GCF of 8111/646, 1504/4624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8111/646, 1504/4624 i.e 1/87856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8111/646, 1504/4624.
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 8111/646,1504/4624?
Given fractions are 8111/646,1504/4624
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 8111/646,1504/4624, numerators are 8111,1504
Denominators are 646,4624
The GCF of 8111,1504 is 1 .
LCM of 646,4624 is 87856.
The greatest common factor of 8111/646,1504/4624 = [GCF of 8111,1504]/[LCM of 646,4624]= 1/87856
Therefore, the GCF of 8111/646,1504/4624 is 1/87856.
To find the highest common factor of 8111,1504, we have to find the factors of both numbers and list the highest common factor.
The factors of 8111 are 1, 8111
The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
The HCF of 8111,1504 is 1.
Lets's calculate GCF of 8111,1504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8111,1504 By Matching Biggest Common Factor Method
Now, list down the factors of 8111
:1,8111
Now, list down the factors of 1504
:1,2,4,8,16,32,47,94,188,376,752,1504
Greatest Common Factor
We found the factors 8111,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 8111,1504 is 1.
Lets's calculate LCM of 646,4624
| 2 | 646, 4624 |
| 17 | 323, 2312 |
| 19, 136 |
∴ So the LCM of the given numbers is 2 x 17 x 19 x 136 = 87856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87856
Therefore, the GCF of Fractions 8111/646,1504/4624 is 1/87856
Least Common Multiple of 646,4624 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 646,4624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,4624) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(646,4624) x common factors =34 x 1 = 34
LCM(646,4624) = ( 646 × 4624 ) / 34
LCM(646,4624) = 2987104 / 34
LCM(646,4624) = 87856
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FAQs on GCF of Fractions of 8111/646, 1504/4624
1. What is the HCF of 8111,1504?
The HCF of 8111,1504 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 8111/646, 1504/4624?
Answer: GCF of Numerators as per given numbers 8111/646, 1504/4624 is
GCF of Numerators i.e. for 8111,1504 is 1
LCM of denominators i.e. for 646,4624 is 87856.
Thus, GCF of Fractions is 1/87856.Finally, GCF of Fractions for 8111/646, 1504/4624 is 1/87856.