GCF of 3458/307, 8202/5829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3458/307, 8202/5829 i.e 2/1789503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3458/307, 8202/5829.
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 3458/307,8202/5829?
Given fractions are 3458/307,8202/5829
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 3458/307,8202/5829, numerators are 3458,8202
Denominators are 307,5829
The GCF of 3458,8202 is 2 .
LCM of 307,5829 is 1789503.
The greatest common factor of 3458/307,8202/5829 = [GCF of 3458,8202]/[LCM of 307,5829]= 2/1789503
Therefore, the GCF of 3458/307,8202/5829 is 2/1789503.
To find the highest common factor of 3458,8202, we have to find the factors of both numbers and list the highest common factor.
The factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458
The factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202
The HCF of 3458,8202 is 2.
Lets's calculate GCF of 3458,8202
| 2 | 3458, 8202 |
| 1729, 4101 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3458,8202 By Matching Biggest Common Factor Method
Now, list down the factors of 3458
:1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458
Now, list down the factors of 8202
:1,2,3,6,1367,2734,4101,8202
Greatest Common Factor
We found the factors 3458,8202 . The biggest common factor number is the GCF number.
So the greatest common factor 3458,8202 is 2.
Lets's calculate LCM of 307,5829
Given numbers has no common factors except 1. So, there LCM is their product i.e 1789503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1789503
Therefore, the GCF of Fractions 3458/307,8202/5829 is 2/1789503
Least Common Multiple of 307,5829 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 307,5829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,5829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,5829) x common factors =1 x 1 = 1
LCM(307,5829) = ( 307 × 5829 ) / 1
LCM(307,5829) = 1789503 / 1
LCM(307,5829) = 1789503
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FAQs on GCF of Fractions of 3458/307, 8202/5829
1. What is the HCF of 3458,8202?
The HCF of 3458,8202 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 3458/307, 8202/5829?
Answer: GCF of Numerators as per given numbers 3458/307, 8202/5829 is
GCF of Numerators i.e. for 3458,8202 is 2
LCM of denominators i.e. for 307,5829 is 1789503.
Thus, GCF of Fractions is 2/1789503.Finally, GCF of Fractions for 3458/307, 8202/5829 is 2/1789503.