GCF of 3416/756, 6303/9715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3416/756, 6303/9715 i.e 1/7344540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3416/756, 6303/9715.
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 3416/756,6303/9715?
Given fractions are 3416/756,6303/9715
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 3416/756,6303/9715, numerators are 3416,6303
Denominators are 756,9715
The GCF of 3416,6303 is 1 .
LCM of 756,9715 is 7344540.
The greatest common factor of 3416/756,6303/9715 = [GCF of 3416,6303]/[LCM of 756,9715]= 1/7344540
Therefore, the GCF of 3416/756,6303/9715 is 1/7344540.
To find the highest common factor of 3416,6303, we have to find the factors of both numbers and list the highest common factor.
The factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416
The factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303
The HCF of 3416,6303 is 1.
Lets's calculate GCF of 3416,6303
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3416,6303 By Matching Biggest Common Factor Method
Now, list down the factors of 3416
:1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416
Now, list down the factors of 6303
:1,3,11,33,191,573,2101,6303
Greatest Common Factor
We found the factors 3416,6303 . The biggest common factor number is the GCF number.
So the greatest common factor 3416,6303 is 1.
Lets's calculate LCM of 756,9715
Given numbers has no common factors except 1. So, there LCM is their product i.e 7344540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7344540
Therefore, the GCF of Fractions 3416/756,6303/9715 is 1/7344540
Least Common Multiple of 756,9715 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 756,9715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,9715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(756,9715) x common factors =1 x 1 = 1
LCM(756,9715) = ( 756 × 9715 ) / 1
LCM(756,9715) = 7344540 / 1
LCM(756,9715) = 7344540
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FAQs on GCF of Fractions of 3416/756, 6303/9715
1. What is the HCF of 3416,6303?
The HCF of 3416,6303 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 3416/756, 6303/9715?
Answer: GCF of Numerators as per given numbers 3416/756, 6303/9715 is
GCF of Numerators i.e. for 3416,6303 is 1
LCM of denominators i.e. for 756,9715 is 7344540.
Thus, GCF of Fractions is 1/7344540.Finally, GCF of Fractions for 3416/756, 6303/9715 is 1/7344540.