GCF of 6234/410, 3835/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6234/410, 3835/574 i.e 1/2870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6234/410, 3835/574.
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 6234/410,3835/574?
Given fractions are 6234/410,3835/574
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 6234/410,3835/574, numerators are 6234,3835
Denominators are 410,574
The GCF of 6234,3835 is 1 .
LCM of 410,574 is 2870.
The greatest common factor of 6234/410,3835/574 = [GCF of 6234,3835]/[LCM of 410,574]= 1/2870
Therefore, the GCF of 6234/410,3835/574 is 1/2870.
To find the highest common factor of 6234,3835, we have to find the factors of both numbers and list the highest common factor.
The factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234
The factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835
The HCF of 6234,3835 is 1.
Lets's calculate GCF of 6234,3835
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6234,3835 By Matching Biggest Common Factor Method
Now, list down the factors of 6234
:1,2,3,6,1039,2078,3117,6234
Now, list down the factors of 3835
:1,5,13,59,65,295,767,3835
Greatest Common Factor
We found the factors 6234,3835 . The biggest common factor number is the GCF number.
So the greatest common factor 6234,3835 is 1.
Lets's calculate LCM of 410,574
| 2 | 410, 574 |
| 41 | 205, 287 |
| 5, 7 |
∴ So the LCM of the given numbers is 2 x 41 x 5 x 7 = 2870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2870
Therefore, the GCF of Fractions 6234/410,3835/574 is 1/2870
Least Common Multiple of 410,574 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 410,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,574) = 82
common factors(in case of two or more numbers have common factors) = 1
GCF(410,574) x common factors =82 x 1 = 82
LCM(410,574) = ( 410 × 574 ) / 82
LCM(410,574) = 235340 / 82
LCM(410,574) = 2870
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FAQs on GCF of Fractions of 6234/410, 3835/574
1. What is the HCF of 6234,3835?
The HCF of 6234,3835 is 1
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 6234/410, 3835/574?
Answer: GCF of Numerators as per given numbers 6234/410, 3835/574 is
GCF of Numerators i.e. for 6234,3835 is 1
LCM of denominators i.e. for 410,574 is 2870.
Thus, GCF of Fractions is 1/2870.Finally, GCF of Fractions for 6234/410, 3835/574 is 1/2870.