GCF of 4757/456, 4824/2213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4757/456, 4824/2213 i.e 67/1009128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4757/456, 4824/2213.
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 4757/456,4824/2213?
Given fractions are 4757/456,4824/2213
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 4757/456,4824/2213, numerators are 4757,4824
Denominators are 456,2213
The GCF of 4757,4824 is 67 .
LCM of 456,2213 is 1009128.
The greatest common factor of 4757/456,4824/2213 = [GCF of 4757,4824]/[LCM of 456,2213]= 67/1009128
Therefore, the GCF of 4757/456,4824/2213 is 67/1009128.
To find the highest common factor of 4757,4824, we have to find the factors of both numbers and list the highest common factor.
The factors of 4757 are 1, 67, 71, 4757
The factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824
The HCF of 4757,4824 is 67.
Lets's calculate GCF of 4757,4824
| 67 | 4757, 4824 |
| 71, 72 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 4757,4824 By Matching Biggest Common Factor Method
Now, list down the factors of 4757
:1,67,71,4757
Now, list down the factors of 4824
:1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Greatest Common Factor
We found the factors 4757,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 4757,4824 is 67.
Lets's calculate LCM of 456,2213
Given numbers has no common factors except 1. So, there LCM is their product i.e 1009128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/1009128
Therefore, the GCF of Fractions 4757/456,4824/2213 is 67/1009128
Least Common Multiple of 456,2213 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 456,2213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,2213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(456,2213) x common factors =1 x 1 = 1
LCM(456,2213) = ( 456 × 2213 ) / 1
LCM(456,2213) = 1009128 / 1
LCM(456,2213) = 1009128
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FAQs on GCF of Fractions of 4757/456, 4824/2213
1. What is the HCF of 4757,4824?
The HCF of 4757,4824 is 67
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 4757/456, 4824/2213?
Answer: GCF of Numerators as per given numbers 4757/456, 4824/2213 is
GCF of Numerators i.e. for 4757,4824 is 67
LCM of denominators i.e. for 456,2213 is 1009128.
Thus, GCF of Fractions is 67/1009128.Finally, GCF of Fractions for 4757/456, 4824/2213 is 67/1009128.