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GCF of 844/438, 945/624

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 844/438, 945/624 i.e 1/45552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/438, 945/624.

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 844/438,945/624?

Given fractions are 844/438,945/624

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 844/438,945/624, numerators are 844,945

Denominators are 438,624

The GCF of 844,945 is 1 .

LCM of 438,624 is 45552.

The greatest common factor of 844/438,945/624 = [GCF of 844,945]/[LCM of 438,624]= 1/45552

Therefore, the GCF of 844/438,945/624 is 1/45552.

Greatest Common Factor of 844,945

To find the highest common factor of 844,945, we have to find the factors of both numbers and list the highest common factor.

The factors of 844 are 1, 2, 4, 211, 422, 844

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The HCF of 844,945 is 1.

Lets's calculate GCF of 844,945

Greatest Common Factor (GCF) of 844,945 By Common Division

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

Greatest Common Factor of 844,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,945 By Matching Biggest Common Factor Method

Now, list down the factors of 844

:

1,2,4,211,422,844

Now, list down the factors of 945

:

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 844,945 . The biggest common factor number is the GCF number.
So the greatest common factor 844,945 is 1.

Lets's calculate LCM of 438,624

Lowest Common Multiple of 438,624 using Common Division

2 438, 624
3 219, 312
73, 104

∴ So the LCM of the given numbers is 2 x 3 x 73 x 104 = 45552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45552

Therefore, the GCF of Fractions 844/438,945/624 is 1/45552

Least Common Multiple of 438,624 with GCF Formula

Least Common Multiple of 438,624 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 438,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,624) = 6

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

GCF(438,624) x common factors =6 x 1 = 6

LCM(438,624) = ( 438 × 624 ) / 6

LCM(438,624) = 273312 / 6

LCM(438,624) = 45552


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FAQs on GCF of Fractions of 844/438, 945/624

1. What is the HCF of 844,945?

The HCF of 844,945 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 844/438, 945/624?

Answer: GCF of Numerators as per given numbers 844/438, 945/624 is

GCF of Numerators i.e. for 844,945 is 1

LCM of denominators i.e. for 438,624 is 45552.

Thus, GCF of Fractions is 1/45552.Finally, GCF of Fractions for 844/438, 945/624 is 1/45552.