GCF of 3535/170, 5551/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3535/170, 5551/488 i.e 7/41480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3535/170, 5551/488.
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 3535/170,5551/488?
Given fractions are 3535/170,5551/488
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 3535/170,5551/488, numerators are 3535,5551
Denominators are 170,488
The GCF of 3535,5551 is 7 .
LCM of 170,488 is 41480.
The greatest common factor of 3535/170,5551/488 = [GCF of 3535,5551]/[LCM of 170,488]= 7/41480
Therefore, the GCF of 3535/170,5551/488 is 7/41480.
To find the highest common factor of 3535,5551, 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 5551 are 1, 7, 13, 61, 91, 427, 793, 5551
The HCF of 3535,5551 is 7.
Lets's calculate GCF of 3535,5551
| 7 | 3535, 5551 |
| 505, 793 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3535,5551 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 5551
:1,7,13,61,91,427,793,5551
Greatest Common Factor
We found the factors 3535,5551 . The biggest common factor number is the GCF number.
So the greatest common factor 3535,5551 is 7.
Lets's calculate LCM of 170,488
| 2 | 170, 488 |
| 85, 244 |
∴ So the LCM of the given numbers is 2 x 85 x 244 = 41480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/41480
Therefore, the GCF of Fractions 3535/170,5551/488 is 7/41480
Least Common Multiple of 170,488 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 170,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,488) x common factors =2 x 1 = 2
LCM(170,488) = ( 170 × 488 ) / 2
LCM(170,488) = 82960 / 2
LCM(170,488) = 41480
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FAQs on GCF of Fractions of 3535/170, 5551/488
1. What is the HCF of 3535,5551?
The HCF of 3535,5551 is 7
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 3535/170, 5551/488?
Answer: GCF of Numerators as per given numbers 3535/170, 5551/488 is
GCF of Numerators i.e. for 3535,5551 is 7
LCM of denominators i.e. for 170,488 is 41480.
Thus, GCF of Fractions is 7/41480.Finally, GCF of Fractions for 3535/170, 5551/488 is 7/41480.