GCF of 1480/489, 1280/946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1480/489, 1280/946 i.e 40/462594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1480/489, 1280/946.
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 1480/489,1280/946?
Given fractions are 1480/489,1280/946
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 1480/489,1280/946, numerators are 1480,1280
Denominators are 489,946
The GCF of 1480,1280 is 40 .
LCM of 489,946 is 462594.
The greatest common factor of 1480/489,1280/946 = [GCF of 1480,1280]/[LCM of 489,946]= 40/462594
Therefore, the GCF of 1480/489,1280/946 is 40/462594.
To find the highest common factor of 1480,1280, we have to find the factors of both numbers and list the highest common factor.
The factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
The factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280
The HCF of 1480,1280 is 40.
Lets's calculate GCF of 1480,1280
| 2 | 1480, 1280 |
| 2 | 740, 640 |
| 2 | 370, 320 |
| 5 | 185, 160 |
| 37, 32 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 1480,1280 By Matching Biggest Common Factor Method
Now, list down the factors of 1480
:1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480
Now, list down the factors of 1280
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280
Greatest Common Factor
We found the factors 1480,1280 . The biggest common factor number is the GCF number.
So the greatest common factor 1480,1280 is 40.
Lets's calculate LCM of 489,946
Given numbers has no common factors except 1. So, there LCM is their product i.e 462594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/462594
Therefore, the GCF of Fractions 1480/489,1280/946 is 40/462594
Least Common Multiple of 489,946 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 489,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,946) x common factors =1 x 1 = 1
LCM(489,946) = ( 489 × 946 ) / 1
LCM(489,946) = 462594 / 1
LCM(489,946) = 462594
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FAQs on GCF of Fractions of 1480/489, 1280/946
1. What is the HCF of 1480,1280?
The HCF of 1480,1280 is 40
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 1480/489, 1280/946?
Answer: GCF of Numerators as per given numbers 1480/489, 1280/946 is
GCF of Numerators i.e. for 1480,1280 is 40
LCM of denominators i.e. for 489,946 is 462594.
Thus, GCF of Fractions is 40/462594.Finally, GCF of Fractions for 1480/489, 1280/946 is 40/462594.