GCF of 1132/594, 4760/6552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1132/594, 4760/6552 i.e 4/216216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1132/594, 4760/6552.
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 1132/594,4760/6552?
Given fractions are 1132/594,4760/6552
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 1132/594,4760/6552, numerators are 1132,4760
Denominators are 594,6552
The GCF of 1132,4760 is 4 .
LCM of 594,6552 is 216216.
The greatest common factor of 1132/594,4760/6552 = [GCF of 1132,4760]/[LCM of 594,6552]= 4/216216
Therefore, the GCF of 1132/594,4760/6552 is 4/216216.
To find the highest common factor of 1132,4760, we have to find the factors of both numbers and list the highest common factor.
The factors of 1132 are 1, 2, 4, 283, 566, 1132
The factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760
The HCF of 1132,4760 is 4.
Lets's calculate GCF of 1132,4760
| 2 | 1132, 4760 |
| 2 | 566, 2380 |
| 283, 1190 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1132,4760 By Matching Biggest Common Factor Method
Now, list down the factors of 1132
:1,2,4,283,566,1132
Now, list down the factors of 4760
:1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760
Greatest Common Factor
We found the factors 1132,4760 . The biggest common factor number is the GCF number.
So the greatest common factor 1132,4760 is 4.
Lets's calculate LCM of 594,6552
| 2 | 594, 6552 |
| 3 | 297, 3276 |
| 3 | 99, 1092 |
| 33, 364 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 33 x 364 = 216216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/216216
Therefore, the GCF of Fractions 1132/594,4760/6552 is 4/216216
Least Common Multiple of 594,6552 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 594,6552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,6552) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(594,6552) x common factors =18 x 1 = 18
LCM(594,6552) = ( 594 × 6552 ) / 18
LCM(594,6552) = 3891888 / 18
LCM(594,6552) = 216216
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1132/594, 4760/6552
1. What is the HCF of 1132,4760?
The HCF of 1132,4760 is 4
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 1132/594, 4760/6552?
Answer: GCF of Numerators as per given numbers 1132/594, 4760/6552 is
GCF of Numerators i.e. for 1132,4760 is 4
LCM of denominators i.e. for 594,6552 is 216216.
Thus, GCF of Fractions is 4/216216.Finally, GCF of Fractions for 1132/594, 4760/6552 is 4/216216.