GCF of 3395/710, 6616/7842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3395/710, 6616/7842 i.e 1/2783910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3395/710, 6616/7842.
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 3395/710,6616/7842?
Given fractions are 3395/710,6616/7842
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 3395/710,6616/7842, numerators are 3395,6616
Denominators are 710,7842
The GCF of 3395,6616 is 1 .
LCM of 710,7842 is 2783910.
The greatest common factor of 3395/710,6616/7842 = [GCF of 3395,6616]/[LCM of 710,7842]= 1/2783910
Therefore, the GCF of 3395/710,6616/7842 is 1/2783910.
To find the highest common factor of 3395,6616, we have to find the factors of both numbers and list the highest common factor.
The factors of 3395 are 1, 5, 7, 35, 97, 485, 679, 3395
The factors of 6616 are 1, 2, 4, 8, 827, 1654, 3308, 6616
The HCF of 3395,6616 is 1.
Lets's calculate GCF of 3395,6616
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3395,6616 By Matching Biggest Common Factor Method
Now, list down the factors of 3395
:1,5,7,35,97,485,679,3395
Now, list down the factors of 6616
:1,2,4,8,827,1654,3308,6616
Greatest Common Factor
We found the factors 3395,6616 . The biggest common factor number is the GCF number.
So the greatest common factor 3395,6616 is 1.
Lets's calculate LCM of 710,7842
| 2 | 710, 7842 |
| 355, 3921 |
∴ So the LCM of the given numbers is 2 x 355 x 3921 = 2783910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2783910
Therefore, the GCF of Fractions 3395/710,6616/7842 is 1/2783910
Least Common Multiple of 710,7842 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 710,7842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,7842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,7842) x common factors =2 x 1 = 2
LCM(710,7842) = ( 710 × 7842 ) / 2
LCM(710,7842) = 5567820 / 2
LCM(710,7842) = 2783910
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FAQs on GCF of Fractions of 3395/710, 6616/7842
1. What is the HCF of 3395,6616?
The HCF of 3395,6616 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 3395/710, 6616/7842?
Answer: GCF of Numerators as per given numbers 3395/710, 6616/7842 is
GCF of Numerators i.e. for 3395,6616 is 1
LCM of denominators i.e. for 710,7842 is 2783910.
Thus, GCF of Fractions is 1/2783910.Finally, GCF of Fractions for 3395/710, 6616/7842 is 1/2783910.