GCF of 3124/622, 4757/4018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3124/622, 4757/4018 i.e 71/1249598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3124/622, 4757/4018.
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 3124/622,4757/4018?
Given fractions are 3124/622,4757/4018
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 3124/622,4757/4018, numerators are 3124,4757
Denominators are 622,4018
The GCF of 3124,4757 is 71 .
LCM of 622,4018 is 1249598.
The greatest common factor of 3124/622,4757/4018 = [GCF of 3124,4757]/[LCM of 622,4018]= 71/1249598
Therefore, the GCF of 3124/622,4757/4018 is 71/1249598.
To find the highest common factor of 3124,4757, we have to find the factors of both numbers and list the highest common factor.
The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124
The factors of 4757 are 1, 67, 71, 4757
The HCF of 3124,4757 is 71.
Lets's calculate GCF of 3124,4757
| 71 | 3124, 4757 |
| 44, 67 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 3124,4757 By Matching Biggest Common Factor Method
Now, list down the factors of 3124
:1,2,4,11,22,44,71,142,284,781,1562,3124
Now, list down the factors of 4757
:1,67,71,4757
Greatest Common Factor
We found the factors 3124,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 3124,4757 is 71.
Lets's calculate LCM of 622,4018
| 2 | 622, 4018 |
| 311, 2009 |
∴ So the LCM of the given numbers is 2 x 311 x 2009 = 1249598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/1249598
Therefore, the GCF of Fractions 3124/622,4757/4018 is 71/1249598
Least Common Multiple of 622,4018 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 622,4018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,4018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,4018) x common factors =2 x 1 = 2
LCM(622,4018) = ( 622 × 4018 ) / 2
LCM(622,4018) = 2499196 / 2
LCM(622,4018) = 1249598
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FAQs on GCF of Fractions of 3124/622, 4757/4018
1. What is the HCF of 3124,4757?
The HCF of 3124,4757 is 71
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 3124/622, 4757/4018?
Answer: GCF of Numerators as per given numbers 3124/622, 4757/4018 is
GCF of Numerators i.e. for 3124,4757 is 71
LCM of denominators i.e. for 622,4018 is 1249598.
Thus, GCF of Fractions is 71/1249598.Finally, GCF of Fractions for 3124/622, 4757/4018 is 71/1249598.