How to Find GCF of 9422/233, 7129/3484?

GCF of 9422/233, 7129/3484

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 9422/233, 7129/3484 i.e 1/811772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9422/233, 7129/3484.

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 9422/233,7129/3484?

Given fractions are 9422/233,7129/3484

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 9422/233,7129/3484, numerators are 9422,7129

Denominators are 233,3484

The GCF of 9422,7129 is 1 .

LCM of 233,3484 is 811772.

The greatest common factor of 9422/233,7129/3484 = [GCF of 9422,7129]/[LCM of 233,3484]= 1/811772

Therefore, the GCF of 9422/233,7129/3484 is 1/811772.

Greatest Common Factor of 9422,7129

To find the highest common factor of 9422,7129, we have to find the factors of both numbers and list the highest common factor.

The factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422

The factors of 7129 are 1, 7129

The HCF of 9422,7129 is 1.

Lets's calculate GCF of 9422,7129

Greatest Common Factor (GCF) of 9422,7129 By Common Division

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

Greatest Common Factor of 9422,7129 By Matching Biggest Common Factor Method

Now, list down the factors of 9422

1,2,7,14,673,1346,4711,9422

Now, list down the factors of 7129

1,7129

Greatest Common Factor

We found the factors 9422,7129 . The biggest common factor number is the GCF number.
So the greatest common factor 9422,7129 is 1.

Lets's calculate LCM of 233,3484

Lowest Common Multiple of 233,3484 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 811772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/811772

Therefore, the GCF of Fractions 9422/233,7129/3484 is 1/811772

Least Common Multiple of 233,3484 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 233,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,3484) = 1

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

GCF(233,3484) x common factors =1 x 1 = 1

LCM(233,3484) = ( 233 × 3484 ) / 1

LCM(233,3484) = 811772 / 1

LCM(233,3484) = 811772

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FAQs on GCF of Fractions of 9422/233, 7129/3484

1. What is the HCF of 9422,7129?

The HCF of 9422,7129 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 9422/233, 7129/3484?

Answer: GCF of Numerators as per given numbers 9422/233, 7129/3484 is

GCF of Numerators i.e. for 9422,7129 is 1

LCM of denominators i.e. for 233,3484 is 811772.

Thus, GCF of Fractions is 1/811772.Finally, GCF of Fractions for 9422/233, 7129/3484 is 1/811772.