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GCF of 496/128, 999/700

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 496/128, 999/700 i.e 1/22400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 496/128, 999/700.

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 496/128,999/700?

Given fractions are 496/128,999/700

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 496/128,999/700, numerators are 496,999

Denominators are 128,700

The GCF of 496,999 is 1 .

LCM of 128,700 is 22400.

The greatest common factor of 496/128,999/700 = [GCF of 496,999]/[LCM of 128,700]= 1/22400

Therefore, the GCF of 496/128,999/700 is 1/22400.

Greatest Common Factor of 496,999

To find the highest common factor of 496,999, we have to find the factors of both numbers and list the highest common factor.

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999

The HCF of 496,999 is 1.

Lets's calculate GCF of 496,999

Greatest Common Factor (GCF) of 496,999 By Common Division

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

Greatest Common Factor of 496,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,999 By Matching Biggest Common Factor Method

Now, list down the factors of 496

:

1,2,4,8,16,31,62,124,248,496

Now, list down the factors of 999

:

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 496,999 . The biggest common factor number is the GCF number.
So the greatest common factor 496,999 is 1.

Lets's calculate LCM of 128,700

Lowest Common Multiple of 128,700 using Common Division

2 128, 700
2 64, 350
32, 175

∴ So the LCM of the given numbers is 2 x 2 x 32 x 175 = 22400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22400

Therefore, the GCF of Fractions 496/128,999/700 is 1/22400

Least Common Multiple of 128,700 with GCF Formula

Least Common Multiple of 128,700 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 128,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,700) = 4

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

GCF(128,700) x common factors =4 x 1 = 4

LCM(128,700) = ( 128 × 700 ) / 4

LCM(128,700) = 89600 / 4

LCM(128,700) = 22400


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FAQs on GCF of Fractions of 496/128, 999/700

1. What is the HCF of 496,999?

The HCF of 496,999 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 496/128, 999/700?

Answer: GCF of Numerators as per given numbers 496/128, 999/700 is

GCF of Numerators i.e. for 496,999 is 1

LCM of denominators i.e. for 128,700 is 22400.

Thus, GCF of Fractions is 1/22400.Finally, GCF of Fractions for 496/128, 999/700 is 1/22400.