GCF of 2619/360, 9424/7255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2619/360, 9424/7255 i.e 1/522360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2619/360, 9424/7255.
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 2619/360,9424/7255?
Given fractions are 2619/360,9424/7255
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 2619/360,9424/7255, numerators are 2619,9424
Denominators are 360,7255
The GCF of 2619,9424 is 1 .
LCM of 360,7255 is 522360.
The greatest common factor of 2619/360,9424/7255 = [GCF of 2619,9424]/[LCM of 360,7255]= 1/522360
Therefore, the GCF of 2619/360,9424/7255 is 1/522360.
To find the highest common factor of 2619,9424, we have to find the factors of both numbers and list the highest common factor.
The factors of 2619 are 1, 3, 9, 27, 97, 291, 873, 2619
The factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424
The HCF of 2619,9424 is 1.
Lets's calculate GCF of 2619,9424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2619,9424 By Matching Biggest Common Factor Method
Now, list down the factors of 2619
:1,3,9,27,97,291,873,2619
Now, list down the factors of 9424
:1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424
Greatest Common Factor
We found the factors 2619,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 2619,9424 is 1.
Lets's calculate LCM of 360,7255
| 5 | 360, 7255 |
| 72, 1451 |
∴ So the LCM of the given numbers is 5 x 72 x 1451 = 522360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522360
Therefore, the GCF of Fractions 2619/360,9424/7255 is 1/522360
Least Common Multiple of 360,7255 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 360,7255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,7255) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(360,7255) x common factors =5 x 1 = 5
LCM(360,7255) = ( 360 × 7255 ) / 5
LCM(360,7255) = 2611800 / 5
LCM(360,7255) = 522360
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FAQs on GCF of Fractions of 2619/360, 9424/7255
1. What is the HCF of 2619,9424?
The HCF of 2619,9424 is 1
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 2619/360, 9424/7255?
Answer: GCF of Numerators as per given numbers 2619/360, 9424/7255 is
GCF of Numerators i.e. for 2619,9424 is 1
LCM of denominators i.e. for 360,7255 is 522360.
Thus, GCF of Fractions is 1/522360.Finally, GCF of Fractions for 2619/360, 9424/7255 is 1/522360.