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GCF of 446/934, 9097/7026

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 446/934, 9097/7026 i.e 1/3281142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/934, 9097/7026.

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 446/934,9097/7026?

Given fractions are 446/934,9097/7026

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 446/934,9097/7026, numerators are 446,9097

Denominators are 934,7026

The GCF of 446,9097 is 1 .

LCM of 934,7026 is 3281142.

The greatest common factor of 446/934,9097/7026 = [GCF of 446,9097]/[LCM of 934,7026]= 1/3281142

Therefore, the GCF of 446/934,9097/7026 is 1/3281142.

Greatest Common Factor of 446,9097

To find the highest common factor of 446,9097, we have to find the factors of both numbers and list the highest common factor.

The factors of 446 are 1, 2, 223, 446

The factors of 9097 are 1, 11, 827, 9097

The HCF of 446,9097 is 1.

Lets's calculate GCF of 446,9097

Greatest Common Factor (GCF) of 446,9097 By Common Division

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

Greatest Common Factor of 446,9097 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,9097 By Matching Biggest Common Factor Method

Now, list down the factors of 446

:

1,2,223,446

Now, list down the factors of 9097

:

1,11,827,9097

Greatest Common Factor

We found the factors 446,9097 . The biggest common factor number is the GCF number.
So the greatest common factor 446,9097 is 1.

Lets's calculate LCM of 934,7026

Lowest Common Multiple of 934,7026 using Common Division

2 934, 7026
467, 3513

∴ So the LCM of the given numbers is 2 x 467 x 3513 = 3281142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3281142

Therefore, the GCF of Fractions 446/934,9097/7026 is 1/3281142

Least Common Multiple of 934,7026 with GCF Formula

Least Common Multiple of 934,7026 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 934,7026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,7026) = 2

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

GCF(934,7026) x common factors =2 x 1 = 2

LCM(934,7026) = ( 934 × 7026 ) / 2

LCM(934,7026) = 6562284 / 2

LCM(934,7026) = 3281142


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 446/934, 9097/7026

1. What is the HCF of 446,9097?

The HCF of 446,9097 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 446/934, 9097/7026?

Answer: GCF of Numerators as per given numbers 446/934, 9097/7026 is

GCF of Numerators i.e. for 446,9097 is 1

LCM of denominators i.e. for 934,7026 is 3281142.

Thus, GCF of Fractions is 1/3281142.Finally, GCF of Fractions for 446/934, 9097/7026 is 1/3281142.