GCF of 6730/340, 7124/4674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6730/340, 7124/4674 i.e 2/794580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6730/340, 7124/4674.
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 6730/340,7124/4674?
Given fractions are 6730/340,7124/4674
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 6730/340,7124/4674, numerators are 6730,7124
Denominators are 340,4674
The GCF of 6730,7124 is 2 .
LCM of 340,4674 is 794580.
The greatest common factor of 6730/340,7124/4674 = [GCF of 6730,7124]/[LCM of 340,4674]= 2/794580
Therefore, the GCF of 6730/340,7124/4674 is 2/794580.
To find the highest common factor of 6730,7124, we have to find the factors of both numbers and list the highest common factor.
The factors of 6730 are 1, 2, 5, 10, 673, 1346, 3365, 6730
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The HCF of 6730,7124 is 2.
Lets's calculate GCF of 6730,7124
| 2 | 6730, 7124 |
| 3365, 3562 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6730,7124 By Matching Biggest Common Factor Method
Now, list down the factors of 6730
:1,2,5,10,673,1346,3365,6730
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Greatest Common Factor
We found the factors 6730,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 6730,7124 is 2.
Lets's calculate LCM of 340,4674
| 2 | 340, 4674 |
| 170, 2337 |
∴ So the LCM of the given numbers is 2 x 170 x 2337 = 794580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/794580
Therefore, the GCF of Fractions 6730/340,7124/4674 is 2/794580
Least Common Multiple of 340,4674 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 340,4674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,4674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(340,4674) x common factors =2 x 1 = 2
LCM(340,4674) = ( 340 × 4674 ) / 2
LCM(340,4674) = 1589160 / 2
LCM(340,4674) = 794580
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6730/340, 7124/4674
1. What is the HCF of 6730,7124?
The HCF of 6730,7124 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 6730/340, 7124/4674?
Answer: GCF of Numerators as per given numbers 6730/340, 7124/4674 is
GCF of Numerators i.e. for 6730,7124 is 2
LCM of denominators i.e. for 340,4674 is 794580.
Thus, GCF of Fractions is 2/794580.Finally, GCF of Fractions for 6730/340, 7124/4674 is 2/794580.