GCF of 5592/770, 2288/4536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5592/770, 2288/4536 i.e 8/249480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5592/770, 2288/4536.
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 5592/770,2288/4536?
Given fractions are 5592/770,2288/4536
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 5592/770,2288/4536, numerators are 5592,2288
Denominators are 770,4536
The GCF of 5592,2288 is 8 .
LCM of 770,4536 is 249480.
The greatest common factor of 5592/770,2288/4536 = [GCF of 5592,2288]/[LCM of 770,4536]= 8/249480
Therefore, the GCF of 5592/770,2288/4536 is 8/249480.
To find the highest common factor of 5592,2288, we have to find the factors of both numbers and list the highest common factor.
The factors of 5592 are 1, 2, 3, 4, 6, 8, 12, 24, 233, 466, 699, 932, 1398, 1864, 2796, 5592
The factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288
The HCF of 5592,2288 is 8.
Lets's calculate GCF of 5592,2288
| 2 | 5592, 2288 |
| 2 | 2796, 1144 |
| 2 | 1398, 572 |
| 699, 286 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5592,2288 By Matching Biggest Common Factor Method
Now, list down the factors of 5592
:1,2,3,4,6,8,12,24,233,466,699,932,1398,1864,2796,5592
Now, list down the factors of 2288
:1,2,4,8,11,13,16,22,26,44,52,88,104,143,176,208,286,572,1144,2288
Greatest Common Factor
We found the factors 5592,2288 . The biggest common factor number is the GCF number.
So the greatest common factor 5592,2288 is 8.
Lets's calculate LCM of 770,4536
| 2 | 770, 4536 |
| 7 | 385, 2268 |
| 55, 324 |
∴ So the LCM of the given numbers is 2 x 7 x 55 x 324 = 249480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/249480
Therefore, the GCF of Fractions 5592/770,2288/4536 is 8/249480
Least Common Multiple of 770,4536 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 770,4536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,4536) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(770,4536) x common factors =14 x 1 = 14
LCM(770,4536) = ( 770 × 4536 ) / 14
LCM(770,4536) = 3492720 / 14
LCM(770,4536) = 249480
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5592/770, 2288/4536
1. What is the HCF of 5592,2288?
The HCF of 5592,2288 is 8
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 5592/770, 2288/4536?
Answer: GCF of Numerators as per given numbers 5592/770, 2288/4536 is
GCF of Numerators i.e. for 5592,2288 is 8
LCM of denominators i.e. for 770,4536 is 249480.
Thus, GCF of Fractions is 8/249480.Finally, GCF of Fractions for 5592/770, 2288/4536 is 8/249480.