GCF of 5890/867, 1522/562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5890/867, 1522/562 i.e 2/487254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5890/867, 1522/562.
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 5890/867,1522/562?
Given fractions are 5890/867,1522/562
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 5890/867,1522/562, numerators are 5890,1522
Denominators are 867,562
The GCF of 5890,1522 is 2 .
LCM of 867,562 is 487254.
The greatest common factor of 5890/867,1522/562 = [GCF of 5890,1522]/[LCM of 867,562]= 2/487254
Therefore, the GCF of 5890/867,1522/562 is 2/487254.
To find the highest common factor of 5890,1522, we have to find the factors of both numbers and list the highest common factor.
The factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
The factors of 1522 are 1, 2, 761, 1522
The HCF of 5890,1522 is 2.
Lets's calculate GCF of 5890,1522
| 2 | 5890, 1522 |
| 2945, 761 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5890,1522 By Matching Biggest Common Factor Method
Now, list down the factors of 5890
:1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890
Now, list down the factors of 1522
:1,2,761,1522
Greatest Common Factor
We found the factors 5890,1522 . The biggest common factor number is the GCF number.
So the greatest common factor 5890,1522 is 2.
Lets's calculate LCM of 867,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 487254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/487254
Therefore, the GCF of Fractions 5890/867,1522/562 is 2/487254
Least Common Multiple of 867,562 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 867,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,562) x common factors =1 x 1 = 1
LCM(867,562) = ( 867 × 562 ) / 1
LCM(867,562) = 487254 / 1
LCM(867,562) = 487254
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FAQs on GCF of Fractions of 5890/867, 1522/562
1. What is the HCF of 5890,1522?
The HCF of 5890,1522 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 5890/867, 1522/562?
Answer: GCF of Numerators as per given numbers 5890/867, 1522/562 is
GCF of Numerators i.e. for 5890,1522 is 2
LCM of denominators i.e. for 867,562 is 487254.
Thus, GCF of Fractions is 2/487254.Finally, GCF of Fractions for 5890/867, 1522/562 is 2/487254.