GCF of 2124/512, 4673/7014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2124/512, 4673/7014 i.e 1/1795584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2124/512, 4673/7014.
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 2124/512,4673/7014?
Given fractions are 2124/512,4673/7014
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 2124/512,4673/7014, numerators are 2124,4673
Denominators are 512,7014
The GCF of 2124,4673 is 1 .
LCM of 512,7014 is 1795584.
The greatest common factor of 2124/512,4673/7014 = [GCF of 2124,4673]/[LCM of 512,7014]= 1/1795584
Therefore, the GCF of 2124/512,4673/7014 is 1/1795584.
To find the highest common factor of 2124,4673, we have to find the factors of both numbers and list the highest common factor.
The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124
The factors of 4673 are 1, 4673
The HCF of 2124,4673 is 1.
Lets's calculate GCF of 2124,4673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2124,4673 By Matching Biggest Common Factor Method
Now, list down the factors of 2124
:1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Now, list down the factors of 4673
:1,4673
Greatest Common Factor
We found the factors 2124,4673 . The biggest common factor number is the GCF number.
So the greatest common factor 2124,4673 is 1.
Lets's calculate LCM of 512,7014
| 2 | 512, 7014 |
| 256, 3507 |
∴ So the LCM of the given numbers is 2 x 256 x 3507 = 1795584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1795584
Therefore, the GCF of Fractions 2124/512,4673/7014 is 1/1795584
Least Common Multiple of 512,7014 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 512,7014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,7014) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,7014) x common factors =2 x 1 = 2
LCM(512,7014) = ( 512 × 7014 ) / 2
LCM(512,7014) = 3591168 / 2
LCM(512,7014) = 1795584
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FAQs on GCF of Fractions of 2124/512, 4673/7014
1. What is the HCF of 2124,4673?
The HCF of 2124,4673 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 2124/512, 4673/7014?
Answer: GCF of Numerators as per given numbers 2124/512, 4673/7014 is
GCF of Numerators i.e. for 2124,4673 is 1
LCM of denominators i.e. for 512,7014 is 1795584.
Thus, GCF of Fractions is 1/1795584.Finally, GCF of Fractions for 2124/512, 4673/7014 is 1/1795584.