GCF of 3542/335, 7150/577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3542/335, 7150/577 i.e 22/193295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3542/335, 7150/577.
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 3542/335,7150/577?
Given fractions are 3542/335,7150/577
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 3542/335,7150/577, numerators are 3542,7150
Denominators are 335,577
The GCF of 3542,7150 is 22 .
LCM of 335,577 is 193295.
The greatest common factor of 3542/335,7150/577 = [GCF of 3542,7150]/[LCM of 335,577]= 22/193295
Therefore, the GCF of 3542/335,7150/577 is 22/193295.
To find the highest common factor of 3542,7150, we have to find the factors of both numbers and list the highest common factor.
The factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The HCF of 3542,7150 is 22.
Lets's calculate GCF of 3542,7150
| 2 | 3542, 7150 |
| 11 | 1771, 3575 |
| 161, 325 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 3542,7150 By Matching Biggest Common Factor Method
Now, list down the factors of 3542
:1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 3542,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 3542,7150 is 22.
Lets's calculate LCM of 335,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 193295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/193295
Therefore, the GCF of Fractions 3542/335,7150/577 is 22/193295
Least Common Multiple of 335,577 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 335,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,577) x common factors =1 x 1 = 1
LCM(335,577) = ( 335 × 577 ) / 1
LCM(335,577) = 193295 / 1
LCM(335,577) = 193295
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FAQs on GCF of Fractions of 3542/335, 7150/577
1. What is the HCF of 3542,7150?
The HCF of 3542,7150 is 22
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 3542/335, 7150/577?
Answer: GCF of Numerators as per given numbers 3542/335, 7150/577 is
GCF of Numerators i.e. for 3542,7150 is 22
LCM of denominators i.e. for 335,577 is 193295.
Thus, GCF of Fractions is 22/193295.Finally, GCF of Fractions for 3542/335, 7150/577 is 22/193295.