GCF of 368/871, 1920/6098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 368/871, 1920/6098 i.e 16/5311358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/871, 1920/6098.
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 368/871,1920/6098?
Given fractions are 368/871,1920/6098
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 368/871,1920/6098, numerators are 368,1920
Denominators are 871,6098
The GCF of 368,1920 is 16 .
LCM of 871,6098 is 5311358.
The greatest common factor of 368/871,1920/6098 = [GCF of 368,1920]/[LCM of 871,6098]= 16/5311358
Therefore, the GCF of 368/871,1920/6098 is 16/5311358.
To find the highest common factor of 368,1920, we have to find the factors of both numbers and list the highest common factor.
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920
The HCF of 368,1920 is 16.
Lets's calculate GCF of 368,1920
| 2 | 368, 1920 |
| 2 | 184, 960 |
| 2 | 92, 480 |
| 2 | 46, 240 |
| 23, 120 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 368,1920 By Matching Biggest Common Factor Method
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Now, list down the factors of 1920
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,320,384,480,640,960,1920
Greatest Common Factor
We found the factors 368,1920 . The biggest common factor number is the GCF number.
So the greatest common factor 368,1920 is 16.
Lets's calculate LCM of 871,6098
Given numbers has no common factors except 1. So, there LCM is their product i.e 5311358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/5311358
Therefore, the GCF of Fractions 368/871,1920/6098 is 16/5311358
Least Common Multiple of 871,6098 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 871,6098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,6098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,6098) x common factors =1 x 1 = 1
LCM(871,6098) = ( 871 × 6098 ) / 1
LCM(871,6098) = 5311358 / 1
LCM(871,6098) = 5311358
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FAQs on GCF of Fractions of 368/871, 1920/6098
1. What is the HCF of 368,1920?
The HCF of 368,1920 is 16
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 368/871, 1920/6098?
Answer: GCF of Numerators as per given numbers 368/871, 1920/6098 is
GCF of Numerators i.e. for 368,1920 is 16
LCM of denominators i.e. for 871,6098 is 5311358.
Thus, GCF of Fractions is 16/5311358.Finally, GCF of Fractions for 368/871, 1920/6098 is 16/5311358.