GCF of 6879/701, 8124/4267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6879/701, 8124/4267 i.e 3/2991167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6879/701, 8124/4267.
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 6879/701,8124/4267?
Given fractions are 6879/701,8124/4267
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 6879/701,8124/4267, numerators are 6879,8124
Denominators are 701,4267
The GCF of 6879,8124 is 3 .
LCM of 701,4267 is 2991167.
The greatest common factor of 6879/701,8124/4267 = [GCF of 6879,8124]/[LCM of 701,4267]= 3/2991167
Therefore, the GCF of 6879/701,8124/4267 is 3/2991167.
To find the highest common factor of 6879,8124, 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 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124
The HCF of 6879,8124 is 3.
Lets's calculate GCF of 6879,8124
| 3 | 6879, 8124 |
| 2293, 2708 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6879,8124 By Matching Biggest Common Factor Method
Now, list down the factors of 6879
:1,3,2293,6879
Now, list down the factors of 8124
:1,2,3,4,6,12,677,1354,2031,2708,4062,8124
Greatest Common Factor
We found the factors 6879,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 6879,8124 is 3.
Lets's calculate LCM of 701,4267
Given numbers has no common factors except 1. So, there LCM is their product i.e 2991167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2991167
Therefore, the GCF of Fractions 6879/701,8124/4267 is 3/2991167
Least Common Multiple of 701,4267 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 701,4267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,4267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,4267) x common factors =1 x 1 = 1
LCM(701,4267) = ( 701 × 4267 ) / 1
LCM(701,4267) = 2991167 / 1
LCM(701,4267) = 2991167
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FAQs on GCF of Fractions of 6879/701, 8124/4267
1. What is the HCF of 6879,8124?
The HCF of 6879,8124 is 3
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 6879/701, 8124/4267?
Answer: GCF of Numerators as per given numbers 6879/701, 8124/4267 is
GCF of Numerators i.e. for 6879,8124 is 3
LCM of denominators i.e. for 701,4267 is 2991167.
Thus, GCF of Fractions is 3/2991167.Finally, GCF of Fractions for 6879/701, 8124/4267 is 3/2991167.