GCF of 5814/551, 9876/8456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5814/551, 9876/8456 i.e 6/4659256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5814/551, 9876/8456.
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 5814/551,9876/8456?
Given fractions are 5814/551,9876/8456
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 5814/551,9876/8456, numerators are 5814,9876
Denominators are 551,8456
The GCF of 5814,9876 is 6 .
LCM of 551,8456 is 4659256.
The greatest common factor of 5814/551,9876/8456 = [GCF of 5814,9876]/[LCM of 551,8456]= 6/4659256
Therefore, the GCF of 5814/551,9876/8456 is 6/4659256.
To find the highest common factor of 5814,9876, we have to find the factors of both numbers and list the highest common factor.
The factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The HCF of 5814,9876 is 6.
Lets's calculate GCF of 5814,9876
| 2 | 5814, 9876 |
| 3 | 2907, 4938 |
| 969, 1646 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5814,9876 By Matching Biggest Common Factor Method
Now, list down the factors of 5814
:1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Greatest Common Factor
We found the factors 5814,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 5814,9876 is 6.
Lets's calculate LCM of 551,8456
Given numbers has no common factors except 1. So, there LCM is their product i.e 4659256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4659256
Therefore, the GCF of Fractions 5814/551,9876/8456 is 6/4659256
Least Common Multiple of 551,8456 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 551,8456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,8456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,8456) x common factors =1 x 1 = 1
LCM(551,8456) = ( 551 × 8456 ) / 1
LCM(551,8456) = 4659256 / 1
LCM(551,8456) = 4659256
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FAQs on GCF of Fractions of 5814/551, 9876/8456
1. What is the HCF of 5814,9876?
The HCF of 5814,9876 is 6
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 5814/551, 9876/8456?
Answer: GCF of Numerators as per given numbers 5814/551, 9876/8456 is
GCF of Numerators i.e. for 5814,9876 is 6
LCM of denominators i.e. for 551,8456 is 4659256.
Thus, GCF of Fractions is 6/4659256.Finally, GCF of Fractions for 5814/551, 9876/8456 is 6/4659256.