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GCF of 143/195, 713/935

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 143/195, 713/935 i.e 1/36465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/195, 713/935.

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 143/195,713/935?

Given fractions are 143/195,713/935

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 143/195,713/935, numerators are 143,713

Denominators are 195,935

The GCF of 143,713 is 1 .

LCM of 195,935 is 36465.

The greatest common factor of 143/195,713/935 = [GCF of 143,713]/[LCM of 195,935]= 1/36465

Therefore, the GCF of 143/195,713/935 is 1/36465.

Greatest Common Factor of 143,713

To find the highest common factor of 143,713, we have to find the factors of both numbers and list the highest common factor.

The factors of 143 are 1, 11, 13, 143

The factors of 713 are 1, 23, 31, 713

The HCF of 143,713 is 1.

Lets's calculate GCF of 143,713

Greatest Common Factor (GCF) of 143,713 By Common Division

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

Greatest Common Factor of 143,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,713 By Matching Biggest Common Factor Method

Now, list down the factors of 143

:

1,11,13,143

Now, list down the factors of 713

:

1,23,31,713

Greatest Common Factor

We found the factors 143,713 . The biggest common factor number is the GCF number.
So the greatest common factor 143,713 is 1.

Lets's calculate LCM of 195,935

Lowest Common Multiple of 195,935 using Common Division

5 195, 935
39, 187

∴ So the LCM of the given numbers is 5 x 39 x 187 = 36465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36465

Therefore, the GCF of Fractions 143/195,713/935 is 1/36465

Least Common Multiple of 195,935 with GCF Formula

Least Common Multiple of 195,935 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 195,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,935) = 5

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

GCF(195,935) x common factors =5 x 1 = 5

LCM(195,935) = ( 195 × 935 ) / 5

LCM(195,935) = 182325 / 5

LCM(195,935) = 36465


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FAQs on GCF of Fractions of 143/195, 713/935

1. What is the HCF of 143,713?

The HCF of 143,713 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 143/195, 713/935?

Answer: GCF of Numerators as per given numbers 143/195, 713/935 is

GCF of Numerators i.e. for 143,713 is 1

LCM of denominators i.e. for 195,935 is 36465.

Thus, GCF of Fractions is 1/36465.Finally, GCF of Fractions for 143/195, 713/935 is 1/36465.