GCF of 2983/576, 7038/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2983/576, 7038/750 i.e 1/72000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2983/576, 7038/750.
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 2983/576,7038/750?
Given fractions are 2983/576,7038/750
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 2983/576,7038/750, numerators are 2983,7038
Denominators are 576,750
The GCF of 2983,7038 is 1 .
LCM of 576,750 is 72000.
The greatest common factor of 2983/576,7038/750 = [GCF of 2983,7038]/[LCM of 576,750]= 1/72000
Therefore, the GCF of 2983/576,7038/750 is 1/72000.
To find the highest common factor of 2983,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 2983 are 1, 19, 157, 2983
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 2983,7038 is 1.
Lets's calculate GCF of 2983,7038
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2983,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 2983
:1,19,157,2983
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 2983,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 2983,7038 is 1.
Lets's calculate LCM of 576,750
| 2 | 576, 750 |
| 3 | 288, 375 |
| 96, 125 |
∴ So the LCM of the given numbers is 2 x 3 x 96 x 125 = 72000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72000
Therefore, the GCF of Fractions 2983/576,7038/750 is 1/72000
Least Common Multiple of 576,750 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 576,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,750) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(576,750) x common factors =6 x 1 = 6
LCM(576,750) = ( 576 × 750 ) / 6
LCM(576,750) = 432000 / 6
LCM(576,750) = 72000
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FAQs on GCF of Fractions of 2983/576, 7038/750
1. What is the HCF of 2983,7038?
The HCF of 2983,7038 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 2983/576, 7038/750?
Answer: GCF of Numerators as per given numbers 2983/576, 7038/750 is
GCF of Numerators i.e. for 2983,7038 is 1
LCM of denominators i.e. for 576,750 is 72000.
Thus, GCF of Fractions is 1/72000.Finally, GCF of Fractions for 2983/576, 7038/750 is 1/72000.