How to Find GCF of 4670/586, 2550/5455?

GCF of 4670/586, 2550/5455

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4670/586, 2550/5455 i.e 10/3196630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4670/586, 2550/5455.

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 4670/586,2550/5455?

Given fractions are 4670/586,2550/5455

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 4670/586,2550/5455, numerators are 4670,2550

Denominators are 586,5455

The GCF of 4670,2550 is 10 .

LCM of 586,5455 is 3196630.

The greatest common factor of 4670/586,2550/5455 = [GCF of 4670,2550]/[LCM of 586,5455]= 10/3196630

Therefore, the GCF of 4670/586,2550/5455 is 10/3196630.

Greatest Common Factor of 4670,2550

To find the highest common factor of 4670,2550, we have to find the factors of both numbers and list the highest common factor.

The factors of 4670 are 1, 2, 5, 10, 467, 934, 2335, 4670

The factors of 2550 are 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275, 2550

The HCF of 4670,2550 is 10.

Lets's calculate GCF of 4670,2550

Greatest Common Factor (GCF) of 4670,2550 By Common Division

2	4670, 2550
5	2335, 1275
	467, 255

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4670,2550 By Matching Biggest Common Factor Method

Now, list down the factors of 4670

1,2,5,10,467,934,2335,4670

Now, list down the factors of 2550

1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550

Greatest Common Factor

We found the factors 4670,2550 . The biggest common factor number is the GCF number.
So the greatest common factor 4670,2550 is 10.

Lets's calculate LCM of 586,5455

Lowest Common Multiple of 586,5455 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3196630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3196630

Therefore, the GCF of Fractions 4670/586,2550/5455 is 10/3196630

Least Common Multiple of 586,5455 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 586,5455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,5455) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(586,5455) x common factors =1 x 1 = 1

LCM(586,5455) = ( 586 × 5455 ) / 1

LCM(586,5455) = 3196630 / 1

LCM(586,5455) = 3196630

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4670/586, 2550/5455

1. What is the HCF of 4670,2550?

The HCF of 4670,2550 is 10

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 4670/586, 2550/5455?

Answer: GCF of Numerators as per given numbers 4670/586, 2550/5455 is

GCF of Numerators i.e. for 4670,2550 is 10

LCM of denominators i.e. for 586,5455 is 3196630.

Thus, GCF of Fractions is 10/3196630.Finally, GCF of Fractions for 4670/586, 2550/5455 is 10/3196630.