GCF of 3872/548, 1696/919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3872/548, 1696/919 i.e 32/503612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3872/548, 1696/919.
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 3872/548,1696/919?
Given fractions are 3872/548,1696/919
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 3872/548,1696/919, numerators are 3872,1696
Denominators are 548,919
The GCF of 3872,1696 is 32 .
LCM of 548,919 is 503612.
The greatest common factor of 3872/548,1696/919 = [GCF of 3872,1696]/[LCM of 548,919]= 32/503612
Therefore, the GCF of 3872/548,1696/919 is 32/503612.
To find the highest common factor of 3872,1696, we have to find the factors of both numbers and list the highest common factor.
The factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872
The factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696
The HCF of 3872,1696 is 32.
Lets's calculate GCF of 3872,1696
| 2 | 3872, 1696 |
| 2 | 1936, 848 |
| 2 | 968, 424 |
| 2 | 484, 212 |
| 2 | 242, 106 |
| 121, 53 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 3872,1696 By Matching Biggest Common Factor Method
Now, list down the factors of 3872
:1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Now, list down the factors of 1696
:1,2,4,8,16,32,53,106,212,424,848,1696
Greatest Common Factor
We found the factors 3872,1696 . The biggest common factor number is the GCF number.
So the greatest common factor 3872,1696 is 32.
Lets's calculate LCM of 548,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 503612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/503612
Therefore, the GCF of Fractions 3872/548,1696/919 is 32/503612
Least Common Multiple of 548,919 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 548,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,919) x common factors =1 x 1 = 1
LCM(548,919) = ( 548 × 919 ) / 1
LCM(548,919) = 503612 / 1
LCM(548,919) = 503612
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3872/548, 1696/919
1. What is the HCF of 3872,1696?
The HCF of 3872,1696 is 32
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 3872/548, 1696/919?
Answer: GCF of Numerators as per given numbers 3872/548, 1696/919 is
GCF of Numerators i.e. for 3872,1696 is 32
LCM of denominators i.e. for 548,919 is 503612.
Thus, GCF of Fractions is 32/503612.Finally, GCF of Fractions for 3872/548, 1696/919 is 32/503612.