GCF of 5282/312, 5194/1567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5282/312, 5194/1567 i.e 2/488904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5282/312, 5194/1567.
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 5282/312,5194/1567?
Given fractions are 5282/312,5194/1567
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 5282/312,5194/1567, numerators are 5282,5194
Denominators are 312,1567
The GCF of 5282,5194 is 2 .
LCM of 312,1567 is 488904.
The greatest common factor of 5282/312,5194/1567 = [GCF of 5282,5194]/[LCM of 312,1567]= 2/488904
Therefore, the GCF of 5282/312,5194/1567 is 2/488904.
To find the highest common factor of 5282,5194, we have to find the factors of both numbers and list the highest common factor.
The factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282
The factors of 5194 are 1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194
The HCF of 5282,5194 is 2.
Lets's calculate GCF of 5282,5194
| 2 | 5282, 5194 |
| 2641, 2597 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5282,5194 By Matching Biggest Common Factor Method
Now, list down the factors of 5282
:1,2,19,38,139,278,2641,5282
Now, list down the factors of 5194
:1,2,7,14,49,53,98,106,371,742,2597,5194
Greatest Common Factor
We found the factors 5282,5194 . The biggest common factor number is the GCF number.
So the greatest common factor 5282,5194 is 2.
Lets's calculate LCM of 312,1567
Given numbers has no common factors except 1. So, there LCM is their product i.e 488904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/488904
Therefore, the GCF of Fractions 5282/312,5194/1567 is 2/488904
Least Common Multiple of 312,1567 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 312,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,1567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,1567) x common factors =1 x 1 = 1
LCM(312,1567) = ( 312 × 1567 ) / 1
LCM(312,1567) = 488904 / 1
LCM(312,1567) = 488904
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FAQs on GCF of Fractions of 5282/312, 5194/1567
1. What is the HCF of 5282,5194?
The HCF of 5282,5194 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 5282/312, 5194/1567?
Answer: GCF of Numerators as per given numbers 5282/312, 5194/1567 is
GCF of Numerators i.e. for 5282,5194 is 2
LCM of denominators i.e. for 312,1567 is 488904.
Thus, GCF of Fractions is 2/488904.Finally, GCF of Fractions for 5282/312, 5194/1567 is 2/488904.