GCF of 8432/303, 2735/6941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8432/303, 2735/6941 i.e 1/2103123 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8432/303, 2735/6941.
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 8432/303,2735/6941?
Given fractions are 8432/303,2735/6941
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 8432/303,2735/6941, numerators are 8432,2735
Denominators are 303,6941
The GCF of 8432,2735 is 1 .
LCM of 303,6941 is 2103123.
The greatest common factor of 8432/303,2735/6941 = [GCF of 8432,2735]/[LCM of 303,6941]= 1/2103123
Therefore, the GCF of 8432/303,2735/6941 is 1/2103123.
To find the highest common factor of 8432,2735, we have to find the factors of both numbers and list the highest common factor.
The factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432
The factors of 2735 are 1, 5, 547, 2735
The HCF of 8432,2735 is 1.
Lets's calculate GCF of 8432,2735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8432,2735 By Matching Biggest Common Factor Method
Now, list down the factors of 8432
:1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432
Now, list down the factors of 2735
:1,5,547,2735
Greatest Common Factor
We found the factors 8432,2735 . The biggest common factor number is the GCF number.
So the greatest common factor 8432,2735 is 1.
Lets's calculate LCM of 303,6941
Given numbers has no common factors except 1. So, there LCM is their product i.e 2103123
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2103123
Therefore, the GCF of Fractions 8432/303,2735/6941 is 1/2103123
Least Common Multiple of 303,6941 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 303,6941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,6941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,6941) x common factors =1 x 1 = 1
LCM(303,6941) = ( 303 × 6941 ) / 1
LCM(303,6941) = 2103123 / 1
LCM(303,6941) = 2103123
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FAQs on GCF of Fractions of 8432/303, 2735/6941
1. What is the HCF of 8432,2735?
The HCF of 8432,2735 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 8432/303, 2735/6941?
Answer: GCF of Numerators as per given numbers 8432/303, 2735/6941 is
GCF of Numerators i.e. for 8432,2735 is 1
LCM of denominators i.e. for 303,6941 is 2103123.
Thus, GCF of Fractions is 1/2103123.Finally, GCF of Fractions for 8432/303, 2735/6941 is 1/2103123.