GCF of 3498/762, 6486/563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3498/762, 6486/563 i.e 6/429006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3498/762, 6486/563.
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 3498/762,6486/563?
Given fractions are 3498/762,6486/563
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 3498/762,6486/563, numerators are 3498,6486
Denominators are 762,563
The GCF of 3498,6486 is 6 .
LCM of 762,563 is 429006.
The greatest common factor of 3498/762,6486/563 = [GCF of 3498,6486]/[LCM of 762,563]= 6/429006
Therefore, the GCF of 3498/762,6486/563 is 6/429006.
To find the highest common factor of 3498,6486, we have to find the factors of both numbers and list the highest common factor.
The factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498
The factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486
The HCF of 3498,6486 is 6.
Lets's calculate GCF of 3498,6486
| 2 | 3498, 6486 |
| 3 | 1749, 3243 |
| 583, 1081 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3498,6486 By Matching Biggest Common Factor Method
Now, list down the factors of 3498
:1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Now, list down the factors of 6486
:1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486
Greatest Common Factor
We found the factors 3498,6486 . The biggest common factor number is the GCF number.
So the greatest common factor 3498,6486 is 6.
Lets's calculate LCM of 762,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 429006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/429006
Therefore, the GCF of Fractions 3498/762,6486/563 is 6/429006
Least Common Multiple of 762,563 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 762,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,563) x common factors =1 x 1 = 1
LCM(762,563) = ( 762 × 563 ) / 1
LCM(762,563) = 429006 / 1
LCM(762,563) = 429006
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FAQs on GCF of Fractions of 3498/762, 6486/563
1. What is the HCF of 3498,6486?
The HCF of 3498,6486 is 6
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 3498/762, 6486/563?
Answer: GCF of Numerators as per given numbers 3498/762, 6486/563 is
GCF of Numerators i.e. for 3498,6486 is 6
LCM of denominators i.e. for 762,563 is 429006.
Thus, GCF of Fractions is 6/429006.Finally, GCF of Fractions for 3498/762, 6486/563 is 6/429006.