GCF of 8946/499, 6403/3769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8946/499, 6403/3769 i.e 1/1880731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8946/499, 6403/3769.
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 8946/499,6403/3769?
Given fractions are 8946/499,6403/3769
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 8946/499,6403/3769, numerators are 8946,6403
Denominators are 499,3769
The GCF of 8946,6403 is 1 .
LCM of 499,3769 is 1880731.
The greatest common factor of 8946/499,6403/3769 = [GCF of 8946,6403]/[LCM of 499,3769]= 1/1880731
Therefore, the GCF of 8946/499,6403/3769 is 1/1880731.
To find the highest common factor of 8946,6403, we have to find the factors of both numbers and list the highest common factor.
The factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946
The factors of 6403 are 1, 19, 337, 6403
The HCF of 8946,6403 is 1.
Lets's calculate GCF of 8946,6403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8946,6403 By Matching Biggest Common Factor Method
Now, list down the factors of 8946
:1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946
Now, list down the factors of 6403
:1,19,337,6403
Greatest Common Factor
We found the factors 8946,6403 . The biggest common factor number is the GCF number.
So the greatest common factor 8946,6403 is 1.
Lets's calculate LCM of 499,3769
Given numbers has no common factors except 1. So, there LCM is their product i.e 1880731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1880731
Therefore, the GCF of Fractions 8946/499,6403/3769 is 1/1880731
Least Common Multiple of 499,3769 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 499,3769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,3769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,3769) x common factors =1 x 1 = 1
LCM(499,3769) = ( 499 × 3769 ) / 1
LCM(499,3769) = 1880731 / 1
LCM(499,3769) = 1880731
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FAQs on GCF of Fractions of 8946/499, 6403/3769
1. What is the HCF of 8946,6403?
The HCF of 8946,6403 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 8946/499, 6403/3769?
Answer: GCF of Numerators as per given numbers 8946/499, 6403/3769 is
GCF of Numerators i.e. for 8946,6403 is 1
LCM of denominators i.e. for 499,3769 is 1880731.
Thus, GCF of Fractions is 1/1880731.Finally, GCF of Fractions for 8946/499, 6403/3769 is 1/1880731.