GCF of 3043/360, 3472/5620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3043/360, 3472/5620 i.e 1/101160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3043/360, 3472/5620.
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 3043/360,3472/5620?
Given fractions are 3043/360,3472/5620
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 3043/360,3472/5620, numerators are 3043,3472
Denominators are 360,5620
The GCF of 3043,3472 is 1 .
LCM of 360,5620 is 101160.
The greatest common factor of 3043/360,3472/5620 = [GCF of 3043,3472]/[LCM of 360,5620]= 1/101160
Therefore, the GCF of 3043/360,3472/5620 is 1/101160.
To find the highest common factor of 3043,3472, we have to find the factors of both numbers and list the highest common factor.
The factors of 3043 are 1, 17, 179, 3043
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472
The HCF of 3043,3472 is 1.
Lets's calculate GCF of 3043,3472
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3043,3472 By Matching Biggest Common Factor Method
Now, list down the factors of 3043
:1,17,179,3043
Now, list down the factors of 3472
:1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472
Greatest Common Factor
We found the factors 3043,3472 . The biggest common factor number is the GCF number.
So the greatest common factor 3043,3472 is 1.
Lets's calculate LCM of 360,5620
| 2 | 360, 5620 |
| 2 | 180, 2810 |
| 5 | 90, 1405 |
| 18, 281 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 18 x 281 = 101160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101160
Therefore, the GCF of Fractions 3043/360,3472/5620 is 1/101160
Least Common Multiple of 360,5620 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 360,5620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,5620) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(360,5620) x common factors =20 x 1 = 20
LCM(360,5620) = ( 360 × 5620 ) / 20
LCM(360,5620) = 2023200 / 20
LCM(360,5620) = 101160
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FAQs on GCF of Fractions of 3043/360, 3472/5620
1. What is the HCF of 3043,3472?
The HCF of 3043,3472 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 3043/360, 3472/5620?
Answer: GCF of Numerators as per given numbers 3043/360, 3472/5620 is
GCF of Numerators i.e. for 3043,3472 is 1
LCM of denominators i.e. for 360,5620 is 101160.
Thus, GCF of Fractions is 1/101160.Finally, GCF of Fractions for 3043/360, 3472/5620 is 1/101160.