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GCF of 853/64, 669/144

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 853/64, 669/144 i.e 1/576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/64, 669/144.

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 853/64,669/144?

Given fractions are 853/64,669/144

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 853/64,669/144, numerators are 853,669

Denominators are 64,144

The GCF of 853,669 is 1 .

LCM of 64,144 is 576.

The greatest common factor of 853/64,669/144 = [GCF of 853,669]/[LCM of 64,144]= 1/576

Therefore, the GCF of 853/64,669/144 is 1/576.

Greatest Common Factor of 853,669

To find the highest common factor of 853,669, we have to find the factors of both numbers and list the highest common factor.

The factors of 853 are 1, 853

The factors of 669 are 1, 3, 223, 669

The HCF of 853,669 is 1.

Lets's calculate GCF of 853,669

Greatest Common Factor (GCF) of 853,669 By Common Division

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

Greatest Common Factor of 853,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,669 By Matching Biggest Common Factor Method

Now, list down the factors of 853

:

1,853

Now, list down the factors of 669

:

1,3,223,669

Greatest Common Factor

We found the factors 853,669 . The biggest common factor number is the GCF number.
So the greatest common factor 853,669 is 1.

Lets's calculate LCM of 64,144

Lowest Common Multiple of 64,144 using Common Division

2 64, 144
2 32, 72
2 16, 36
2 8, 18
4, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 9 = 576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576

Therefore, the GCF of Fractions 853/64,669/144 is 1/576

Least Common Multiple of 64,144 with GCF Formula

Least Common Multiple of 64,144 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 64,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,144) = 16

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

GCF(64,144) x common factors =16 x 1 = 16

LCM(64,144) = ( 64 × 144 ) / 16

LCM(64,144) = 9216 / 16

LCM(64,144) = 576


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FAQs on GCF of Fractions of 853/64, 669/144

1. What is the HCF of 853,669?

The HCF of 853,669 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 853/64, 669/144?

Answer: GCF of Numerators as per given numbers 853/64, 669/144 is

GCF of Numerators i.e. for 853,669 is 1

LCM of denominators i.e. for 64,144 is 576.

Thus, GCF of Fractions is 1/576.Finally, GCF of Fractions for 853/64, 669/144 is 1/576.