GCF of 5998/583, 1362/7219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5998/583, 1362/7219 i.e 2/4208677 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5998/583, 1362/7219.
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 5998/583,1362/7219?
Given fractions are 5998/583,1362/7219
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 5998/583,1362/7219, numerators are 5998,1362
Denominators are 583,7219
The GCF of 5998,1362 is 2 .
LCM of 583,7219 is 4208677.
The greatest common factor of 5998/583,1362/7219 = [GCF of 5998,1362]/[LCM of 583,7219]= 2/4208677
Therefore, the GCF of 5998/583,1362/7219 is 2/4208677.
To find the highest common factor of 5998,1362, we have to find the factors of both numbers and list the highest common factor.
The factors of 5998 are 1, 2, 2999, 5998
The factors of 1362 are 1, 2, 3, 6, 227, 454, 681, 1362
The HCF of 5998,1362 is 2.
Lets's calculate GCF of 5998,1362
| 2 | 5998, 1362 |
| 2999, 681 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5998,1362 By Matching Biggest Common Factor Method
Now, list down the factors of 5998
:1,2,2999,5998
Now, list down the factors of 1362
:1,2,3,6,227,454,681,1362
Greatest Common Factor
We found the factors 5998,1362 . The biggest common factor number is the GCF number.
So the greatest common factor 5998,1362 is 2.
Lets's calculate LCM of 583,7219
Given numbers has no common factors except 1. So, there LCM is their product i.e 4208677
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4208677
Therefore, the GCF of Fractions 5998/583,1362/7219 is 2/4208677
Least Common Multiple of 583,7219 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 583,7219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,7219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,7219) x common factors =1 x 1 = 1
LCM(583,7219) = ( 583 × 7219 ) / 1
LCM(583,7219) = 4208677 / 1
LCM(583,7219) = 4208677
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FAQs on GCF of Fractions of 5998/583, 1362/7219
1. What is the HCF of 5998,1362?
The HCF of 5998,1362 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 5998/583, 1362/7219?
Answer: GCF of Numerators as per given numbers 5998/583, 1362/7219 is
GCF of Numerators i.e. for 5998,1362 is 2
LCM of denominators i.e. for 583,7219 is 4208677.
Thus, GCF of Fractions is 2/4208677.Finally, GCF of Fractions for 5998/583, 1362/7219 is 2/4208677.