GCF of 3540/501, 7130/3646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3540/501, 7130/3646 i.e 10/1826646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3540/501, 7130/3646.
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 3540/501,7130/3646?
Given fractions are 3540/501,7130/3646
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 3540/501,7130/3646, numerators are 3540,7130
Denominators are 501,3646
The GCF of 3540,7130 is 10 .
LCM of 501,3646 is 1826646.
The greatest common factor of 3540/501,7130/3646 = [GCF of 3540,7130]/[LCM of 501,3646]= 10/1826646
Therefore, the GCF of 3540/501,7130/3646 is 10/1826646.
To find the highest common factor of 3540,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 3540,7130 is 10.
Lets's calculate GCF of 3540,7130
| 2 | 3540, 7130 |
| 5 | 1770, 3565 |
| 354, 713 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3540,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 3540,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 3540,7130 is 10.
Lets's calculate LCM of 501,3646
Given numbers has no common factors except 1. So, there LCM is their product i.e 1826646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1826646
Therefore, the GCF of Fractions 3540/501,7130/3646 is 10/1826646
Least Common Multiple of 501,3646 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 501,3646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,3646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,3646) x common factors =1 x 1 = 1
LCM(501,3646) = ( 501 × 3646 ) / 1
LCM(501,3646) = 1826646 / 1
LCM(501,3646) = 1826646
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FAQs on GCF of Fractions of 3540/501, 7130/3646
1. What is the HCF of 3540,7130?
The HCF of 3540,7130 is 10
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 3540/501, 7130/3646?
Answer: GCF of Numerators as per given numbers 3540/501, 7130/3646 is
GCF of Numerators i.e. for 3540,7130 is 10
LCM of denominators i.e. for 501,3646 is 1826646.
Thus, GCF of Fractions is 10/1826646.Finally, GCF of Fractions for 3540/501, 7130/3646 is 10/1826646.