GCF of 5688/542, 4392/4963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5688/542, 4392/4963 i.e 72/2689946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5688/542, 4392/4963.
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 5688/542,4392/4963?
Given fractions are 5688/542,4392/4963
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 5688/542,4392/4963, numerators are 5688,4392
Denominators are 542,4963
The GCF of 5688,4392 is 72 .
LCM of 542,4963 is 2689946.
The greatest common factor of 5688/542,4392/4963 = [GCF of 5688,4392]/[LCM of 542,4963]= 72/2689946
Therefore, the GCF of 5688/542,4392/4963 is 72/2689946.
To find the highest common factor of 5688,4392, we have to find the factors of both numbers and list the highest common factor.
The factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688
The factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392
The HCF of 5688,4392 is 72.
Lets's calculate GCF of 5688,4392
| 2 | 5688, 4392 |
| 2 | 2844, 2196 |
| 2 | 1422, 1098 |
| 3 | 711, 549 |
| 3 | 237, 183 |
| 79, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Greatest Common Factor of 5688,4392 By Matching Biggest Common Factor Method
Now, list down the factors of 5688
:1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Now, list down the factors of 4392
:1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Greatest Common Factor
We found the factors 5688,4392 . The biggest common factor number is the GCF number.
So the greatest common factor 5688,4392 is 72.
Lets's calculate LCM of 542,4963
Given numbers has no common factors except 1. So, there LCM is their product i.e 2689946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/2689946
Therefore, the GCF of Fractions 5688/542,4392/4963 is 72/2689946
Least Common Multiple of 542,4963 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 542,4963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,4963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,4963) x common factors =1 x 1 = 1
LCM(542,4963) = ( 542 × 4963 ) / 1
LCM(542,4963) = 2689946 / 1
LCM(542,4963) = 2689946
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5688/542, 4392/4963
1. What is the HCF of 5688,4392?
The HCF of 5688,4392 is 72
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 5688/542, 4392/4963?
Answer: GCF of Numerators as per given numbers 5688/542, 4392/4963 is
GCF of Numerators i.e. for 5688,4392 is 72
LCM of denominators i.e. for 542,4963 is 2689946.
Thus, GCF of Fractions is 72/2689946.Finally, GCF of Fractions for 5688/542, 4392/4963 is 72/2689946.