GCF of 6728/224, 3114/5543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6728/224, 3114/5543 i.e 2/1241632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6728/224, 3114/5543.
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 6728/224,3114/5543?
Given fractions are 6728/224,3114/5543
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 6728/224,3114/5543, numerators are 6728,3114
Denominators are 224,5543
The GCF of 6728,3114 is 2 .
LCM of 224,5543 is 1241632.
The greatest common factor of 6728/224,3114/5543 = [GCF of 6728,3114]/[LCM of 224,5543]= 2/1241632
Therefore, the GCF of 6728/224,3114/5543 is 2/1241632.
To find the highest common factor of 6728,3114, we have to find the factors of both numbers and list the highest common factor.
The factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The HCF of 6728,3114 is 2.
Lets's calculate GCF of 6728,3114
| 2 | 6728, 3114 |
| 3364, 1557 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6728,3114 By Matching Biggest Common Factor Method
Now, list down the factors of 6728
:1,2,4,8,29,58,116,232,841,1682,3364,6728
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Greatest Common Factor
We found the factors 6728,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 6728,3114 is 2.
Lets's calculate LCM of 224,5543
Given numbers has no common factors except 1. So, there LCM is their product i.e 1241632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1241632
Therefore, the GCF of Fractions 6728/224,3114/5543 is 2/1241632
Least Common Multiple of 224,5543 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 224,5543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,5543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,5543) x common factors =1 x 1 = 1
LCM(224,5543) = ( 224 × 5543 ) / 1
LCM(224,5543) = 1241632 / 1
LCM(224,5543) = 1241632
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FAQs on GCF of Fractions of 6728/224, 3114/5543
1. What is the HCF of 6728,3114?
The HCF of 6728,3114 is 2
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 6728/224, 3114/5543?
Answer: GCF of Numerators as per given numbers 6728/224, 3114/5543 is
GCF of Numerators i.e. for 6728,3114 is 2
LCM of denominators i.e. for 224,5543 is 1241632.
Thus, GCF of Fractions is 2/1241632.Finally, GCF of Fractions for 6728/224, 3114/5543 is 2/1241632.