GCF of 6865/26, 2808/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6865/26, 2808/874 i.e 1/11362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6865/26, 2808/874.
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 6865/26,2808/874?
Given fractions are 6865/26,2808/874
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 6865/26,2808/874, numerators are 6865,2808
Denominators are 26,874
The GCF of 6865,2808 is 1 .
LCM of 26,874 is 11362.
The greatest common factor of 6865/26,2808/874 = [GCF of 6865,2808]/[LCM of 26,874]= 1/11362
Therefore, the GCF of 6865/26,2808/874 is 1/11362.
To find the highest common factor of 6865,2808, we have to find the factors of both numbers and list the highest common factor.
The factors of 6865 are 1, 5, 1373, 6865
The factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808
The HCF of 6865,2808 is 1.
Lets's calculate GCF of 6865,2808
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6865,2808 By Matching Biggest Common Factor Method
Now, list down the factors of 6865
:1,5,1373,6865
Now, list down the factors of 2808
:1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808
Greatest Common Factor
We found the factors 6865,2808 . The biggest common factor number is the GCF number.
So the greatest common factor 6865,2808 is 1.
Lets's calculate LCM of 26,874
| 2 | 26, 874 |
| 13, 437 |
∴ So the LCM of the given numbers is 2 x 13 x 437 = 11362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11362
Therefore, the GCF of Fractions 6865/26,2808/874 is 1/11362
Least Common Multiple of 26,874 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 26,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,874) x common factors =2 x 1 = 2
LCM(26,874) = ( 26 × 874 ) / 2
LCM(26,874) = 22724 / 2
LCM(26,874) = 11362
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FAQs on GCF of Fractions of 6865/26, 2808/874
1. What is the HCF of 6865,2808?
The HCF of 6865,2808 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 6865/26, 2808/874?
Answer: GCF of Numerators as per given numbers 6865/26, 2808/874 is
GCF of Numerators i.e. for 6865,2808 is 1
LCM of denominators i.e. for 26,874 is 11362.
Thus, GCF of Fractions is 1/11362.Finally, GCF of Fractions for 6865/26, 2808/874 is 1/11362.