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GCF of 6446/156, 2633/496

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 6446/156, 2633/496 i.e 1/19344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6446/156, 2633/496.

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 6446/156,2633/496?

Given fractions are 6446/156,2633/496

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 6446/156,2633/496, numerators are 6446,2633

Denominators are 156,496

The GCF of 6446,2633 is 1 .

LCM of 156,496 is 19344.

The greatest common factor of 6446/156,2633/496 = [GCF of 6446,2633]/[LCM of 156,496]= 1/19344

Therefore, the GCF of 6446/156,2633/496 is 1/19344.

Greatest Common Factor of 6446,2633

To find the highest common factor of 6446,2633, we have to find the factors of both numbers and list the highest common factor.

The factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446

The factors of 2633 are 1, 2633

The HCF of 6446,2633 is 1.

Lets's calculate GCF of 6446,2633

Greatest Common Factor (GCF) of 6446,2633 By Common Division

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

Greatest Common Factor of 6446,2633 By Matching Biggest Common Factor Method

Greatest Common Factor of 6446,2633 By Matching Biggest Common Factor Method

Now, list down the factors of 6446

:

1,2,11,22,293,586,3223,6446

Now, list down the factors of 2633

:

1,2633

Greatest Common Factor

We found the factors 6446,2633 . The biggest common factor number is the GCF number.
So the greatest common factor 6446,2633 is 1.

Lets's calculate LCM of 156,496

Lowest Common Multiple of 156,496 using Common Division

2 156, 496
2 78, 248
39, 124

∴ So the LCM of the given numbers is 2 x 2 x 39 x 124 = 19344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19344

Therefore, the GCF of Fractions 6446/156,2633/496 is 1/19344

Least Common Multiple of 156,496 with GCF Formula

Least Common Multiple of 156,496 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 156,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,496) = 4

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

GCF(156,496) x common factors =4 x 1 = 4

LCM(156,496) = ( 156 × 496 ) / 4

LCM(156,496) = 77376 / 4

LCM(156,496) = 19344


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FAQs on GCF of Fractions of 6446/156, 2633/496

1. What is the HCF of 6446,2633?

The HCF of 6446,2633 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 6446/156, 2633/496?

Answer: GCF of Numerators as per given numbers 6446/156, 2633/496 is

GCF of Numerators i.e. for 6446,2633 is 1

LCM of denominators i.e. for 156,496 is 19344.

Thus, GCF of Fractions is 1/19344.Finally, GCF of Fractions for 6446/156, 2633/496 is 1/19344.