GCF of 4346/617, 7920/243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4346/617, 7920/243 i.e 2/149931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4346/617, 7920/243.
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 4346/617,7920/243?
Given fractions are 4346/617,7920/243
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 4346/617,7920/243, numerators are 4346,7920
Denominators are 617,243
The GCF of 4346,7920 is 2 .
LCM of 617,243 is 149931.
The greatest common factor of 4346/617,7920/243 = [GCF of 4346,7920]/[LCM of 617,243]= 2/149931
Therefore, the GCF of 4346/617,7920/243 is 2/149931.
To find the highest common factor of 4346,7920, we have to find the factors of both numbers and list the highest common factor.
The factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346
The factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920
The HCF of 4346,7920 is 2.
Lets's calculate GCF of 4346,7920
| 2 | 4346, 7920 |
| 2173, 3960 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4346,7920 By Matching Biggest Common Factor Method
Now, list down the factors of 4346
:1,2,41,53,82,106,2173,4346
Now, list down the factors of 7920
:1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920
Greatest Common Factor
We found the factors 4346,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 4346,7920 is 2.
Lets's calculate LCM of 617,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 149931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149931
Therefore, the GCF of Fractions 4346/617,7920/243 is 2/149931
Least Common Multiple of 617,243 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 617,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,243) x common factors =1 x 1 = 1
LCM(617,243) = ( 617 × 243 ) / 1
LCM(617,243) = 149931 / 1
LCM(617,243) = 149931
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FAQs on GCF of Fractions of 4346/617, 7920/243
1. What is the HCF of 4346,7920?
The HCF of 4346,7920 is 2
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 4346/617, 7920/243?
Answer: GCF of Numerators as per given numbers 4346/617, 7920/243 is
GCF of Numerators i.e. for 4346,7920 is 2
LCM of denominators i.e. for 617,243 is 149931.
Thus, GCF of Fractions is 2/149931.Finally, GCF of Fractions for 4346/617, 7920/243 is 2/149931.