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GCF of 109/992, 447/622

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 109/992, 447/622 i.e 1/308512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 109/992, 447/622.

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 109/992,447/622?

Given fractions are 109/992,447/622

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 109/992,447/622, numerators are 109,447

Denominators are 992,622

The GCF of 109,447 is 1 .

LCM of 992,622 is 308512.

The greatest common factor of 109/992,447/622 = [GCF of 109,447]/[LCM of 992,622]= 1/308512

Therefore, the GCF of 109/992,447/622 is 1/308512.

Greatest Common Factor of 109,447

To find the highest common factor of 109,447, we have to find the factors of both numbers and list the highest common factor.

The factors of 109 are 1, 109

The factors of 447 are 1, 3, 149, 447

The HCF of 109,447 is 1.

Lets's calculate GCF of 109,447

Greatest Common Factor (GCF) of 109,447 By Common Division

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

Greatest Common Factor of 109,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,447 By Matching Biggest Common Factor Method

Now, list down the factors of 109

:

1,109

Now, list down the factors of 447

:

1,3,149,447

Greatest Common Factor

We found the factors 109,447 . The biggest common factor number is the GCF number.
So the greatest common factor 109,447 is 1.

Lets's calculate LCM of 992,622

Lowest Common Multiple of 992,622 using Common Division

2 992, 622
496, 311

∴ So the LCM of the given numbers is 2 x 496 x 311 = 308512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308512

Therefore, the GCF of Fractions 109/992,447/622 is 1/308512

Least Common Multiple of 992,622 with GCF Formula

Least Common Multiple of 992,622 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 992,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,622) = 2

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

GCF(992,622) x common factors =2 x 1 = 2

LCM(992,622) = ( 992 × 622 ) / 2

LCM(992,622) = 617024 / 2

LCM(992,622) = 308512


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FAQs on GCF of Fractions of 109/992, 447/622

1. What is the HCF of 109,447?

The HCF of 109,447 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 109/992, 447/622?

Answer: GCF of Numerators as per given numbers 109/992, 447/622 is

GCF of Numerators i.e. for 109,447 is 1

LCM of denominators i.e. for 992,622 is 308512.

Thus, GCF of Fractions is 1/308512.Finally, GCF of Fractions for 109/992, 447/622 is 1/308512.