GCF of 4782/532, 2378/1107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4782/532, 2378/1107 i.e 2/588924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4782/532, 2378/1107.
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 4782/532,2378/1107?
Given fractions are 4782/532,2378/1107
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 4782/532,2378/1107, numerators are 4782,2378
Denominators are 532,1107
The GCF of 4782,2378 is 2 .
LCM of 532,1107 is 588924.
The greatest common factor of 4782/532,2378/1107 = [GCF of 4782,2378]/[LCM of 532,1107]= 2/588924
Therefore, the GCF of 4782/532,2378/1107 is 2/588924.
To find the highest common factor of 4782,2378, we have to find the factors of both numbers and list the highest common factor.
The factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The HCF of 4782,2378 is 2.
Lets's calculate GCF of 4782,2378
| 2 | 4782, 2378 |
| 2391, 1189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4782,2378 By Matching Biggest Common Factor Method
Now, list down the factors of 4782
:1,2,3,6,797,1594,2391,4782
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Greatest Common Factor
We found the factors 4782,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 4782,2378 is 2.
Lets's calculate LCM of 532,1107
Given numbers has no common factors except 1. So, there LCM is their product i.e 588924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/588924
Therefore, the GCF of Fractions 4782/532,2378/1107 is 2/588924
Least Common Multiple of 532,1107 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 532,1107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,1107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,1107) x common factors =1 x 1 = 1
LCM(532,1107) = ( 532 × 1107 ) / 1
LCM(532,1107) = 588924 / 1
LCM(532,1107) = 588924
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FAQs on GCF of Fractions of 4782/532, 2378/1107
1. What is the HCF of 4782,2378?
The HCF of 4782,2378 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 4782/532, 2378/1107?
Answer: GCF of Numerators as per given numbers 4782/532, 2378/1107 is
GCF of Numerators i.e. for 4782,2378 is 2
LCM of denominators i.e. for 532,1107 is 588924.
Thus, GCF of Fractions is 2/588924.Finally, GCF of Fractions for 4782/532, 2378/1107 is 2/588924.