GCF of 7933/996, 8453/3218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7933/996, 8453/3218 i.e 1/1602564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7933/996, 8453/3218.
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 7933/996,8453/3218?
Given fractions are 7933/996,8453/3218
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 7933/996,8453/3218, numerators are 7933,8453
Denominators are 996,3218
The GCF of 7933,8453 is 1 .
LCM of 996,3218 is 1602564.
The greatest common factor of 7933/996,8453/3218 = [GCF of 7933,8453]/[LCM of 996,3218]= 1/1602564
Therefore, the GCF of 7933/996,8453/3218 is 1/1602564.
To find the highest common factor of 7933,8453, we have to find the factors of both numbers and list the highest common factor.
The factors of 7933 are 1, 7933
The factors of 8453 are 1, 79, 107, 8453
The HCF of 7933,8453 is 1.
Lets's calculate GCF of 7933,8453
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7933,8453 By Matching Biggest Common Factor Method
Now, list down the factors of 7933
:1,7933
Now, list down the factors of 8453
:1,79,107,8453
Greatest Common Factor
We found the factors 7933,8453 . The biggest common factor number is the GCF number.
So the greatest common factor 7933,8453 is 1.
Lets's calculate LCM of 996,3218
| 2 | 996, 3218 |
| 498, 1609 |
∴ So the LCM of the given numbers is 2 x 498 x 1609 = 1602564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1602564
Therefore, the GCF of Fractions 7933/996,8453/3218 is 1/1602564
Least Common Multiple of 996,3218 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 996,3218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,3218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(996,3218) x common factors =2 x 1 = 2
LCM(996,3218) = ( 996 × 3218 ) / 2
LCM(996,3218) = 3205128 / 2
LCM(996,3218) = 1602564
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FAQs on GCF of Fractions of 7933/996, 8453/3218
1. What is the HCF of 7933,8453?
The HCF of 7933,8453 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 7933/996, 8453/3218?
Answer: GCF of Numerators as per given numbers 7933/996, 8453/3218 is
GCF of Numerators i.e. for 7933,8453 is 1
LCM of denominators i.e. for 996,3218 is 1602564.
Thus, GCF of Fractions is 1/1602564.Finally, GCF of Fractions for 7933/996, 8453/3218 is 1/1602564.