GCF of 1683/825, 4124/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1683/825, 4124/740 i.e 1/122100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1683/825, 4124/740.
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 1683/825,4124/740?
Given fractions are 1683/825,4124/740
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 1683/825,4124/740, numerators are 1683,4124
Denominators are 825,740
The GCF of 1683,4124 is 1 .
LCM of 825,740 is 122100.
The greatest common factor of 1683/825,4124/740 = [GCF of 1683,4124]/[LCM of 825,740]= 1/122100
Therefore, the GCF of 1683/825,4124/740 is 1/122100.
To find the highest common factor of 1683,4124, we have to find the factors of both numbers and list the highest common factor.
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The factors of 4124 are 1, 2, 4, 1031, 2062, 4124
The HCF of 1683,4124 is 1.
Lets's calculate GCF of 1683,4124
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1683,4124 By Matching Biggest Common Factor Method
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Now, list down the factors of 4124
:1,2,4,1031,2062,4124
Greatest Common Factor
We found the factors 1683,4124 . The biggest common factor number is the GCF number.
So the greatest common factor 1683,4124 is 1.
Lets's calculate LCM of 825,740
| 5 | 825, 740 |
| 165, 148 |
∴ So the LCM of the given numbers is 5 x 165 x 148 = 122100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122100
Therefore, the GCF of Fractions 1683/825,4124/740 is 1/122100
Least Common Multiple of 825,740 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 825,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,740) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(825,740) x common factors =5 x 1 = 5
LCM(825,740) = ( 825 × 740 ) / 5
LCM(825,740) = 610500 / 5
LCM(825,740) = 122100
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FAQs on GCF of Fractions of 1683/825, 4124/740
1. What is the HCF of 1683,4124?
The HCF of 1683,4124 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 1683/825, 4124/740?
Answer: GCF of Numerators as per given numbers 1683/825, 4124/740 is
GCF of Numerators i.e. for 1683,4124 is 1
LCM of denominators i.e. for 825,740 is 122100.
Thus, GCF of Fractions is 1/122100.Finally, GCF of Fractions for 1683/825, 4124/740 is 1/122100.