GCF of 1661/379, 4928/2751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1661/379, 4928/2751 i.e 11/1042629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1661/379, 4928/2751.
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 1661/379,4928/2751?
Given fractions are 1661/379,4928/2751
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 1661/379,4928/2751, numerators are 1661,4928
Denominators are 379,2751
The GCF of 1661,4928 is 11 .
LCM of 379,2751 is 1042629.
The greatest common factor of 1661/379,4928/2751 = [GCF of 1661,4928]/[LCM of 379,2751]= 11/1042629
Therefore, the GCF of 1661/379,4928/2751 is 11/1042629.
To find the highest common factor of 1661,4928, we have to find the factors of both numbers and list the highest common factor.
The factors of 1661 are 1, 11, 151, 1661
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The HCF of 1661,4928 is 11.
Lets's calculate GCF of 1661,4928
| 11 | 1661, 4928 |
| 151, 448 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1661,4928 By Matching Biggest Common Factor Method
Now, list down the factors of 1661
:1,11,151,1661
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Greatest Common Factor
We found the factors 1661,4928 . The biggest common factor number is the GCF number.
So the greatest common factor 1661,4928 is 11.
Lets's calculate LCM of 379,2751
Given numbers has no common factors except 1. So, there LCM is their product i.e 1042629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1042629
Therefore, the GCF of Fractions 1661/379,4928/2751 is 11/1042629
Least Common Multiple of 379,2751 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 379,2751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,2751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,2751) x common factors =1 x 1 = 1
LCM(379,2751) = ( 379 × 2751 ) / 1
LCM(379,2751) = 1042629 / 1
LCM(379,2751) = 1042629
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1661/379, 4928/2751
1. What is the HCF of 1661,4928?
The HCF of 1661,4928 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 1661/379, 4928/2751?
Answer: GCF of Numerators as per given numbers 1661/379, 4928/2751 is
GCF of Numerators i.e. for 1661,4928 is 11
LCM of denominators i.e. for 379,2751 is 1042629.
Thus, GCF of Fractions is 11/1042629.Finally, GCF of Fractions for 1661/379, 4928/2751 is 11/1042629.