GCF of 7280/256, 9363/7130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7280/256, 9363/7130 i.e 1/912640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7280/256, 9363/7130.
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 7280/256,9363/7130?
Given fractions are 7280/256,9363/7130
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 7280/256,9363/7130, numerators are 7280,9363
Denominators are 256,7130
The GCF of 7280,9363 is 1 .
LCM of 256,7130 is 912640.
The greatest common factor of 7280/256,9363/7130 = [GCF of 7280,9363]/[LCM of 256,7130]= 1/912640
Therefore, the GCF of 7280/256,9363/7130 is 1/912640.
To find the highest common factor of 7280,9363, we have to find the factors of both numbers and list the highest common factor.
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The factors of 9363 are 1, 3, 3121, 9363
The HCF of 7280,9363 is 1.
Lets's calculate GCF of 7280,9363
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7280,9363 By Matching Biggest Common Factor Method
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Now, list down the factors of 9363
:1,3,3121,9363
Greatest Common Factor
We found the factors 7280,9363 . The biggest common factor number is the GCF number.
So the greatest common factor 7280,9363 is 1.
Lets's calculate LCM of 256,7130
| 2 | 256, 7130 |
| 128, 3565 |
∴ So the LCM of the given numbers is 2 x 128 x 3565 = 912640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/912640
Therefore, the GCF of Fractions 7280/256,9363/7130 is 1/912640
Least Common Multiple of 256,7130 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 256,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,7130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,7130) x common factors =2 x 1 = 2
LCM(256,7130) = ( 256 × 7130 ) / 2
LCM(256,7130) = 1825280 / 2
LCM(256,7130) = 912640
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FAQs on GCF of Fractions of 7280/256, 9363/7130
1. What is the HCF of 7280,9363?
The HCF of 7280,9363 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 7280/256, 9363/7130?
Answer: GCF of Numerators as per given numbers 7280/256, 9363/7130 is
GCF of Numerators i.e. for 7280,9363 is 1
LCM of denominators i.e. for 256,7130 is 912640.
Thus, GCF of Fractions is 1/912640.Finally, GCF of Fractions for 7280/256, 9363/7130 is 1/912640.