How to Find GCF of 610/212, 518/700, 479/268?

GCF of 610/212, 518/700, 479/268

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 610/212, 518/700, 479/268 i.e 1/2485700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/212, 518/700, 479/268.

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 610/212,518/700,479/268?

Given fractions are 610/212,518/700,479/268

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 610/212,518/700,479/268, numerators are 610,518,479

Denominators are 212,700,268

The GCF of 610,518,479 is 1 .

LCM of 212,700,268 is 2485700.

The greatest common factor of 610/212,518/700,479/268 = [GCF of 610,518,479]/[LCM of 212,700,268]= 1/2485700

Therefore, the GCF of 610/212,518/700,479/268 is 1/2485700.

Greatest Common Factor of 610,518,479

To find the highest common factor of 610,518,479, we have to find the factors of both numbers and list the highest common factor.

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The factors of 479 are 1, 479

The HCF of 610,518,479 is 1.

Lets's calculate GCF of 610,518,479

Greatest Common Factor (GCF) of 610,518,479 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 610,518,479 By Matching Biggest Common Factor Method

Now, list down the factors of 610

1,2,5,10,61,122,305,610

Now, list down the factors of 518

1,2,7,14,37,74,259,518

Now, list down the factors of 479

1,479

Greatest Common Factor

We found the factors 610,518,479 . The biggest common factor number is the GCF number.
So the greatest common factor 610,518,479 is 1.

Lets's calculate LCM of 212,700,268

Lowest Common Multiple of 212,700,268 using Common Division

2	212, 700, 268
2	106, 350, 134
	53, 175, 67

∴ So the LCM of the given numbers is 2 x 2 x 53 x 175 x 67 = 2485700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2485700

Therefore, the GCF of Fractions 610/212,518/700,479/268 is 1/2485700

Least Common Multiple of 212,700,268 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 212,700,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,700,268) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(212,700,268) x common factors =4 x 4 = 16

LCM(212,700,268) = ( 212 × 700 × 268 ) / 16

LCM(212,700,268) = 39771200 / 16

LCM(212,700,268) = 2485700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 610/212, 518/700, 479/268

1. What is the HCF of 610,518,479?

The HCF of 610,518,479 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 610/212, 518/700, 479/268?

Answer: GCF of Numerators as per given numbers 610/212, 518/700, 479/268 is

GCF of Numerators i.e. for 610,518,479 is 1

LCM of denominators i.e. for 212,700,268 is 2485700.

Thus, GCF of Fractions is 1/2485700.Finally, GCF of Fractions for 610/212, 518/700, 479/268 is 1/2485700.