How to Find GCF of 1622/520, 8469/464?

GCF of 1622/520, 8469/464

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 1622/520, 8469/464 i.e 1/30160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1622/520, 8469/464.

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 1622/520,8469/464?

Given fractions are 1622/520,8469/464

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 1622/520,8469/464, numerators are 1622,8469

Denominators are 520,464

The GCF of 1622,8469 is 1 .

LCM of 520,464 is 30160.

The greatest common factor of 1622/520,8469/464 = [GCF of 1622,8469]/[LCM of 520,464]= 1/30160

Therefore, the GCF of 1622/520,8469/464 is 1/30160.

Greatest Common Factor of 1622,8469

To find the highest common factor of 1622,8469, we have to find the factors of both numbers and list the highest common factor.

The factors of 1622 are 1, 2, 811, 1622

The factors of 8469 are 1, 3, 9, 941, 2823, 8469

The HCF of 1622,8469 is 1.

Lets's calculate GCF of 1622,8469

Greatest Common Factor (GCF) of 1622,8469 By Common Division

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

Greatest Common Factor of 1622,8469 By Matching Biggest Common Factor Method

Now, list down the factors of 1622

1,2,811,1622

Now, list down the factors of 8469

1,3,9,941,2823,8469

Greatest Common Factor

We found the factors 1622,8469 . The biggest common factor number is the GCF number.
So the greatest common factor 1622,8469 is 1.

Lets's calculate LCM of 520,464

Lowest Common Multiple of 520,464 using Common Division

2	520, 464
2	260, 232
2	130, 116
	65, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 58 = 30160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30160

Therefore, the GCF of Fractions 1622/520,8469/464 is 1/30160

Least Common Multiple of 520,464 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 520,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,464) = 8

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

GCF(520,464) x common factors =8 x 1 = 8

LCM(520,464) = ( 520 × 464 ) / 8

LCM(520,464) = 241280 / 8

LCM(520,464) = 30160

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FAQs on GCF of Fractions of 1622/520, 8469/464

1. What is the HCF of 1622,8469?

The HCF of 1622,8469 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 1622/520, 8469/464?

Answer: GCF of Numerators as per given numbers 1622/520, 8469/464 is

GCF of Numerators i.e. for 1622,8469 is 1

LCM of denominators i.e. for 520,464 is 30160.

Thus, GCF of Fractions is 1/30160.Finally, GCF of Fractions for 1622/520, 8469/464 is 1/30160.