GCF of 5696/831, 2344/6832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5696/831, 2344/6832 i.e 8/5677392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5696/831, 2344/6832.
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 5696/831,2344/6832?
Given fractions are 5696/831,2344/6832
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 5696/831,2344/6832, numerators are 5696,2344
Denominators are 831,6832
The GCF of 5696,2344 is 8 .
LCM of 831,6832 is 5677392.
The greatest common factor of 5696/831,2344/6832 = [GCF of 5696,2344]/[LCM of 831,6832]= 8/5677392
Therefore, the GCF of 5696/831,2344/6832 is 8/5677392.
To find the highest common factor of 5696,2344, we have to find the factors of both numbers and list the highest common factor.
The factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696
The factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344
The HCF of 5696,2344 is 8.
Lets's calculate GCF of 5696,2344
| 2 | 5696, 2344 |
| 2 | 2848, 1172 |
| 2 | 1424, 586 |
| 712, 293 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5696,2344 By Matching Biggest Common Factor Method
Now, list down the factors of 5696
:1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696
Now, list down the factors of 2344
:1,2,4,8,293,586,1172,2344
Greatest Common Factor
We found the factors 5696,2344 . The biggest common factor number is the GCF number.
So the greatest common factor 5696,2344 is 8.
Lets's calculate LCM of 831,6832
Given numbers has no common factors except 1. So, there LCM is their product i.e 5677392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5677392
Therefore, the GCF of Fractions 5696/831,2344/6832 is 8/5677392
Least Common Multiple of 831,6832 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 831,6832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,6832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,6832) x common factors =1 x 1 = 1
LCM(831,6832) = ( 831 × 6832 ) / 1
LCM(831,6832) = 5677392 / 1
LCM(831,6832) = 5677392
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FAQs on GCF of Fractions of 5696/831, 2344/6832
1. What is the HCF of 5696,2344?
The HCF of 5696,2344 is 8
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 5696/831, 2344/6832?
Answer: GCF of Numerators as per given numbers 5696/831, 2344/6832 is
GCF of Numerators i.e. for 5696,2344 is 8
LCM of denominators i.e. for 831,6832 is 5677392.
Thus, GCF of Fractions is 8/5677392.Finally, GCF of Fractions for 5696/831, 2344/6832 is 8/5677392.