GCF of 6738/516, 3486/8850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6738/516, 3486/8850 i.e 6/761100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6738/516, 3486/8850.
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 6738/516,3486/8850?
Given fractions are 6738/516,3486/8850
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 6738/516,3486/8850, numerators are 6738,3486
Denominators are 516,8850
The GCF of 6738,3486 is 6 .
LCM of 516,8850 is 761100.
The greatest common factor of 6738/516,3486/8850 = [GCF of 6738,3486]/[LCM of 516,8850]= 6/761100
Therefore, the GCF of 6738/516,3486/8850 is 6/761100.
To find the highest common factor of 6738,3486, we have to find the factors of both numbers and list the highest common factor.
The factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738
The factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486
The HCF of 6738,3486 is 6.
Lets's calculate GCF of 6738,3486
| 2 | 6738, 3486 |
| 3 | 3369, 1743 |
| 1123, 581 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6738,3486 By Matching Biggest Common Factor Method
Now, list down the factors of 6738
:1,2,3,6,1123,2246,3369,6738
Now, list down the factors of 3486
:1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Greatest Common Factor
We found the factors 6738,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 6738,3486 is 6.
Lets's calculate LCM of 516,8850
| 2 | 516, 8850 |
| 3 | 258, 4425 |
| 86, 1475 |
∴ So the LCM of the given numbers is 2 x 3 x 86 x 1475 = 761100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/761100
Therefore, the GCF of Fractions 6738/516,3486/8850 is 6/761100
Least Common Multiple of 516,8850 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 516,8850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,8850) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(516,8850) x common factors =6 x 1 = 6
LCM(516,8850) = ( 516 × 8850 ) / 6
LCM(516,8850) = 4566600 / 6
LCM(516,8850) = 761100
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FAQs on GCF of Fractions of 6738/516, 3486/8850
1. What is the HCF of 6738,3486?
The HCF of 6738,3486 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 6738/516, 3486/8850?
Answer: GCF of Numerators as per given numbers 6738/516, 3486/8850 is
GCF of Numerators i.e. for 6738,3486 is 6
LCM of denominators i.e. for 516,8850 is 761100.
Thus, GCF of Fractions is 6/761100.Finally, GCF of Fractions for 6738/516, 3486/8850 is 6/761100.