GCF of 5056/833, 3038/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5056/833, 3038/675 i.e 2/562275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5056/833, 3038/675.
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 5056/833,3038/675?
Given fractions are 5056/833,3038/675
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 5056/833,3038/675, numerators are 5056,3038
Denominators are 833,675
The GCF of 5056,3038 is 2 .
LCM of 833,675 is 562275.
The greatest common factor of 5056/833,3038/675 = [GCF of 5056,3038]/[LCM of 833,675]= 2/562275
Therefore, the GCF of 5056/833,3038/675 is 2/562275.
To find the highest common factor of 5056,3038, we have to find the factors of both numbers and list the highest common factor.
The factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056
The factors of 3038 are 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038
The HCF of 5056,3038 is 2.
Lets's calculate GCF of 5056,3038
| 2 | 5056, 3038 |
| 2528, 1519 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5056,3038 By Matching Biggest Common Factor Method
Now, list down the factors of 5056
:1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
Now, list down the factors of 3038
:1,2,7,14,31,49,62,98,217,434,1519,3038
Greatest Common Factor
We found the factors 5056,3038 . The biggest common factor number is the GCF number.
So the greatest common factor 5056,3038 is 2.
Lets's calculate LCM of 833,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 562275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/562275
Therefore, the GCF of Fractions 5056/833,3038/675 is 2/562275
Least Common Multiple of 833,675 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 833,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,675) x common factors =1 x 1 = 1
LCM(833,675) = ( 833 × 675 ) / 1
LCM(833,675) = 562275 / 1
LCM(833,675) = 562275
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FAQs on GCF of Fractions of 5056/833, 3038/675
1. What is the HCF of 5056,3038?
The HCF of 5056,3038 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 5056/833, 3038/675?
Answer: GCF of Numerators as per given numbers 5056/833, 3038/675 is
GCF of Numerators i.e. for 5056,3038 is 2
LCM of denominators i.e. for 833,675 is 562275.
Thus, GCF of Fractions is 2/562275.Finally, GCF of Fractions for 5056/833, 3038/675 is 2/562275.