GCF of 4530/706, 2667/2074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4530/706, 2667/2074 i.e 3/732122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4530/706, 2667/2074.
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 4530/706,2667/2074?
Given fractions are 4530/706,2667/2074
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 4530/706,2667/2074, numerators are 4530,2667
Denominators are 706,2074
The GCF of 4530,2667 is 3 .
LCM of 706,2074 is 732122.
The greatest common factor of 4530/706,2667/2074 = [GCF of 4530,2667]/[LCM of 706,2074]= 3/732122
Therefore, the GCF of 4530/706,2667/2074 is 3/732122.
To find the highest common factor of 4530,2667, we have to find the factors of both numbers and list the highest common factor.
The factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530
The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667
The HCF of 4530,2667 is 3.
Lets's calculate GCF of 4530,2667
| 3 | 4530, 2667 |
| 1510, 889 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4530,2667 By Matching Biggest Common Factor Method
Now, list down the factors of 4530
:1,2,3,5,6,10,15,30,151,302,453,755,906,1510,2265,4530
Now, list down the factors of 2667
:1,3,7,21,127,381,889,2667
Greatest Common Factor
We found the factors 4530,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 4530,2667 is 3.
Lets's calculate LCM of 706,2074
| 2 | 706, 2074 |
| 353, 1037 |
∴ So the LCM of the given numbers is 2 x 353 x 1037 = 732122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/732122
Therefore, the GCF of Fractions 4530/706,2667/2074 is 3/732122
Least Common Multiple of 706,2074 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 706,2074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,2074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,2074) x common factors =2 x 1 = 2
LCM(706,2074) = ( 706 × 2074 ) / 2
LCM(706,2074) = 1464244 / 2
LCM(706,2074) = 732122
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FAQs on GCF of Fractions of 4530/706, 2667/2074
1. What is the HCF of 4530,2667?
The HCF of 4530,2667 is 3
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 4530/706, 2667/2074?
Answer: GCF of Numerators as per given numbers 4530/706, 2667/2074 is
GCF of Numerators i.e. for 4530,2667 is 3
LCM of denominators i.e. for 706,2074 is 732122.
Thus, GCF of Fractions is 3/732122.Finally, GCF of Fractions for 4530/706, 2667/2074 is 3/732122.