GCF of 3045/106, 4382/4626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3045/106, 4382/4626 i.e 7/245178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3045/106, 4382/4626.
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 3045/106,4382/4626?
Given fractions are 3045/106,4382/4626
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 3045/106,4382/4626, numerators are 3045,4382
Denominators are 106,4626
The GCF of 3045,4382 is 7 .
LCM of 106,4626 is 245178.
The greatest common factor of 3045/106,4382/4626 = [GCF of 3045,4382]/[LCM of 106,4626]= 7/245178
Therefore, the GCF of 3045/106,4382/4626 is 7/245178.
To find the highest common factor of 3045,4382, we have to find the factors of both numbers and list the highest common factor.
The factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045
The factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382
The HCF of 3045,4382 is 7.
Lets's calculate GCF of 3045,4382
| 7 | 3045, 4382 |
| 435, 626 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3045,4382 By Matching Biggest Common Factor Method
Now, list down the factors of 3045
:1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045
Now, list down the factors of 4382
:1,2,7,14,313,626,2191,4382
Greatest Common Factor
We found the factors 3045,4382 . The biggest common factor number is the GCF number.
So the greatest common factor 3045,4382 is 7.
Lets's calculate LCM of 106,4626
| 2 | 106, 4626 |
| 53, 2313 |
∴ So the LCM of the given numbers is 2 x 53 x 2313 = 245178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/245178
Therefore, the GCF of Fractions 3045/106,4382/4626 is 7/245178
Least Common Multiple of 106,4626 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 106,4626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,4626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,4626) x common factors =2 x 1 = 2
LCM(106,4626) = ( 106 × 4626 ) / 2
LCM(106,4626) = 490356 / 2
LCM(106,4626) = 245178
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FAQs on GCF of Fractions of 3045/106, 4382/4626
1. What is the HCF of 3045,4382?
The HCF of 3045,4382 is 7
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 3045/106, 4382/4626?
Answer: GCF of Numerators as per given numbers 3045/106, 4382/4626 is
GCF of Numerators i.e. for 3045,4382 is 7
LCM of denominators i.e. for 106,4626 is 245178.
Thus, GCF of Fractions is 7/245178.Finally, GCF of Fractions for 3045/106, 4382/4626 is 7/245178.