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GCF of 9929/414, 7243/5949

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 9929/414, 7243/5949 i.e 1/273654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9929/414, 7243/5949.

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 9929/414,7243/5949?

Given fractions are 9929/414,7243/5949

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 9929/414,7243/5949, numerators are 9929,7243

Denominators are 414,5949

The GCF of 9929,7243 is 1 .

LCM of 414,5949 is 273654.

The greatest common factor of 9929/414,7243/5949 = [GCF of 9929,7243]/[LCM of 414,5949]= 1/273654

Therefore, the GCF of 9929/414,7243/5949 is 1/273654.

Greatest Common Factor of 9929,7243

To find the highest common factor of 9929,7243, we have to find the factors of both numbers and list the highest common factor.

The factors of 9929 are 1, 9929

The factors of 7243 are 1, 7243

The HCF of 9929,7243 is 1.

Lets's calculate GCF of 9929,7243

Greatest Common Factor (GCF) of 9929,7243 By Common Division

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

Greatest Common Factor of 9929,7243 By Matching Biggest Common Factor Method

Greatest Common Factor of 9929,7243 By Matching Biggest Common Factor Method

Now, list down the factors of 9929

:

1,9929

Now, list down the factors of 7243

:

1,7243

Greatest Common Factor

We found the factors 9929,7243 . The biggest common factor number is the GCF number.
So the greatest common factor 9929,7243 is 1.

Lets's calculate LCM of 414,5949

Lowest Common Multiple of 414,5949 using Common Division

3 414, 5949
3 138, 1983
46, 661

∴ So the LCM of the given numbers is 3 x 3 x 46 x 661 = 273654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273654

Therefore, the GCF of Fractions 9929/414,7243/5949 is 1/273654

Least Common Multiple of 414,5949 with GCF Formula

Least Common Multiple of 414,5949 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 414,5949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,5949) = 9

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

GCF(414,5949) x common factors =9 x 1 = 9

LCM(414,5949) = ( 414 × 5949 ) / 9

LCM(414,5949) = 2462886 / 9

LCM(414,5949) = 273654


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FAQs on GCF of Fractions of 9929/414, 7243/5949

1. What is the HCF of 9929,7243?

The HCF of 9929,7243 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 9929/414, 7243/5949?

Answer: GCF of Numerators as per given numbers 9929/414, 7243/5949 is

GCF of Numerators i.e. for 9929,7243 is 1

LCM of denominators i.e. for 414,5949 is 273654.

Thus, GCF of Fractions is 1/273654.Finally, GCF of Fractions for 9929/414, 7243/5949 is 1/273654.