GCF of 6229/970, 2142/1472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6229/970, 2142/1472 i.e 1/713920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6229/970, 2142/1472.
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 6229/970,2142/1472?
Given fractions are 6229/970,2142/1472
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 6229/970,2142/1472, numerators are 6229,2142
Denominators are 970,1472
The GCF of 6229,2142 is 1 .
LCM of 970,1472 is 713920.
The greatest common factor of 6229/970,2142/1472 = [GCF of 6229,2142]/[LCM of 970,1472]= 1/713920
Therefore, the GCF of 6229/970,2142/1472 is 1/713920.
To find the highest common factor of 6229,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 6229 are 1, 6229
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 6229,2142 is 1.
Lets's calculate GCF of 6229,2142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6229,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 6229
:1,6229
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 6229,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 6229,2142 is 1.
Lets's calculate LCM of 970,1472
| 2 | 970, 1472 |
| 485, 736 |
∴ So the LCM of the given numbers is 2 x 485 x 736 = 713920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/713920
Therefore, the GCF of Fractions 6229/970,2142/1472 is 1/713920
Least Common Multiple of 970,1472 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 970,1472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,1472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,1472) x common factors =2 x 1 = 2
LCM(970,1472) = ( 970 × 1472 ) / 2
LCM(970,1472) = 1427840 / 2
LCM(970,1472) = 713920
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FAQs on GCF of Fractions of 6229/970, 2142/1472
1. What is the HCF of 6229,2142?
The HCF of 6229,2142 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 6229/970, 2142/1472?
Answer: GCF of Numerators as per given numbers 6229/970, 2142/1472 is
GCF of Numerators i.e. for 6229,2142 is 1
LCM of denominators i.e. for 970,1472 is 713920.
Thus, GCF of Fractions is 1/713920.Finally, GCF of Fractions for 6229/970, 2142/1472 is 1/713920.