GCF of 6143/934, 5056/8924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6143/934, 5056/8924 i.e 1/4167508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6143/934, 5056/8924.
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 6143/934,5056/8924?
Given fractions are 6143/934,5056/8924
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 6143/934,5056/8924, numerators are 6143,5056
Denominators are 934,8924
The GCF of 6143,5056 is 1 .
LCM of 934,8924 is 4167508.
The greatest common factor of 6143/934,5056/8924 = [GCF of 6143,5056]/[LCM of 934,8924]= 1/4167508
Therefore, the GCF of 6143/934,5056/8924 is 1/4167508.
To find the highest common factor of 6143,5056, we have to find the factors of both numbers and list the highest common factor.
The factors of 6143 are 1, 6143
The factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056
The HCF of 6143,5056 is 1.
Lets's calculate GCF of 6143,5056
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6143,5056 By Matching Biggest Common Factor Method
Now, list down the factors of 6143
:1,6143
Now, list down the factors of 5056
:1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
Greatest Common Factor
We found the factors 6143,5056 . The biggest common factor number is the GCF number.
So the greatest common factor 6143,5056 is 1.
Lets's calculate LCM of 934,8924
| 2 | 934, 8924 |
| 467, 4462 |
∴ So the LCM of the given numbers is 2 x 467 x 4462 = 4167508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4167508
Therefore, the GCF of Fractions 6143/934,5056/8924 is 1/4167508
Least Common Multiple of 934,8924 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 934,8924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,8924) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,8924) x common factors =2 x 1 = 2
LCM(934,8924) = ( 934 × 8924 ) / 2
LCM(934,8924) = 8335016 / 2
LCM(934,8924) = 4167508
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FAQs on GCF of Fractions of 6143/934, 5056/8924
1. What is the HCF of 6143,5056?
The HCF of 6143,5056 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 6143/934, 5056/8924?
Answer: GCF of Numerators as per given numbers 6143/934, 5056/8924 is
GCF of Numerators i.e. for 6143,5056 is 1
LCM of denominators i.e. for 934,8924 is 4167508.
Thus, GCF of Fractions is 1/4167508.Finally, GCF of Fractions for 6143/934, 5056/8924 is 1/4167508.