GCF of 3535/388, 6574/1540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3535/388, 6574/1540 i.e 1/149380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3535/388, 6574/1540.
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 3535/388,6574/1540?
Given fractions are 3535/388,6574/1540
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 3535/388,6574/1540, numerators are 3535,6574
Denominators are 388,1540
The GCF of 3535,6574 is 1 .
LCM of 388,1540 is 149380.
The greatest common factor of 3535/388,6574/1540 = [GCF of 3535,6574]/[LCM of 388,1540]= 1/149380
Therefore, the GCF of 3535/388,6574/1540 is 1/149380.
To find the highest common factor of 3535,6574, we have to find the factors of both numbers and list the highest common factor.
The factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535
The factors of 6574 are 1, 2, 19, 38, 173, 346, 3287, 6574
The HCF of 3535,6574 is 1.
Lets's calculate GCF of 3535,6574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3535,6574 By Matching Biggest Common Factor Method
Now, list down the factors of 3535
:1,5,7,35,101,505,707,3535
Now, list down the factors of 6574
:1,2,19,38,173,346,3287,6574
Greatest Common Factor
We found the factors 3535,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 3535,6574 is 1.
Lets's calculate LCM of 388,1540
| 2 | 388, 1540 |
| 2 | 194, 770 |
| 97, 385 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 385 = 149380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149380
Therefore, the GCF of Fractions 3535/388,6574/1540 is 1/149380
Least Common Multiple of 388,1540 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 388,1540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,1540) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(388,1540) x common factors =4 x 1 = 4
LCM(388,1540) = ( 388 × 1540 ) / 4
LCM(388,1540) = 597520 / 4
LCM(388,1540) = 149380
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FAQs on GCF of Fractions of 3535/388, 6574/1540
1. What is the HCF of 3535,6574?
The HCF of 3535,6574 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 3535/388, 6574/1540?
Answer: GCF of Numerators as per given numbers 3535/388, 6574/1540 is
GCF of Numerators i.e. for 3535,6574 is 1
LCM of denominators i.e. for 388,1540 is 149380.
Thus, GCF of Fractions is 1/149380.Finally, GCF of Fractions for 3535/388, 6574/1540 is 1/149380.