GCF of 4195/536, 4316/6553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4195/536, 4316/6553 i.e 1/3512408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4195/536, 4316/6553.
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 4195/536,4316/6553?
Given fractions are 4195/536,4316/6553
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 4195/536,4316/6553, numerators are 4195,4316
Denominators are 536,6553
The GCF of 4195,4316 is 1 .
LCM of 536,6553 is 3512408.
The greatest common factor of 4195/536,4316/6553 = [GCF of 4195,4316]/[LCM of 536,6553]= 1/3512408
Therefore, the GCF of 4195/536,4316/6553 is 1/3512408.
To find the highest common factor of 4195,4316, we have to find the factors of both numbers and list the highest common factor.
The factors of 4195 are 1, 5, 839, 4195
The factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316
The HCF of 4195,4316 is 1.
Lets's calculate GCF of 4195,4316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4195,4316 By Matching Biggest Common Factor Method
Now, list down the factors of 4195
:1,5,839,4195
Now, list down the factors of 4316
:1,2,4,13,26,52,83,166,332,1079,2158,4316
Greatest Common Factor
We found the factors 4195,4316 . The biggest common factor number is the GCF number.
So the greatest common factor 4195,4316 is 1.
Lets's calculate LCM of 536,6553
Given numbers has no common factors except 1. So, there LCM is their product i.e 3512408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3512408
Therefore, the GCF of Fractions 4195/536,4316/6553 is 1/3512408
Least Common Multiple of 536,6553 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 536,6553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,6553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,6553) x common factors =1 x 1 = 1
LCM(536,6553) = ( 536 × 6553 ) / 1
LCM(536,6553) = 3512408 / 1
LCM(536,6553) = 3512408
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FAQs on GCF of Fractions of 4195/536, 4316/6553
1. What is the HCF of 4195,4316?
The HCF of 4195,4316 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 4195/536, 4316/6553?
Answer: GCF of Numerators as per given numbers 4195/536, 4316/6553 is
GCF of Numerators i.e. for 4195,4316 is 1
LCM of denominators i.e. for 536,6553 is 3512408.
Thus, GCF of Fractions is 1/3512408.Finally, GCF of Fractions for 4195/536, 4316/6553 is 1/3512408.