GCF of 2935/379, 3362/6407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2935/379, 3362/6407 i.e 1/2428253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2935/379, 3362/6407.
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 2935/379,3362/6407?
Given fractions are 2935/379,3362/6407
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 2935/379,3362/6407, numerators are 2935,3362
Denominators are 379,6407
The GCF of 2935,3362 is 1 .
LCM of 379,6407 is 2428253.
The greatest common factor of 2935/379,3362/6407 = [GCF of 2935,3362]/[LCM of 379,6407]= 1/2428253
Therefore, the GCF of 2935/379,3362/6407 is 1/2428253.
To find the highest common factor of 2935,3362, we have to find the factors of both numbers and list the highest common factor.
The factors of 2935 are 1, 5, 587, 2935
The factors of 3362 are 1, 2, 41, 82, 1681, 3362
The HCF of 2935,3362 is 1.
Lets's calculate GCF of 2935,3362
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2935,3362 By Matching Biggest Common Factor Method
Now, list down the factors of 2935
:1,5,587,2935
Now, list down the factors of 3362
:1,2,41,82,1681,3362
Greatest Common Factor
We found the factors 2935,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 2935,3362 is 1.
Lets's calculate LCM of 379,6407
Given numbers has no common factors except 1. So, there LCM is their product i.e 2428253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2428253
Therefore, the GCF of Fractions 2935/379,3362/6407 is 1/2428253
Least Common Multiple of 379,6407 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 379,6407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,6407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,6407) x common factors =1 x 1 = 1
LCM(379,6407) = ( 379 × 6407 ) / 1
LCM(379,6407) = 2428253 / 1
LCM(379,6407) = 2428253
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FAQs on GCF of Fractions of 2935/379, 3362/6407
1. What is the HCF of 2935,3362?
The HCF of 2935,3362 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 2935/379, 3362/6407?
Answer: GCF of Numerators as per given numbers 2935/379, 3362/6407 is
GCF of Numerators i.e. for 2935,3362 is 1
LCM of denominators i.e. for 379,6407 is 2428253.
Thus, GCF of Fractions is 1/2428253.Finally, GCF of Fractions for 2935/379, 3362/6407 is 1/2428253.