GCF of 6031/450, 7002/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6031/450, 7002/585 i.e 1/5850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6031/450, 7002/585.
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 6031/450,7002/585?
Given fractions are 6031/450,7002/585
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 6031/450,7002/585, numerators are 6031,7002
Denominators are 450,585
The GCF of 6031,7002 is 1 .
LCM of 450,585 is 5850.
The greatest common factor of 6031/450,7002/585 = [GCF of 6031,7002]/[LCM of 450,585]= 1/5850
Therefore, the GCF of 6031/450,7002/585 is 1/5850.
To find the highest common factor of 6031,7002, we have to find the factors of both numbers and list the highest common factor.
The factors of 6031 are 1, 37, 163, 6031
The factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002
The HCF of 6031,7002 is 1.
Lets's calculate GCF of 6031,7002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6031,7002 By Matching Biggest Common Factor Method
Now, list down the factors of 6031
:1,37,163,6031
Now, list down the factors of 7002
:1,2,3,6,9,18,389,778,1167,2334,3501,7002
Greatest Common Factor
We found the factors 6031,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 6031,7002 is 1.
Lets's calculate LCM of 450,585
| 3 | 450, 585 |
| 3 | 150, 195 |
| 5 | 50, 65 |
| 10, 13 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 10 x 13 = 5850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5850
Therefore, the GCF of Fractions 6031/450,7002/585 is 1/5850
Least Common Multiple of 450,585 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 450,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,585) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(450,585) x common factors =45 x 1 = 45
LCM(450,585) = ( 450 × 585 ) / 45
LCM(450,585) = 263250 / 45
LCM(450,585) = 5850
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FAQs on GCF of Fractions of 6031/450, 7002/585
1. What is the HCF of 6031,7002?
The HCF of 6031,7002 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 6031/450, 7002/585?
Answer: GCF of Numerators as per given numbers 6031/450, 7002/585 is
GCF of Numerators i.e. for 6031,7002 is 1
LCM of denominators i.e. for 450,585 is 5850.
Thus, GCF of Fractions is 1/5850.Finally, GCF of Fractions for 6031/450, 7002/585 is 1/5850.