM of 770,1441 is 100870.
The greatest common factor of 5082/770,7378/1441 = [GCF of 5082,7378]/[LCM of 770,1441]= 14/100870
Therefore, the GCF of 5082/770,7378/1441 is 14/100870.
To find the highest common factor of 5082,7378, we have to find the factors of both numbers and list the highest common factor.
The factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
The factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378
The HCF of 5082,7378 is 14.
Lets's calculate GCF of 5082,7378
| 2 | 5082, 7378 |
| 7 | 2541, 3689 |
| 363, 527 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5082,7378 By Matching Biggest Common Factor Method
Now, list down the factors of 5082
:1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082
Now, list down the factors of 7378
:1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378
Greatest Common Factor
We found the factors 5082,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 5082,7378 is 14.
Lets's calculate LCM of 770,1441
| 11 | 770, 1441 |
| 70, 131 |
∴ So the LCM of the given numbers is 11 x 70 x 131 = 100870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/100870
Therefore, the GCF of Fractions 5082/770,7378/1441 is 14/100870
Least Common Multiple of 770,1441 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 770,1441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,1441) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(770,1441) x common factors =11 x 1 = 11
LCM(770,1441) = ( 770 × 1441 ) / 11
LCM(770,1441) = 1109570 / 11
LCM(770,1441) = 100870
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FAQs on GCF of Fractions of 5082/770, 7378/1441
1. What is the HCF of 5082,7378?
The HCF of 5082,7378 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 5082/770, 7378/1441?
Answer: GCF of Numerators as per given numbers 5082/770, 7378/1441 is
GCF of Numerators i.e. for 5082,7378 is 14
LCM of denominators i.e. for 770,1441 is 100870.
Thus, GCF of Fractions is 14/100870.Finally, GCF of Fractions for 5082/770, 7378/1441 is 14/100870.