GCF of 4666/321, 7630/2170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4666/321, 7630/2170 i.e 2/696570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4666/321, 7630/2170.
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 4666/321,7630/2170?
Given fractions are 4666/321,7630/2170
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 4666/321,7630/2170, numerators are 4666,7630
Denominators are 321,2170
The GCF of 4666,7630 is 2 .
LCM of 321,2170 is 696570.
The greatest common factor of 4666/321,7630/2170 = [GCF of 4666,7630]/[LCM of 321,2170]= 2/696570
Therefore, the GCF of 4666/321,7630/2170 is 2/696570.
To find the highest common factor of 4666,7630, we have to find the factors of both numbers and list the highest common factor.
The factors of 4666 are 1, 2, 2333, 4666
The factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630
The HCF of 4666,7630 is 2.
Lets's calculate GCF of 4666,7630
| 2 | 4666, 7630 |
| 2333, 3815 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4666,7630 By Matching Biggest Common Factor Method
Now, list down the factors of 4666
:1,2,2333,4666
Now, list down the factors of 7630
:1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630
Greatest Common Factor
We found the factors 4666,7630 . The biggest common factor number is the GCF number.
So the greatest common factor 4666,7630 is 2.
Lets's calculate LCM of 321,2170
Given numbers has no common factors except 1. So, there LCM is their product i.e 696570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/696570
Therefore, the GCF of Fractions 4666/321,7630/2170 is 2/696570
Least Common Multiple of 321,2170 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 321,2170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,2170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,2170) x common factors =1 x 1 = 1
LCM(321,2170) = ( 321 × 2170 ) / 1
LCM(321,2170) = 696570 / 1
LCM(321,2170) = 696570
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FAQs on GCF of Fractions of 4666/321, 7630/2170
1. What is the HCF of 4666,7630?
The HCF of 4666,7630 is 2
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 4666/321, 7630/2170?
Answer: GCF of Numerators as per given numbers 4666/321, 7630/2170 is
GCF of Numerators i.e. for 4666,7630 is 2
LCM of denominators i.e. for 321,2170 is 696570.
Thus, GCF of Fractions is 2/696570.Finally, GCF of Fractions for 4666/321, 7630/2170 is 2/696570.