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GCF of 4229/954, 8047/432

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 4229/954, 8047/432 i.e 1/22896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4229/954, 8047/432.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4229/954,8047/432?

Given fractions are 4229/954,8047/432

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 4229/954,8047/432, numerators are 4229,8047

Denominators are 954,432

The GCF of 4229,8047 is 1 .

LCM of 954,432 is 22896.

The greatest common factor of 4229/954,8047/432 = [GCF of 4229,8047]/[LCM of 954,432]= 1/22896

Therefore, the GCF of 4229/954,8047/432 is 1/22896.

Greatest Common Factor of 4229,8047

To find the highest common factor of 4229,8047, we have to find the factors of both numbers and list the highest common factor.

The factors of 4229 are 1, 4229

The factors of 8047 are 1, 13, 619, 8047

The HCF of 4229,8047 is 1.

Lets's calculate GCF of 4229,8047

Greatest Common Factor (GCF) of 4229,8047 By Common Division

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

Greatest Common Factor of 4229,8047 By Matching Biggest Common Factor Method

Greatest Common Factor of 4229,8047 By Matching Biggest Common Factor Method

Now, list down the factors of 4229

:

1,4229

Now, list down the factors of 8047

:

1,13,619,8047

Greatest Common Factor

We found the factors 4229,8047 . The biggest common factor number is the GCF number.
So the greatest common factor 4229,8047 is 1.

Lets's calculate LCM of 954,432

Lowest Common Multiple of 954,432 using Common Division

2 954, 432
3 477, 216
3 159, 72
53, 24

∴ So the LCM of the given numbers is 2 x 3 x 3 x 53 x 24 = 22896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22896

Therefore, the GCF of Fractions 4229/954,8047/432 is 1/22896

Least Common Multiple of 954,432 with GCF Formula

Least Common Multiple of 954,432 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 954,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,432) = 18

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

GCF(954,432) x common factors =18 x 1 = 18

LCM(954,432) = ( 954 × 432 ) / 18

LCM(954,432) = 412128 / 18

LCM(954,432) = 22896


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FAQs on GCF of Fractions of 4229/954, 8047/432

1. What is the HCF of 4229,8047?

The HCF of 4229,8047 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 4229/954, 8047/432?

Answer: GCF of Numerators as per given numbers 4229/954, 8047/432 is

GCF of Numerators i.e. for 4229,8047 is 1

LCM of denominators i.e. for 954,432 is 22896.

Thus, GCF of Fractions is 1/22896.Finally, GCF of Fractions for 4229/954, 8047/432 is 1/22896.