GCF of 3080/457, 7601/376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3080/457, 7601/376 i.e 11/171832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3080/457, 7601/376.
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 3080/457,7601/376?
Given fractions are 3080/457,7601/376
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 3080/457,7601/376, numerators are 3080,7601
Denominators are 457,376
The GCF of 3080,7601 is 11 .
LCM of 457,376 is 171832.
The greatest common factor of 3080/457,7601/376 = [GCF of 3080,7601]/[LCM of 457,376]= 11/171832
Therefore, the GCF of 3080/457,7601/376 is 11/171832.
To find the highest common factor of 3080,7601, we have to find the factors of both numbers and list the highest common factor.
The factors of 3080 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080
The factors of 7601 are 1, 11, 691, 7601
The HCF of 3080,7601 is 11.
Lets's calculate GCF of 3080,7601
| 11 | 3080, 7601 |
| 280, 691 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3080,7601 By Matching Biggest Common Factor Method
Now, list down the factors of 3080
:1,2,4,5,7,8,10,11,14,20,22,28,35,40,44,55,56,70,77,88,110,140,154,220,280,308,385,440,616,770,1540,3080
Now, list down the factors of 7601
:1,11,691,7601
Greatest Common Factor
We found the factors 3080,7601 . The biggest common factor number is the GCF number.
So the greatest common factor 3080,7601 is 11.
Lets's calculate LCM of 457,376
Given numbers has no common factors except 1. So, there LCM is their product i.e 171832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/171832
Therefore, the GCF of Fractions 3080/457,7601/376 is 11/171832
Least Common Multiple of 457,376 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 457,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,376) x common factors =1 x 1 = 1
LCM(457,376) = ( 457 × 376 ) / 1
LCM(457,376) = 171832 / 1
LCM(457,376) = 171832
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3080/457, 7601/376
1. What is the HCF of 3080,7601?
The HCF of 3080,7601 is 11
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 3080/457, 7601/376?
Answer: GCF of Numerators as per given numbers 3080/457, 7601/376 is
GCF of Numerators i.e. for 3080,7601 is 11
LCM of denominators i.e. for 457,376 is 171832.
Thus, GCF of Fractions is 11/171832.Finally, GCF of Fractions for 3080/457, 7601/376 is 11/171832.