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GCF of 162/700, 2923/644

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 162/700, 2923/644 i.e 1/16100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 162/700, 2923/644.

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 162/700,2923/644?

Given fractions are 162/700,2923/644

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 162/700,2923/644, numerators are 162,2923

Denominators are 700,644

The GCF of 162,2923 is 1 .

LCM of 700,644 is 16100.

The greatest common factor of 162/700,2923/644 = [GCF of 162,2923]/[LCM of 700,644]= 1/16100

Therefore, the GCF of 162/700,2923/644 is 1/16100.

Greatest Common Factor of 162,2923

To find the highest common factor of 162,2923, we have to find the factors of both numbers and list the highest common factor.

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

The factors of 2923 are 1, 37, 79, 2923

The HCF of 162,2923 is 1.

Lets's calculate GCF of 162,2923

Greatest Common Factor (GCF) of 162,2923 By Common Division

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

Greatest Common Factor of 162,2923 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,2923 By Matching Biggest Common Factor Method

Now, list down the factors of 162

:

1,2,3,6,9,18,27,54,81,162

Now, list down the factors of 2923

:

1,37,79,2923

Greatest Common Factor

We found the factors 162,2923 . The biggest common factor number is the GCF number.
So the greatest common factor 162,2923 is 1.


Lets's calculate LCM of 700,644

Lowest Common Multiple of 700,644 using Common Division

2 700, 644
2 350, 322
7 175, 161
25, 23

∴ So the LCM of the given numbers is 2 x 2 x 7 x 25 x 23 = 16100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16100

Therefore, the GCF of Fractions 162/700,2923/644 is 1/16100

Least Common Multiple of 700,644 with GCF Formula

Least Common Multiple of 700,644 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 700,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,644) = 28

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

GCF(700,644) x common factors =28 x 1 = 28

LCM(700,644) = ( 700 × 644 ) / 28

LCM(700,644) = 450800 / 28

LCM(700,644) = 16100


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 162/700, 2923/644

1. What is the HCF of 162,2923?

The HCF of 162,2923 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 162/700, 2923/644?

Answer: GCF of Numerators as per given numbers 162/700, 2923/644 is

GCF of Numerators i.e. for 162,2923 is 1

LCM of denominators i.e. for 700,644 is 16100.

Thus, GCF of Fractions is 1/16100.Finally, GCF of Fractions for 162/700, 2923/644 is 1/16100.