GCF of 9749/492, 1646/383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9749/492, 1646/383 i.e 1/188436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9749/492, 1646/383.
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 9749/492,1646/383?
Given fractions are 9749/492,1646/383
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 9749/492,1646/383, numerators are 9749,1646
Denominators are 492,383
The GCF of 9749,1646 is 1 .
LCM of 492,383 is 188436.
The greatest common factor of 9749/492,1646/383 = [GCF of 9749,1646]/[LCM of 492,383]= 1/188436
Therefore, the GCF of 9749/492,1646/383 is 1/188436.
To find the highest common factor of 9749,1646, we have to find the factors of both numbers and list the highest common factor.
The factors of 9749 are 1, 9749
The factors of 1646 are 1, 2, 823, 1646
The HCF of 9749,1646 is 1.
Lets's calculate GCF of 9749,1646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9749,1646 By Matching Biggest Common Factor Method
Now, list down the factors of 9749
:1,9749
Now, list down the factors of 1646
:1,2,823,1646
Greatest Common Factor
We found the factors 9749,1646 . The biggest common factor number is the GCF number.
So the greatest common factor 9749,1646 is 1.
Lets's calculate LCM of 492,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 188436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188436
Therefore, the GCF of Fractions 9749/492,1646/383 is 1/188436
Least Common Multiple of 492,383 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 492,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(492,383) x common factors =1 x 1 = 1
LCM(492,383) = ( 492 × 383 ) / 1
LCM(492,383) = 188436 / 1
LCM(492,383) = 188436
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9749/492, 1646/383
1. What is the HCF of 9749,1646?
The HCF of 9749,1646 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 9749/492, 1646/383?
Answer: GCF of Numerators as per given numbers 9749/492, 1646/383 is
GCF of Numerators i.e. for 9749,1646 is 1
LCM of denominators i.e. for 492,383 is 188436.
Thus, GCF of Fractions is 1/188436.Finally, GCF of Fractions for 9749/492, 1646/383 is 1/188436.