GCF of 4650/513, 1912/882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4650/513, 1912/882 i.e 2/50274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4650/513, 1912/882.
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 4650/513,1912/882?
Given fractions are 4650/513,1912/882
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 4650/513,1912/882, numerators are 4650,1912
Denominators are 513,882
The GCF of 4650,1912 is 2 .
LCM of 513,882 is 50274.
The greatest common factor of 4650/513,1912/882 = [GCF of 4650,1912]/[LCM of 513,882]= 2/50274
Therefore, the GCF of 4650/513,1912/882 is 2/50274.
To find the highest common factor of 4650,1912, we have to find the factors of both numbers and list the highest common factor.
The factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650
The factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912
The HCF of 4650,1912 is 2.
Lets's calculate GCF of 4650,1912
| 2 | 4650, 1912 |
| 2325, 956 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4650,1912 By Matching Biggest Common Factor Method
Now, list down the factors of 4650
:1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650
Now, list down the factors of 1912
:1,2,4,8,239,478,956,1912
Greatest Common Factor
We found the factors 4650,1912 . The biggest common factor number is the GCF number.
So the greatest common factor 4650,1912 is 2.
Lets's calculate LCM of 513,882
| 3 | 513, 882 |
| 3 | 171, 294 |
| 57, 98 |
∴ So the LCM of the given numbers is 3 x 3 x 57 x 98 = 50274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50274
Therefore, the GCF of Fractions 4650/513,1912/882 is 2/50274
Least Common Multiple of 513,882 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 513,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,882) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(513,882) x common factors =9 x 1 = 9
LCM(513,882) = ( 513 × 882 ) / 9
LCM(513,882) = 452466 / 9
LCM(513,882) = 50274
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FAQs on GCF of Fractions of 4650/513, 1912/882
1. What is the HCF of 4650,1912?
The HCF of 4650,1912 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 4650/513, 1912/882?
Answer: GCF of Numerators as per given numbers 4650/513, 1912/882 is
GCF of Numerators i.e. for 4650,1912 is 2
LCM of denominators i.e. for 513,882 is 50274.
Thus, GCF of Fractions is 2/50274.Finally, GCF of Fractions for 4650/513, 1912/882 is 2/50274.