GCF of 692/490, 1683/1154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 692/490, 1683/1154 i.e 1/282730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 692/490, 1683/1154.
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 692/490,1683/1154?
Given fractions are 692/490,1683/1154
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 692/490,1683/1154, numerators are 692,1683
Denominators are 490,1154
The GCF of 692,1683 is 1 .
LCM of 490,1154 is 282730.
The greatest common factor of 692/490,1683/1154 = [GCF of 692,1683]/[LCM of 490,1154]= 1/282730
Therefore, the GCF of 692/490,1683/1154 is 1/282730.
To find the highest common factor of 692,1683, we have to find the factors of both numbers and list the highest common factor.
The factors of 692 are 1, 2, 4, 173, 346, 692
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The HCF of 692,1683 is 1.
Lets's calculate GCF of 692,1683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 692,1683 By Matching Biggest Common Factor Method
Now, list down the factors of 692
:1,2,4,173,346,692
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Greatest Common Factor
We found the factors 692,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 692,1683 is 1.
Lets's calculate LCM of 490,1154
| 2 | 490, 1154 |
| 245, 577 |
∴ So the LCM of the given numbers is 2 x 245 x 577 = 282730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282730
Therefore, the GCF of Fractions 692/490,1683/1154 is 1/282730
Least Common Multiple of 490,1154 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 490,1154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,1154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,1154) x common factors =2 x 1 = 2
LCM(490,1154) = ( 490 × 1154 ) / 2
LCM(490,1154) = 565460 / 2
LCM(490,1154) = 282730
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FAQs on GCF of Fractions of 692/490, 1683/1154
1. What is the HCF of 692,1683?
The HCF of 692,1683 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 692/490, 1683/1154?
Answer: GCF of Numerators as per given numbers 692/490, 1683/1154 is
GCF of Numerators i.e. for 692,1683 is 1
LCM of denominators i.e. for 490,1154 is 282730.
Thus, GCF of Fractions is 1/282730.Finally, GCF of Fractions for 692/490, 1683/1154 is 1/282730.