GCF of 3485/863, 6426/432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3485/863, 6426/432 i.e 17/372816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3485/863, 6426/432.
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 3485/863,6426/432?
Given fractions are 3485/863,6426/432
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 3485/863,6426/432, numerators are 3485,6426
Denominators are 863,432
The GCF of 3485,6426 is 17 .
LCM of 863,432 is 372816.
The greatest common factor of 3485/863,6426/432 = [GCF of 3485,6426]/[LCM of 863,432]= 17/372816
Therefore, the GCF of 3485/863,6426/432 is 17/372816.
To find the highest common factor of 3485,6426, we have to find the factors of both numbers and list the highest common factor.
The factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426
The HCF of 3485,6426 is 17.
Lets's calculate GCF of 3485,6426
| 17 | 3485, 6426 |
| 205, 378 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 3485,6426 By Matching Biggest Common Factor Method
Now, list down the factors of 3485
:1,5,17,41,85,205,697,3485
Now, list down the factors of 6426
:1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426
Greatest Common Factor
We found the factors 3485,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 3485,6426 is 17.
Lets's calculate LCM of 863,432
Given numbers has no common factors except 1. So, there LCM is their product i.e 372816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/372816
Therefore, the GCF of Fractions 3485/863,6426/432 is 17/372816
Least Common Multiple of 863,432 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 863,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,432) x common factors =1 x 1 = 1
LCM(863,432) = ( 863 × 432 ) / 1
LCM(863,432) = 372816 / 1
LCM(863,432) = 372816
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FAQs on GCF of Fractions of 3485/863, 6426/432
1. What is the HCF of 3485,6426?
The HCF of 3485,6426 is 17
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 3485/863, 6426/432?
Answer: GCF of Numerators as per given numbers 3485/863, 6426/432 is
GCF of Numerators i.e. for 3485,6426 is 17
LCM of denominators i.e. for 863,432 is 372816.
Thus, GCF of Fractions is 17/372816.Finally, GCF of Fractions for 3485/863, 6426/432 is 17/372816.