GCF of 8512/499, 9134/4995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8512/499, 9134/4995 i.e 2/2492505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8512/499, 9134/4995.
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 8512/499,9134/4995?
Given fractions are 8512/499,9134/4995
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 8512/499,9134/4995, numerators are 8512,9134
Denominators are 499,4995
The GCF of 8512,9134 is 2 .
LCM of 499,4995 is 2492505.
The greatest common factor of 8512/499,9134/4995 = [GCF of 8512,9134]/[LCM of 499,4995]= 2/2492505
Therefore, the GCF of 8512/499,9134/4995 is 2/2492505.
To find the highest common factor of 8512,9134, we have to find the factors of both numbers and list the highest common factor.
The factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512
The factors of 9134 are 1, 2, 4567, 9134
The HCF of 8512,9134 is 2.
Lets's calculate GCF of 8512,9134
| 2 | 8512, 9134 |
| 4256, 4567 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8512,9134 By Matching Biggest Common Factor Method
Now, list down the factors of 8512
:1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512
Now, list down the factors of 9134
:1,2,4567,9134
Greatest Common Factor
We found the factors 8512,9134 . The biggest common factor number is the GCF number.
So the greatest common factor 8512,9134 is 2.
Lets's calculate LCM of 499,4995
Given numbers has no common factors except 1. So, there LCM is their product i.e 2492505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2492505
Therefore, the GCF of Fractions 8512/499,9134/4995 is 2/2492505
Least Common Multiple of 499,4995 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 499,4995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,4995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,4995) x common factors =1 x 1 = 1
LCM(499,4995) = ( 499 × 4995 ) / 1
LCM(499,4995) = 2492505 / 1
LCM(499,4995) = 2492505
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FAQs on GCF of Fractions of 8512/499, 9134/4995
1. What is the HCF of 8512,9134?
The HCF of 8512,9134 is 2
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 8512/499, 9134/4995?
Answer: GCF of Numerators as per given numbers 8512/499, 9134/4995 is
GCF of Numerators i.e. for 8512,9134 is 2
LCM of denominators i.e. for 499,4995 is 2492505.
Thus, GCF of Fractions is 2/2492505.Finally, GCF of Fractions for 8512/499, 9134/4995 is 2/2492505.