GCF of 2473/597, 7680/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2473/597, 7680/900 i.e 1/179100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2473/597, 7680/900.
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 2473/597,7680/900?
Given fractions are 2473/597,7680/900
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 2473/597,7680/900, numerators are 2473,7680
Denominators are 597,900
The GCF of 2473,7680 is 1 .
LCM of 597,900 is 179100.
The greatest common factor of 2473/597,7680/900 = [GCF of 2473,7680]/[LCM of 597,900]= 1/179100
Therefore, the GCF of 2473/597,7680/900 is 1/179100.
To find the highest common factor of 2473,7680, we have to find the factors of both numbers and list the highest common factor.
The factors of 2473 are 1, 2473
The factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680
The HCF of 2473,7680 is 1.
Lets's calculate GCF of 2473,7680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2473,7680 By Matching Biggest Common Factor Method
Now, list down the factors of 2473
:1,2473
Now, list down the factors of 7680
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680
Greatest Common Factor
We found the factors 2473,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 2473,7680 is 1.
Lets's calculate LCM of 597,900
| 3 | 597, 900 |
| 199, 300 |
∴ So the LCM of the given numbers is 3 x 199 x 300 = 179100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179100
Therefore, the GCF of Fractions 2473/597,7680/900 is 1/179100
Least Common Multiple of 597,900 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 597,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,900) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(597,900) x common factors =3 x 1 = 3
LCM(597,900) = ( 597 × 900 ) / 3
LCM(597,900) = 537300 / 3
LCM(597,900) = 179100
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FAQs on GCF of Fractions of 2473/597, 7680/900
1. What is the HCF of 2473,7680?
The HCF of 2473,7680 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 2473/597, 7680/900?
Answer: GCF of Numerators as per given numbers 2473/597, 7680/900 is
GCF of Numerators i.e. for 2473,7680 is 1
LCM of denominators i.e. for 597,900 is 179100.
Thus, GCF of Fractions is 1/179100.Finally, GCF of Fractions for 2473/597, 7680/900 is 1/179100.