GCF of 1962/429, 6486/4698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1962/429, 6486/4698 i.e 6/671814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1962/429, 6486/4698.
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 1962/429,6486/4698?
Given fractions are 1962/429,6486/4698
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 1962/429,6486/4698, numerators are 1962,6486
Denominators are 429,4698
The GCF of 1962,6486 is 6 .
LCM of 429,4698 is 671814.
The greatest common factor of 1962/429,6486/4698 = [GCF of 1962,6486]/[LCM of 429,4698]= 6/671814
Therefore, the GCF of 1962/429,6486/4698 is 6/671814.
To find the highest common factor of 1962,6486, we have to find the factors of both numbers and list the highest common factor.
The factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962
The factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486
The HCF of 1962,6486 is 6.
Lets's calculate GCF of 1962,6486
| 2 | 1962, 6486 |
| 3 | 981, 3243 |
| 327, 1081 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1962,6486 By Matching Biggest Common Factor Method
Now, list down the factors of 1962
:1,2,3,6,9,18,109,218,327,654,981,1962
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 1962,6486 . The biggest common factor number is the GCF number.
So the greatest common factor 1962,6486 is 6.
Lets's calculate LCM of 429,4698
| 3 | 429, 4698 |
| 143, 1566 |
∴ So the LCM of the given numbers is 3 x 143 x 1566 = 671814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/671814
Therefore, the GCF of Fractions 1962/429,6486/4698 is 6/671814
Least Common Multiple of 429,4698 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 429,4698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,4698) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,4698) x common factors =3 x 1 = 3
LCM(429,4698) = ( 429 × 4698 ) / 3
LCM(429,4698) = 2015442 / 3
LCM(429,4698) = 671814
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FAQs on GCF of Fractions of 1962/429, 6486/4698
1. What is the HCF of 1962,6486?
The HCF of 1962,6486 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 1962/429, 6486/4698?
Answer: GCF of Numerators as per given numbers 1962/429, 6486/4698 is
GCF of Numerators i.e. for 1962,6486 is 6
LCM of denominators i.e. for 429,4698 is 671814.
Thus, GCF of Fractions is 6/671814.Finally, GCF of Fractions for 1962/429, 6486/4698 is 6/671814.