GCF of 3698/719, 8470/3343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3698/719, 8470/3343 i.e 2/2403617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3698/719, 8470/3343.
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 3698/719,8470/3343?
Given fractions are 3698/719,8470/3343
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 3698/719,8470/3343, numerators are 3698,8470
Denominators are 719,3343
The GCF of 3698,8470 is 2 .
LCM of 719,3343 is 2403617.
The greatest common factor of 3698/719,8470/3343 = [GCF of 3698,8470]/[LCM of 719,3343]= 2/2403617
Therefore, the GCF of 3698/719,8470/3343 is 2/2403617.
To find the highest common factor of 3698,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 3698 are 1, 2, 43, 86, 1849, 3698
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 3698,8470 is 2.
Lets's calculate GCF of 3698,8470
| 2 | 3698, 8470 |
| 1849, 4235 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3698,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 3698
:1,2,43,86,1849,3698
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 3698,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 3698,8470 is 2.
Lets's calculate LCM of 719,3343
Given numbers has no common factors except 1. So, there LCM is their product i.e 2403617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2403617
Therefore, the GCF of Fractions 3698/719,8470/3343 is 2/2403617
Least Common Multiple of 719,3343 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 719,3343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,3343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,3343) x common factors =1 x 1 = 1
LCM(719,3343) = ( 719 × 3343 ) / 1
LCM(719,3343) = 2403617 / 1
LCM(719,3343) = 2403617
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FAQs on GCF of Fractions of 3698/719, 8470/3343
1. What is the HCF of 3698,8470?
The HCF of 3698,8470 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 3698/719, 8470/3343?
Answer: GCF of Numerators as per given numbers 3698/719, 8470/3343 is
GCF of Numerators i.e. for 3698,8470 is 2
LCM of denominators i.e. for 719,3343 is 2403617.
Thus, GCF of Fractions is 2/2403617.Finally, GCF of Fractions for 3698/719, 8470/3343 is 2/2403617.