GCF of 4692/740, 1683/5325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4692/740, 1683/5325 i.e 51/788100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4692/740, 1683/5325.
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 4692/740,1683/5325?
Given fractions are 4692/740,1683/5325
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 4692/740,1683/5325, numerators are 4692,1683
Denominators are 740,5325
The GCF of 4692,1683 is 51 .
LCM of 740,5325 is 788100.
The greatest common factor of 4692/740,1683/5325 = [GCF of 4692,1683]/[LCM of 740,5325]= 51/788100
Therefore, the GCF of 4692/740,1683/5325 is 51/788100.
To find the highest common factor of 4692,1683, we have to find the factors of both numbers and list the highest common factor.
The factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The HCF of 4692,1683 is 51.
Lets's calculate GCF of 4692,1683
| 3 | 4692, 1683 |
| 17 | 1564, 561 |
| 92, 33 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 4692,1683 By Matching Biggest Common Factor Method
Now, list down the factors of 4692
:1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692
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 4692,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 4692,1683 is 51.
Lets's calculate LCM of 740,5325
| 5 | 740, 5325 |
| 148, 1065 |
∴ So the LCM of the given numbers is 5 x 148 x 1065 = 788100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/788100
Therefore, the GCF of Fractions 4692/740,1683/5325 is 51/788100
Least Common Multiple of 740,5325 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 740,5325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,5325) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(740,5325) x common factors =5 x 1 = 5
LCM(740,5325) = ( 740 × 5325 ) / 5
LCM(740,5325) = 3940500 / 5
LCM(740,5325) = 788100
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FAQs on GCF of Fractions of 4692/740, 1683/5325
1. What is the HCF of 4692,1683?
The HCF of 4692,1683 is 51
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 4692/740, 1683/5325?
Answer: GCF of Numerators as per given numbers 4692/740, 1683/5325 is
GCF of Numerators i.e. for 4692,1683 is 51
LCM of denominators i.e. for 740,5325 is 788100.
Thus, GCF of Fractions is 51/788100.Finally, GCF of Fractions for 4692/740, 1683/5325 is 51/788100.