GCF of 5756/630, 6868/6415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5756/630, 6868/6415 i.e 4/808290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5756/630, 6868/6415.
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 5756/630,6868/6415?
Given fractions are 5756/630,6868/6415
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 5756/630,6868/6415, numerators are 5756,6868
Denominators are 630,6415
The GCF of 5756,6868 is 4 .
LCM of 630,6415 is 808290.
The greatest common factor of 5756/630,6868/6415 = [GCF of 5756,6868]/[LCM of 630,6415]= 4/808290
Therefore, the GCF of 5756/630,6868/6415 is 4/808290.
To find the highest common factor of 5756,6868, we have to find the factors of both numbers and list the highest common factor.
The factors of 5756 are 1, 2, 4, 1439, 2878, 5756
The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868
The HCF of 5756,6868 is 4.
Lets's calculate GCF of 5756,6868
| 2 | 5756, 6868 |
| 2 | 2878, 3434 |
| 1439, 1717 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5756,6868 By Matching Biggest Common Factor Method
Now, list down the factors of 5756
:1,2,4,1439,2878,5756
Now, list down the factors of 6868
:1,2,4,17,34,68,101,202,404,1717,3434,6868
Greatest Common Factor
We found the factors 5756,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 5756,6868 is 4.
Lets's calculate LCM of 630,6415
| 5 | 630, 6415 |
| 126, 1283 |
∴ So the LCM of the given numbers is 5 x 126 x 1283 = 808290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/808290
Therefore, the GCF of Fractions 5756/630,6868/6415 is 4/808290
Least Common Multiple of 630,6415 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 630,6415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,6415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(630,6415) x common factors =5 x 1 = 5
LCM(630,6415) = ( 630 × 6415 ) / 5
LCM(630,6415) = 4041450 / 5
LCM(630,6415) = 808290
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FAQs on GCF of Fractions of 5756/630, 6868/6415
1. What is the HCF of 5756,6868?
The HCF of 5756,6868 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 5756/630, 6868/6415?
Answer: GCF of Numerators as per given numbers 5756/630, 6868/6415 is
GCF of Numerators i.e. for 5756,6868 is 4
LCM of denominators i.e. for 630,6415 is 808290.
Thus, GCF of Fractions is 4/808290.Finally, GCF of Fractions for 5756/630, 6868/6415 is 4/808290.