GCF of 1865/492, 6449/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1865/492, 6449/126 i.e 1/10332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1865/492, 6449/126.
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 1865/492,6449/126?
Given fractions are 1865/492,6449/126
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 1865/492,6449/126, numerators are 1865,6449
Denominators are 492,126
The GCF of 1865,6449 is 1 .
LCM of 492,126 is 10332.
The greatest common factor of 1865/492,6449/126 = [GCF of 1865,6449]/[LCM of 492,126]= 1/10332
Therefore, the GCF of 1865/492,6449/126 is 1/10332.
To find the highest common factor of 1865,6449, we have to find the factors of both numbers and list the highest common factor.
The factors of 1865 are 1, 5, 373, 1865
The factors of 6449 are 1, 6449
The HCF of 1865,6449 is 1.
Lets's calculate GCF of 1865,6449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1865,6449 By Matching Biggest Common Factor Method
Now, list down the factors of 1865
:1,5,373,1865
Now, list down the factors of 6449
:1,6449
Greatest Common Factor
We found the factors 1865,6449 . The biggest common factor number is the GCF number.
So the greatest common factor 1865,6449 is 1.
Lets's calculate LCM of 492,126
| 2 | 492, 126 |
| 3 | 246, 63 |
| 82, 21 |
∴ So the LCM of the given numbers is 2 x 3 x 82 x 21 = 10332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10332
Therefore, the GCF of Fractions 1865/492,6449/126 is 1/10332
Least Common Multiple of 492,126 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 492,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,126) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(492,126) x common factors =6 x 1 = 6
LCM(492,126) = ( 492 × 126 ) / 6
LCM(492,126) = 61992 / 6
LCM(492,126) = 10332
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FAQs on GCF of Fractions of 1865/492, 6449/126
1. What is the HCF of 1865,6449?
The HCF of 1865,6449 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 1865/492, 6449/126?
Answer: GCF of Numerators as per given numbers 1865/492, 6449/126 is
GCF of Numerators i.e. for 1865,6449 is 1
LCM of denominators i.e. for 492,126 is 10332.
Thus, GCF of Fractions is 1/10332.Finally, GCF of Fractions for 1865/492, 6449/126 is 1/10332.