GCF of 3690/525, 5151/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3690/525, 5151/141 i.e 3/24675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3690/525, 5151/141.
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 3690/525,5151/141?
Given fractions are 3690/525,5151/141
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 3690/525,5151/141, numerators are 3690,5151
Denominators are 525,141
The GCF of 3690,5151 is 3 .
LCM of 525,141 is 24675.
The greatest common factor of 3690/525,5151/141 = [GCF of 3690,5151]/[LCM of 525,141]= 3/24675
Therefore, the GCF of 3690/525,5151/141 is 3/24675.
To find the highest common factor of 3690,5151, we have to find the factors of both numbers and list the highest common factor.
The factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690
The factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151
The HCF of 3690,5151 is 3.
Lets's calculate GCF of 3690,5151
| 3 | 3690, 5151 |
| 1230, 1717 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3690,5151 By Matching Biggest Common Factor Method
Now, list down the factors of 3690
:1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690
Now, list down the factors of 5151
:1,3,17,51,101,303,1717,5151
Greatest Common Factor
We found the factors 3690,5151 . The biggest common factor number is the GCF number.
So the greatest common factor 3690,5151 is 3.
Lets's calculate LCM of 525,141
| 3 | 525, 141 |
| 175, 47 |
∴ So the LCM of the given numbers is 3 x 175 x 47 = 24675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24675
Therefore, the GCF of Fractions 3690/525,5151/141 is 3/24675
Least Common Multiple of 525,141 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 525,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,141) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(525,141) x common factors =3 x 1 = 3
LCM(525,141) = ( 525 × 141 ) / 3
LCM(525,141) = 74025 / 3
LCM(525,141) = 24675
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FAQs on GCF of Fractions of 3690/525, 5151/141
1. What is the HCF of 3690,5151?
The HCF of 3690,5151 is 3
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 3690/525, 5151/141?
Answer: GCF of Numerators as per given numbers 3690/525, 5151/141 is
GCF of Numerators i.e. for 3690,5151 is 3
LCM of denominators i.e. for 525,141 is 24675.
Thus, GCF of Fractions is 3/24675.Finally, GCF of Fractions for 3690/525, 5151/141 is 3/24675.