How to Find GCF of 1952/469, 6229/8511?

GCF of 1952/469, 6229/8511

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 1952/469, 6229/8511 i.e 1/3991659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1952/469, 6229/8511.

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 1952/469,6229/8511?

Given fractions are 1952/469,6229/8511

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 1952/469,6229/8511, numerators are 1952,6229

Denominators are 469,8511

The GCF of 1952,6229 is 1 .

LCM of 469,8511 is 3991659.

The greatest common factor of 1952/469,6229/8511 = [GCF of 1952,6229]/[LCM of 469,8511]= 1/3991659

Therefore, the GCF of 1952/469,6229/8511 is 1/3991659.

Greatest Common Factor of 1952,6229

To find the highest common factor of 1952,6229, we have to find the factors of both numbers and list the highest common factor.

The factors of 1952 are 1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952

The factors of 6229 are 1, 6229

The HCF of 1952,6229 is 1.

Lets's calculate GCF of 1952,6229

Greatest Common Factor (GCF) of 1952,6229 By Common Division

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

Greatest Common Factor of 1952,6229 By Matching Biggest Common Factor Method

Now, list down the factors of 1952

1,2,4,8,16,32,61,122,244,488,976,1952

Now, list down the factors of 6229

1,6229

Greatest Common Factor

We found the factors 1952,6229 . The biggest common factor number is the GCF number.
So the greatest common factor 1952,6229 is 1.

Lets's calculate LCM of 469,8511

Lowest Common Multiple of 469,8511 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3991659

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3991659

Therefore, the GCF of Fractions 1952/469,6229/8511 is 1/3991659

Least Common Multiple of 469,8511 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 469,8511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,8511) = 1

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

GCF(469,8511) x common factors =1 x 1 = 1

LCM(469,8511) = ( 469 × 8511 ) / 1

LCM(469,8511) = 3991659 / 1

LCM(469,8511) = 3991659

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FAQs on GCF of Fractions of 1952/469, 6229/8511

1. What is the HCF of 1952,6229?

The HCF of 1952,6229 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 1952/469, 6229/8511?

Answer: GCF of Numerators as per given numbers 1952/469, 6229/8511 is

GCF of Numerators i.e. for 1952,6229 is 1

LCM of denominators i.e. for 469,8511 is 3991659.

Thus, GCF of Fractions is 1/3991659.Finally, GCF of Fractions for 1952/469, 6229/8511 is 1/3991659.