GCF of 8484/281, 1313/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8484/281, 1313/457 i.e 101/128417 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8484/281, 1313/457.
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 8484/281,1313/457?
Given fractions are 8484/281,1313/457
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 8484/281,1313/457, numerators are 8484,1313
Denominators are 281,457
The GCF of 8484,1313 is 101 .
LCM of 281,457 is 128417.
The greatest common factor of 8484/281,1313/457 = [GCF of 8484,1313]/[LCM of 281,457]= 101/128417
Therefore, the GCF of 8484/281,1313/457 is 101/128417.
To find the highest common factor of 8484,1313, we have to find the factors of both numbers and list the highest common factor.
The factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484
The factors of 1313 are 1, 13, 101, 1313
The HCF of 8484,1313 is 101.
Lets's calculate GCF of 8484,1313
| 101 | 8484, 1313 |
| 84, 13 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 8484,1313 By Matching Biggest Common Factor Method
Now, list down the factors of 8484
:1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484
Now, list down the factors of 1313
:1,13,101,1313
Greatest Common Factor
We found the factors 8484,1313 . The biggest common factor number is the GCF number.
So the greatest common factor 8484,1313 is 101.
Lets's calculate LCM of 281,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 128417
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/128417
Therefore, the GCF of Fractions 8484/281,1313/457 is 101/128417
Least Common Multiple of 281,457 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 281,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,457) x common factors =1 x 1 = 1
LCM(281,457) = ( 281 × 457 ) / 1
LCM(281,457) = 128417 / 1
LCM(281,457) = 128417
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FAQs on GCF of Fractions of 8484/281, 1313/457
1. What is the HCF of 8484,1313?
The HCF of 8484,1313 is 101
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 8484/281, 1313/457?
Answer: GCF of Numerators as per given numbers 8484/281, 1313/457 is
GCF of Numerators i.e. for 8484,1313 is 101
LCM of denominators i.e. for 281,457 is 128417.
Thus, GCF of Fractions is 101/128417.Finally, GCF of Fractions for 8484/281, 1313/457 is 101/128417.