GCF of 6263/159, 3646/7664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6263/159, 3646/7664 i.e 1/1218576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6263/159, 3646/7664.
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 6263/159,3646/7664?
Given fractions are 6263/159,3646/7664
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 6263/159,3646/7664, numerators are 6263,3646
Denominators are 159,7664
The GCF of 6263,3646 is 1 .
LCM of 159,7664 is 1218576.
The greatest common factor of 6263/159,3646/7664 = [GCF of 6263,3646]/[LCM of 159,7664]= 1/1218576
Therefore, the GCF of 6263/159,3646/7664 is 1/1218576.
To find the highest common factor of 6263,3646, we have to find the factors of both numbers and list the highest common factor.
The factors of 6263 are 1, 6263
The factors of 3646 are 1, 2, 1823, 3646
The HCF of 6263,3646 is 1.
Lets's calculate GCF of 6263,3646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6263,3646 By Matching Biggest Common Factor Method
Now, list down the factors of 6263
:1,6263
Now, list down the factors of 3646
:1,2,1823,3646
Greatest Common Factor
We found the factors 6263,3646 . The biggest common factor number is the GCF number.
So the greatest common factor 6263,3646 is 1.
Lets's calculate LCM of 159,7664
Given numbers has no common factors except 1. So, there LCM is their product i.e 1218576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1218576
Therefore, the GCF of Fractions 6263/159,3646/7664 is 1/1218576
Least Common Multiple of 159,7664 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 159,7664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,7664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,7664) x common factors =1 x 1 = 1
LCM(159,7664) = ( 159 × 7664 ) / 1
LCM(159,7664) = 1218576 / 1
LCM(159,7664) = 1218576
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FAQs on GCF of Fractions of 6263/159, 3646/7664
1. What is the HCF of 6263,3646?
The HCF of 6263,3646 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 6263/159, 3646/7664?
Answer: GCF of Numerators as per given numbers 6263/159, 3646/7664 is
GCF of Numerators i.e. for 6263,3646 is 1
LCM of denominators i.e. for 159,7664 is 1218576.
Thus, GCF of Fractions is 1/1218576.Finally, GCF of Fractions for 6263/159, 3646/7664 is 1/1218576.