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GCF of 643/65, 144/694

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 643/65, 144/694 i.e 1/45110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 643/65, 144/694.

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 643/65,144/694?

Given fractions are 643/65,144/694

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 643/65,144/694, numerators are 643,144

Denominators are 65,694

The GCF of 643,144 is 1 .

LCM of 65,694 is 45110.

The greatest common factor of 643/65,144/694 = [GCF of 643,144]/[LCM of 65,694]= 1/45110

Therefore, the GCF of 643/65,144/694 is 1/45110.

Greatest Common Factor of 643,144

To find the highest common factor of 643,144, we have to find the factors of both numbers and list the highest common factor.

The factors of 643 are 1, 643

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The HCF of 643,144 is 1.

Lets's calculate GCF of 643,144

Greatest Common Factor (GCF) of 643,144 By Common Division

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

Greatest Common Factor of 643,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,144 By Matching Biggest Common Factor Method

Now, list down the factors of 643

:

1,643

Now, list down the factors of 144

:

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 643,144 . The biggest common factor number is the GCF number.
So the greatest common factor 643,144 is 1.

Lets's calculate LCM of 65,694

Lowest Common Multiple of 65,694 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 45110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45110

Therefore, the GCF of Fractions 643/65,144/694 is 1/45110

Least Common Multiple of 65,694 with GCF Formula

Least Common Multiple of 65,694 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 65,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,694) = 1

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

GCF(65,694) x common factors =1 x 1 = 1

LCM(65,694) = ( 65 × 694 ) / 1

LCM(65,694) = 45110 / 1

LCM(65,694) = 45110


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FAQs on GCF of Fractions of 643/65, 144/694

1. What is the HCF of 643,144?

The HCF of 643,144 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 643/65, 144/694?

Answer: GCF of Numerators as per given numbers 643/65, 144/694 is

GCF of Numerators i.e. for 643,144 is 1

LCM of denominators i.e. for 65,694 is 45110.

Thus, GCF of Fractions is 1/45110.Finally, GCF of Fractions for 643/65, 144/694 is 1/45110.