GCF of 6875/754, 5786/4788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6875/754, 5786/4788 i.e 11/1805076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6875/754, 5786/4788.
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 6875/754,5786/4788?
Given fractions are 6875/754,5786/4788
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 6875/754,5786/4788, numerators are 6875,5786
Denominators are 754,4788
The GCF of 6875,5786 is 11 .
LCM of 754,4788 is 1805076.
The greatest common factor of 6875/754,5786/4788 = [GCF of 6875,5786]/[LCM of 754,4788]= 11/1805076
Therefore, the GCF of 6875/754,5786/4788 is 11/1805076.
To find the highest common factor of 6875,5786, we have to find the factors of both numbers and list the highest common factor.
The factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875
The factors of 5786 are 1, 2, 11, 22, 263, 526, 2893, 5786
The HCF of 6875,5786 is 11.
Lets's calculate GCF of 6875,5786
| 11 | 6875, 5786 |
| 625, 526 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6875,5786 By Matching Biggest Common Factor Method
Now, list down the factors of 6875
:1,5,11,25,55,125,275,625,1375,6875
Now, list down the factors of 5786
:1,2,11,22,263,526,2893,5786
Greatest Common Factor
We found the factors 6875,5786 . The biggest common factor number is the GCF number.
So the greatest common factor 6875,5786 is 11.
Lets's calculate LCM of 754,4788
| 2 | 754, 4788 |
| 377, 2394 |
∴ So the LCM of the given numbers is 2 x 377 x 2394 = 1805076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1805076
Therefore, the GCF of Fractions 6875/754,5786/4788 is 11/1805076
Least Common Multiple of 754,4788 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 754,4788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,4788) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,4788) x common factors =2 x 1 = 2
LCM(754,4788) = ( 754 × 4788 ) / 2
LCM(754,4788) = 3610152 / 2
LCM(754,4788) = 1805076
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FAQs on GCF of Fractions of 6875/754, 5786/4788
1. What is the HCF of 6875,5786?
The HCF of 6875,5786 is 11
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 6875/754, 5786/4788?
Answer: GCF of Numerators as per given numbers 6875/754, 5786/4788 is
GCF of Numerators i.e. for 6875,5786 is 11
LCM of denominators i.e. for 754,4788 is 1805076.
Thus, GCF of Fractions is 11/1805076.Finally, GCF of Fractions for 6875/754, 5786/4788 is 11/1805076.