GCF of 3692/104, 3138/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3692/104, 3138/660 i.e 2/17160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3692/104, 3138/660.
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 3692/104,3138/660?
Given fractions are 3692/104,3138/660
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 3692/104,3138/660, numerators are 3692,3138
Denominators are 104,660
The GCF of 3692,3138 is 2 .
LCM of 104,660 is 17160.
The greatest common factor of 3692/104,3138/660 = [GCF of 3692,3138]/[LCM of 104,660]= 2/17160
Therefore, the GCF of 3692/104,3138/660 is 2/17160.
To find the highest common factor of 3692,3138, we have to find the factors of both numbers and list the highest common factor.
The factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692
The factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138
The HCF of 3692,3138 is 2.
Lets's calculate GCF of 3692,3138
| 2 | 3692, 3138 |
| 1846, 1569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3692,3138 By Matching Biggest Common Factor Method
Now, list down the factors of 3692
:1,2,4,13,26,52,71,142,284,923,1846,3692
Now, list down the factors of 3138
:1,2,3,6,523,1046,1569,3138
Greatest Common Factor
We found the factors 3692,3138 . The biggest common factor number is the GCF number.
So the greatest common factor 3692,3138 is 2.
Lets's calculate LCM of 104,660
| 2 | 104, 660 |
| 2 | 52, 330 |
| 26, 165 |
∴ So the LCM of the given numbers is 2 x 2 x 26 x 165 = 17160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17160
Therefore, the GCF of Fractions 3692/104,3138/660 is 2/17160
Least Common Multiple of 104,660 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 104,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,660) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(104,660) x common factors =4 x 1 = 4
LCM(104,660) = ( 104 × 660 ) / 4
LCM(104,660) = 68640 / 4
LCM(104,660) = 17160
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FAQs on GCF of Fractions of 3692/104, 3138/660
1. What is the HCF of 3692,3138?
The HCF of 3692,3138 is 2
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 3692/104, 3138/660?
Answer: GCF of Numerators as per given numbers 3692/104, 3138/660 is
GCF of Numerators i.e. for 3692,3138 is 2
LCM of denominators i.e. for 104,660 is 17160.
Thus, GCF of Fractions is 2/17160.Finally, GCF of Fractions for 3692/104, 3138/660 is 2/17160.