GCF of 3400/78, 3362/604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3400/78, 3362/604 i.e 2/23556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3400/78, 3362/604.
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 3400/78,3362/604?
Given fractions are 3400/78,3362/604
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 3400/78,3362/604, numerators are 3400,3362
Denominators are 78,604
The GCF of 3400,3362 is 2 .
LCM of 78,604 is 23556.
The greatest common factor of 3400/78,3362/604 = [GCF of 3400,3362]/[LCM of 78,604]= 2/23556
Therefore, the GCF of 3400/78,3362/604 is 2/23556.
To find the highest common factor of 3400,3362, we have to find the factors of both numbers and list the highest common factor.
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The factors of 3362 are 1, 2, 41, 82, 1681, 3362
The HCF of 3400,3362 is 2.
Lets's calculate GCF of 3400,3362
| 2 | 3400, 3362 |
| 1700, 1681 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3400,3362 By Matching Biggest Common Factor Method
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Now, list down the factors of 3362
:1,2,41,82,1681,3362
Greatest Common Factor
We found the factors 3400,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 3400,3362 is 2.
Lets's calculate LCM of 78,604
| 2 | 78, 604 |
| 39, 302 |
∴ So the LCM of the given numbers is 2 x 39 x 302 = 23556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23556
Therefore, the GCF of Fractions 3400/78,3362/604 is 2/23556
Least Common Multiple of 78,604 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 78,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,604) x common factors =2 x 1 = 2
LCM(78,604) = ( 78 × 604 ) / 2
LCM(78,604) = 47112 / 2
LCM(78,604) = 23556
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FAQs on GCF of Fractions of 3400/78, 3362/604
1. What is the HCF of 3400,3362?
The HCF of 3400,3362 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 3400/78, 3362/604?
Answer: GCF of Numerators as per given numbers 3400/78, 3362/604 is
GCF of Numerators i.e. for 3400,3362 is 2
LCM of denominators i.e. for 78,604 is 23556.
Thus, GCF of Fractions is 2/23556.Finally, GCF of Fractions for 3400/78, 3362/604 is 2/23556.