GCF of 8484/641, 3451/307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8484/641, 3451/307 i.e 7/196787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8484/641, 3451/307.
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 8484/641,3451/307?
Given fractions are 8484/641,3451/307
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 8484/641,3451/307, numerators are 8484,3451
Denominators are 641,307
The GCF of 8484,3451 is 7 .
LCM of 641,307 is 196787.
The greatest common factor of 8484/641,3451/307 = [GCF of 8484,3451]/[LCM of 641,307]= 7/196787
Therefore, the GCF of 8484/641,3451/307 is 7/196787.
To find the highest common factor of 8484,3451, 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 3451 are 1, 7, 17, 29, 119, 203, 493, 3451
The HCF of 8484,3451 is 7.
Lets's calculate GCF of 8484,3451
| 7 | 8484, 3451 |
| 1212, 493 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8484,3451 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 3451
:1,7,17,29,119,203,493,3451
Greatest Common Factor
We found the factors 8484,3451 . The biggest common factor number is the GCF number.
So the greatest common factor 8484,3451 is 7.
Lets's calculate LCM of 641,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 196787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/196787
Therefore, the GCF of Fractions 8484/641,3451/307 is 7/196787
Least Common Multiple of 641,307 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 641,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,307) x common factors =1 x 1 = 1
LCM(641,307) = ( 641 × 307 ) / 1
LCM(641,307) = 196787 / 1
LCM(641,307) = 196787
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FAQs on GCF of Fractions of 8484/641, 3451/307
1. What is the HCF of 8484,3451?
The HCF of 8484,3451 is 7
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 8484/641, 3451/307?
Answer: GCF of Numerators as per given numbers 8484/641, 3451/307 is
GCF of Numerators i.e. for 8484,3451 is 7
LCM of denominators i.e. for 641,307 is 196787.
Thus, GCF of Fractions is 7/196787.Finally, GCF of Fractions for 8484/641, 3451/307 is 7/196787.