GCF of 3502/215, 1768/5436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3502/215, 1768/5436 i.e 34/1168740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3502/215, 1768/5436.
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 3502/215,1768/5436?
Given fractions are 3502/215,1768/5436
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 3502/215,1768/5436, numerators are 3502,1768
Denominators are 215,5436
The GCF of 3502,1768 is 34 .
LCM of 215,5436 is 1168740.
The greatest common factor of 3502/215,1768/5436 = [GCF of 3502,1768]/[LCM of 215,5436]= 34/1168740
Therefore, the GCF of 3502/215,1768/5436 is 34/1168740.
To find the highest common factor of 3502,1768, we have to find the factors of both numbers and list the highest common factor.
The factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502
The factors of 1768 are 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768
The HCF of 3502,1768 is 34.
Lets's calculate GCF of 3502,1768
| 2 | 3502, 1768 |
| 17 | 1751, 884 |
| 103, 52 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 3502,1768 By Matching Biggest Common Factor Method
Now, list down the factors of 3502
:1,2,17,34,103,206,1751,3502
Now, list down the factors of 1768
:1,2,4,8,13,17,26,34,52,68,104,136,221,442,884,1768
Greatest Common Factor
We found the factors 3502,1768 . The biggest common factor number is the GCF number.
So the greatest common factor 3502,1768 is 34.
Lets's calculate LCM of 215,5436
Given numbers has no common factors except 1. So, there LCM is their product i.e 1168740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1168740
Therefore, the GCF of Fractions 3502/215,1768/5436 is 34/1168740
Least Common Multiple of 215,5436 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 215,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,5436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,5436) x common factors =1 x 1 = 1
LCM(215,5436) = ( 215 × 5436 ) / 1
LCM(215,5436) = 1168740 / 1
LCM(215,5436) = 1168740
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FAQs on GCF of Fractions of 3502/215, 1768/5436
1. What is the HCF of 3502,1768?
The HCF of 3502,1768 is 34
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 3502/215, 1768/5436?
Answer: GCF of Numerators as per given numbers 3502/215, 1768/5436 is
GCF of Numerators i.e. for 3502,1768 is 34
LCM of denominators i.e. for 215,5436 is 1168740.
Thus, GCF of Fractions is 34/1168740.Finally, GCF of Fractions for 3502/215, 1768/5436 is 34/1168740.