GCF of 2648/602, 1667/1704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2648/602, 1667/1704 i.e 1/512904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2648/602, 1667/1704.
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 2648/602,1667/1704?
Given fractions are 2648/602,1667/1704
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 2648/602,1667/1704, numerators are 2648,1667
Denominators are 602,1704
The GCF of 2648,1667 is 1 .
LCM of 602,1704 is 512904.
The greatest common factor of 2648/602,1667/1704 = [GCF of 2648,1667]/[LCM of 602,1704]= 1/512904
Therefore, the GCF of 2648/602,1667/1704 is 1/512904.
To find the highest common factor of 2648,1667, we have to find the factors of both numbers and list the highest common factor.
The factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648
The factors of 1667 are 1, 1667
The HCF of 2648,1667 is 1.
Lets's calculate GCF of 2648,1667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2648,1667 By Matching Biggest Common Factor Method
Now, list down the factors of 2648
:1,2,4,8,331,662,1324,2648
Now, list down the factors of 1667
:1,1667
Greatest Common Factor
We found the factors 2648,1667 . The biggest common factor number is the GCF number.
So the greatest common factor 2648,1667 is 1.
Lets's calculate LCM of 602,1704
| 2 | 602, 1704 |
| 301, 852 |
∴ So the LCM of the given numbers is 2 x 301 x 852 = 512904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512904
Therefore, the GCF of Fractions 2648/602,1667/1704 is 1/512904
Least Common Multiple of 602,1704 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 602,1704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,1704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,1704) x common factors =2 x 1 = 2
LCM(602,1704) = ( 602 × 1704 ) / 2
LCM(602,1704) = 1025808 / 2
LCM(602,1704) = 512904
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FAQs on GCF of Fractions of 2648/602, 1667/1704
1. What is the HCF of 2648,1667?
The HCF of 2648,1667 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 2648/602, 1667/1704?
Answer: GCF of Numerators as per given numbers 2648/602, 1667/1704 is
GCF of Numerators i.e. for 2648,1667 is 1
LCM of denominators i.e. for 602,1704 is 512904.
Thus, GCF of Fractions is 1/512904.Finally, GCF of Fractions for 2648/602, 1667/1704 is 1/512904.