GCF of 8484/716, 8984/4042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8484/716, 8984/4042 i.e 4/1447036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8484/716, 8984/4042.
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 8484/716,8984/4042?
Given fractions are 8484/716,8984/4042
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 8484/716,8984/4042, numerators are 8484,8984
Denominators are 716,4042
The GCF of 8484,8984 is 4 .
LCM of 716,4042 is 1447036.
The greatest common factor of 8484/716,8984/4042 = [GCF of 8484,8984]/[LCM of 716,4042]= 4/1447036
Therefore, the GCF of 8484/716,8984/4042 is 4/1447036.
To find the highest common factor of 8484,8984, 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 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984
The HCF of 8484,8984 is 4.
Lets's calculate GCF of 8484,8984
| 2 | 8484, 8984 |
| 2 | 4242, 4492 |
| 2121, 2246 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8484,8984 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 8984
:1,2,4,8,1123,2246,4492,8984
Greatest Common Factor
We found the factors 8484,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 8484,8984 is 4.
Lets's calculate LCM of 716,4042
| 2 | 716, 4042 |
| 358, 2021 |
∴ So the LCM of the given numbers is 2 x 358 x 2021 = 1447036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1447036
Therefore, the GCF of Fractions 8484/716,8984/4042 is 4/1447036
Least Common Multiple of 716,4042 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 716,4042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,4042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,4042) x common factors =2 x 1 = 2
LCM(716,4042) = ( 716 × 4042 ) / 2
LCM(716,4042) = 2894072 / 2
LCM(716,4042) = 1447036
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FAQs on GCF of Fractions of 8484/716, 8984/4042
1. What is the HCF of 8484,8984?
The HCF of 8484,8984 is 4
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 8484/716, 8984/4042?
Answer: GCF of Numerators as per given numbers 8484/716, 8984/4042 is
GCF of Numerators i.e. for 8484,8984 is 4
LCM of denominators i.e. for 716,4042 is 1447036.
Thus, GCF of Fractions is 4/1447036.Finally, GCF of Fractions for 8484/716, 8984/4042 is 4/1447036.