GCF of 7028/570, 2670/3406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7028/570, 2670/3406 i.e 2/970710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7028/570, 2670/3406.
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 7028/570,2670/3406?
Given fractions are 7028/570,2670/3406
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 7028/570,2670/3406, numerators are 7028,2670
Denominators are 570,3406
The GCF of 7028,2670 is 2 .
LCM of 570,3406 is 970710.
The greatest common factor of 7028/570,2670/3406 = [GCF of 7028,2670]/[LCM of 570,3406]= 2/970710
Therefore, the GCF of 7028/570,2670/3406 is 2/970710.
To find the highest common factor of 7028,2670, we have to find the factors of both numbers and list the highest common factor.
The factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028
The factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670
The HCF of 7028,2670 is 2.
Lets's calculate GCF of 7028,2670
| 2 | 7028, 2670 |
| 3514, 1335 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7028,2670 By Matching Biggest Common Factor Method
Now, list down the factors of 7028
:1,2,4,7,14,28,251,502,1004,1757,3514,7028
Now, list down the factors of 2670
:1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670
Greatest Common Factor
We found the factors 7028,2670 . The biggest common factor number is the GCF number.
So the greatest common factor 7028,2670 is 2.
Lets's calculate LCM of 570,3406
| 2 | 570, 3406 |
| 285, 1703 |
∴ So the LCM of the given numbers is 2 x 285 x 1703 = 970710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/970710
Therefore, the GCF of Fractions 7028/570,2670/3406 is 2/970710
Least Common Multiple of 570,3406 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 570,3406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,3406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(570,3406) x common factors =2 x 1 = 2
LCM(570,3406) = ( 570 × 3406 ) / 2
LCM(570,3406) = 1941420 / 2
LCM(570,3406) = 970710
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FAQs on GCF of Fractions of 7028/570, 2670/3406
1. What is the HCF of 7028,2670?
The HCF of 7028,2670 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 7028/570, 2670/3406?
Answer: GCF of Numerators as per given numbers 7028/570, 2670/3406 is
GCF of Numerators i.e. for 7028,2670 is 2
LCM of denominators i.e. for 570,3406 is 970710.
Thus, GCF of Fractions is 2/970710.Finally, GCF of Fractions for 7028/570, 2670/3406 is 2/970710.