GCF of 1612/102, 1355/6749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1612/102, 1355/6749 i.e 1/40494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1612/102, 1355/6749.
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 1612/102,1355/6749?
Given fractions are 1612/102,1355/6749
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 1612/102,1355/6749, numerators are 1612,1355
Denominators are 102,6749
The GCF of 1612,1355 is 1 .
LCM of 102,6749 is 40494.
The greatest common factor of 1612/102,1355/6749 = [GCF of 1612,1355]/[LCM of 102,6749]= 1/40494
Therefore, the GCF of 1612/102,1355/6749 is 1/40494.
To find the highest common factor of 1612,1355, we have to find the factors of both numbers and list the highest common factor.
The factors of 1612 are 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612
The factors of 1355 are 1, 5, 271, 1355
The HCF of 1612,1355 is 1.
Lets's calculate GCF of 1612,1355
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1612,1355 By Matching Biggest Common Factor Method
Now, list down the factors of 1612
:1,2,4,13,26,31,52,62,124,403,806,1612
Now, list down the factors of 1355
:1,5,271,1355
Greatest Common Factor
We found the factors 1612,1355 . The biggest common factor number is the GCF number.
So the greatest common factor 1612,1355 is 1.
Lets's calculate LCM of 102,6749
| 17 | 102, 6749 |
| 6, 397 |
∴ So the LCM of the given numbers is 17 x 6 x 397 = 40494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40494
Therefore, the GCF of Fractions 1612/102,1355/6749 is 1/40494
Least Common Multiple of 102,6749 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 102,6749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,6749) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(102,6749) x common factors =17 x 1 = 17
LCM(102,6749) = ( 102 × 6749 ) / 17
LCM(102,6749) = 688398 / 17
LCM(102,6749) = 40494
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FAQs on GCF of Fractions of 1612/102, 1355/6749
1. What is the HCF of 1612,1355?
The HCF of 1612,1355 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 1612/102, 1355/6749?
Answer: GCF of Numerators as per given numbers 1612/102, 1355/6749 is
GCF of Numerators i.e. for 1612,1355 is 1
LCM of denominators i.e. for 102,6749 is 40494.
Thus, GCF of Fractions is 1/40494.Finally, GCF of Fractions for 1612/102, 1355/6749 is 1/40494.