GCF of 7362/619, 5901/3449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7362/619, 5901/3449 i.e 3/2134931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7362/619, 5901/3449.
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 7362/619,5901/3449?
Given fractions are 7362/619,5901/3449
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 7362/619,5901/3449, numerators are 7362,5901
Denominators are 619,3449
The GCF of 7362,5901 is 3 .
LCM of 619,3449 is 2134931.
The greatest common factor of 7362/619,5901/3449 = [GCF of 7362,5901]/[LCM of 619,3449]= 3/2134931
Therefore, the GCF of 7362/619,5901/3449 is 3/2134931.
To find the highest common factor of 7362,5901, we have to find the factors of both numbers and list the highest common factor.
The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362
The factors of 5901 are 1, 3, 7, 21, 281, 843, 1967, 5901
The HCF of 7362,5901 is 3.
Lets's calculate GCF of 7362,5901
| 3 | 7362, 5901 |
| 2454, 1967 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7362,5901 By Matching Biggest Common Factor Method
Now, list down the factors of 7362
:1,2,3,6,9,18,409,818,1227,2454,3681,7362
Now, list down the factors of 5901
:1,3,7,21,281,843,1967,5901
Greatest Common Factor
We found the factors 7362,5901 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,5901 is 3.
Lets's calculate LCM of 619,3449
Given numbers has no common factors except 1. So, there LCM is their product i.e 2134931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2134931
Therefore, the GCF of Fractions 7362/619,5901/3449 is 3/2134931
Least Common Multiple of 619,3449 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 619,3449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,3449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,3449) x common factors =1 x 1 = 1
LCM(619,3449) = ( 619 × 3449 ) / 1
LCM(619,3449) = 2134931 / 1
LCM(619,3449) = 2134931
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FAQs on GCF of Fractions of 7362/619, 5901/3449
1. What is the HCF of 7362,5901?
The HCF of 7362,5901 is 3
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 7362/619, 5901/3449?
Answer: GCF of Numerators as per given numbers 7362/619, 5901/3449 is
GCF of Numerators i.e. for 7362,5901 is 3
LCM of denominators i.e. for 619,3449 is 2134931.
Thus, GCF of Fractions is 3/2134931.Finally, GCF of Fractions for 7362/619, 5901/3449 is 3/2134931.