GCF of 6262/584, 6720/4869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6262/584, 6720/4869 i.e 2/2843496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6262/584, 6720/4869.
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 6262/584,6720/4869?
Given fractions are 6262/584,6720/4869
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 6262/584,6720/4869, numerators are 6262,6720
Denominators are 584,4869
The GCF of 6262,6720 is 2 .
LCM of 584,4869 is 2843496.
The greatest common factor of 6262/584,6720/4869 = [GCF of 6262,6720]/[LCM of 584,4869]= 2/2843496
Therefore, the GCF of 6262/584,6720/4869 is 2/2843496.
To find the highest common factor of 6262,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262
The factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720
The HCF of 6262,6720 is 2.
Lets's calculate GCF of 6262,6720
| 2 | 6262, 6720 |
| 3131, 3360 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6262,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 6262
:1,2,31,62,101,202,3131,6262
Now, list down the factors of 6720
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720
Greatest Common Factor
We found the factors 6262,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 6262,6720 is 2.
Lets's calculate LCM of 584,4869
Given numbers has no common factors except 1. So, there LCM is their product i.e 2843496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2843496
Therefore, the GCF of Fractions 6262/584,6720/4869 is 2/2843496
Least Common Multiple of 584,4869 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 584,4869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,4869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,4869) x common factors =1 x 1 = 1
LCM(584,4869) = ( 584 × 4869 ) / 1
LCM(584,4869) = 2843496 / 1
LCM(584,4869) = 2843496
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6262/584, 6720/4869
1. What is the HCF of 6262,6720?
The HCF of 6262,6720 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 6262/584, 6720/4869?
Answer: GCF of Numerators as per given numbers 6262/584, 6720/4869 is
GCF of Numerators i.e. for 6262,6720 is 2
LCM of denominators i.e. for 584,4869 is 2843496.
Thus, GCF of Fractions is 2/2843496.Finally, GCF of Fractions for 6262/584, 6720/4869 is 2/2843496.