GCF of 6879/118, 8786/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6879/118, 8786/750 i.e 1/44250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6879/118, 8786/750.
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 6879/118,8786/750?
Given fractions are 6879/118,8786/750
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 6879/118,8786/750, numerators are 6879,8786
Denominators are 118,750
The GCF of 6879,8786 is 1 .
LCM of 118,750 is 44250.
The greatest common factor of 6879/118,8786/750 = [GCF of 6879,8786]/[LCM of 118,750]= 1/44250
Therefore, the GCF of 6879/118,8786/750 is 1/44250.
To find the highest common factor of 6879,8786, we have to find the factors of both numbers and list the highest common factor.
The factors of 6879 are 1, 3, 2293, 6879
The factors of 8786 are 1, 2, 23, 46, 191, 382, 4393, 8786
The HCF of 6879,8786 is 1.
Lets's calculate GCF of 6879,8786
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6879,8786 By Matching Biggest Common Factor Method
Now, list down the factors of 6879
:1,3,2293,6879
Now, list down the factors of 8786
:1,2,23,46,191,382,4393,8786
Greatest Common Factor
We found the factors 6879,8786 . The biggest common factor number is the GCF number.
So the greatest common factor 6879,8786 is 1.
Lets's calculate LCM of 118,750
| 2 | 118, 750 |
| 59, 375 |
∴ So the LCM of the given numbers is 2 x 59 x 375 = 44250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44250
Therefore, the GCF of Fractions 6879/118,8786/750 is 1/44250
Least Common Multiple of 118,750 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 118,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,750) x common factors =2 x 1 = 2
LCM(118,750) = ( 118 × 750 ) / 2
LCM(118,750) = 88500 / 2
LCM(118,750) = 44250
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FAQs on GCF of Fractions of 6879/118, 8786/750
1. What is the HCF of 6879,8786?
The HCF of 6879,8786 is 1
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 6879/118, 8786/750?
Answer: GCF of Numerators as per given numbers 6879/118, 8786/750 is
GCF of Numerators i.e. for 6879,8786 is 1
LCM of denominators i.e. for 118,750 is 44250.
Thus, GCF of Fractions is 1/44250.Finally, GCF of Fractions for 6879/118, 8786/750 is 1/44250.