GCF of 6098/680, 8484/5582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6098/680, 8484/5582 i.e 2/1897880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6098/680, 8484/5582.
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 6098/680,8484/5582?
Given fractions are 6098/680,8484/5582
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 6098/680,8484/5582, numerators are 6098,8484
Denominators are 680,5582
The GCF of 6098,8484 is 2 .
LCM of 680,5582 is 1897880.
The greatest common factor of 6098/680,8484/5582 = [GCF of 6098,8484]/[LCM of 680,5582]= 2/1897880
Therefore, the GCF of 6098/680,8484/5582 is 2/1897880.
To find the highest common factor of 6098,8484, we have to find the factors of both numbers and list the highest common factor.
The factors of 6098 are 1, 2, 3049, 6098
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 HCF of 6098,8484 is 2.
Lets's calculate GCF of 6098,8484
| 2 | 6098, 8484 |
| 3049, 4242 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6098,8484 By Matching Biggest Common Factor Method
Now, list down the factors of 6098
:1,2,3049,6098
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
Greatest Common Factor
We found the factors 6098,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 6098,8484 is 2.
Lets's calculate LCM of 680,5582
| 2 | 680, 5582 |
| 340, 2791 |
∴ So the LCM of the given numbers is 2 x 340 x 2791 = 1897880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1897880
Therefore, the GCF of Fractions 6098/680,8484/5582 is 2/1897880
Least Common Multiple of 680,5582 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 680,5582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,5582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,5582) x common factors =2 x 1 = 2
LCM(680,5582) = ( 680 × 5582 ) / 2
LCM(680,5582) = 3795760 / 2
LCM(680,5582) = 1897880
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FAQs on GCF of Fractions of 6098/680, 8484/5582
1. What is the HCF of 6098,8484?
The HCF of 6098,8484 is 2
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 6098/680, 8484/5582?
Answer: GCF of Numerators as per given numbers 6098/680, 8484/5582 is
GCF of Numerators i.e. for 6098,8484 is 2
LCM of denominators i.e. for 680,5582 is 1897880.
Thus, GCF of Fractions is 2/1897880.Finally, GCF of Fractions for 6098/680, 8484/5582 is 2/1897880.