GCF of 5060/642, 3045/530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5060/642, 3045/530 i.e 5/170130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5060/642, 3045/530.
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 5060/642,3045/530?
Given fractions are 5060/642,3045/530
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 5060/642,3045/530, numerators are 5060,3045
Denominators are 642,530
The GCF of 5060,3045 is 5 .
LCM of 642,530 is 170130.
The greatest common factor of 5060/642,3045/530 = [GCF of 5060,3045]/[LCM of 642,530]= 5/170130
Therefore, the GCF of 5060/642,3045/530 is 5/170130.
To find the highest common factor of 5060,3045, we have to find the factors of both numbers and list the highest common factor.
The factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060
The factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045
The HCF of 5060,3045 is 5.
Lets's calculate GCF of 5060,3045
| 5 | 5060, 3045 |
| 1012, 609 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5060,3045 By Matching Biggest Common Factor Method
Now, list down the factors of 5060
:1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060
Now, list down the factors of 3045
:1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045
Greatest Common Factor
We found the factors 5060,3045 . The biggest common factor number is the GCF number.
So the greatest common factor 5060,3045 is 5.
Lets's calculate LCM of 642,530
| 2 | 642, 530 |
| 321, 265 |
∴ So the LCM of the given numbers is 2 x 321 x 265 = 170130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/170130
Therefore, the GCF of Fractions 5060/642,3045/530 is 5/170130
Least Common Multiple of 642,530 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 642,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,530) x common factors =2 x 1 = 2
LCM(642,530) = ( 642 × 530 ) / 2
LCM(642,530) = 340260 / 2
LCM(642,530) = 170130
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FAQs on GCF of Fractions of 5060/642, 3045/530
1. What is the HCF of 5060,3045?
The HCF of 5060,3045 is 5
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 5060/642, 3045/530?
Answer: GCF of Numerators as per given numbers 5060/642, 3045/530 is
GCF of Numerators i.e. for 5060,3045 is 5
LCM of denominators i.e. for 642,530 is 170130.
Thus, GCF of Fractions is 5/170130.Finally, GCF of Fractions for 5060/642, 3045/530 is 5/170130.