GCF of 4038/476, 1690/4628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4038/476, 1690/4628 i.e 2/550732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4038/476, 1690/4628.
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 4038/476,1690/4628?
Given fractions are 4038/476,1690/4628
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 4038/476,1690/4628, numerators are 4038,1690
Denominators are 476,4628
The GCF of 4038,1690 is 2 .
LCM of 476,4628 is 550732.
The greatest common factor of 4038/476,1690/4628 = [GCF of 4038,1690]/[LCM of 476,4628]= 2/550732
Therefore, the GCF of 4038/476,1690/4628 is 2/550732.
To find the highest common factor of 4038,1690, we have to find the factors of both numbers and list the highest common factor.
The factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038
The factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690
The HCF of 4038,1690 is 2.
Lets's calculate GCF of 4038,1690
| 2 | 4038, 1690 |
| 2019, 845 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4038,1690 By Matching Biggest Common Factor Method
Now, list down the factors of 4038
:1,2,3,6,673,1346,2019,4038
Now, list down the factors of 1690
:1,2,5,10,13,26,65,130,169,338,845,1690
Greatest Common Factor
We found the factors 4038,1690 . The biggest common factor number is the GCF number.
So the greatest common factor 4038,1690 is 2.
Lets's calculate LCM of 476,4628
| 2 | 476, 4628 |
| 2 | 238, 2314 |
| 119, 1157 |
∴ So the LCM of the given numbers is 2 x 2 x 119 x 1157 = 550732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/550732
Therefore, the GCF of Fractions 4038/476,1690/4628 is 2/550732
Least Common Multiple of 476,4628 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 476,4628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,4628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(476,4628) x common factors =4 x 1 = 4
LCM(476,4628) = ( 476 × 4628 ) / 4
LCM(476,4628) = 2202928 / 4
LCM(476,4628) = 550732
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FAQs on GCF of Fractions of 4038/476, 1690/4628
1. What is the HCF of 4038,1690?
The HCF of 4038,1690 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 4038/476, 1690/4628?
Answer: GCF of Numerators as per given numbers 4038/476, 1690/4628 is
GCF of Numerators i.e. for 4038,1690 is 2
LCM of denominators i.e. for 476,4628 is 550732.
Thus, GCF of Fractions is 2/550732.Finally, GCF of Fractions for 4038/476, 1690/4628 is 2/550732.