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GCF of 7142/200, 3269/4845

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 7142/200, 3269/4845 i.e 1/193800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7142/200, 3269/4845.

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 7142/200,3269/4845?

Given fractions are 7142/200,3269/4845

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 7142/200,3269/4845, numerators are 7142,3269

Denominators are 200,4845

The GCF of 7142,3269 is 1 .

LCM of 200,4845 is 193800.

The greatest common factor of 7142/200,3269/4845 = [GCF of 7142,3269]/[LCM of 200,4845]= 1/193800

Therefore, the GCF of 7142/200,3269/4845 is 1/193800.

Greatest Common Factor of 7142,3269

To find the highest common factor of 7142,3269, we have to find the factors of both numbers and list the highest common factor.

The factors of 7142 are 1, 2, 3571, 7142

The factors of 3269 are 1, 7, 467, 3269

The HCF of 7142,3269 is 1.

Lets's calculate GCF of 7142,3269

Greatest Common Factor (GCF) of 7142,3269 By Common Division

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

Greatest Common Factor of 7142,3269 By Matching Biggest Common Factor Method

Greatest Common Factor of 7142,3269 By Matching Biggest Common Factor Method

Now, list down the factors of 7142

:

1,2,3571,7142

Now, list down the factors of 3269

:

1,7,467,3269

Greatest Common Factor

We found the factors 7142,3269 . The biggest common factor number is the GCF number.
So the greatest common factor 7142,3269 is 1.

Lets's calculate LCM of 200,4845

Lowest Common Multiple of 200,4845 using Common Division

5 200, 4845
40, 969

∴ So the LCM of the given numbers is 5 x 40 x 969 = 193800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193800

Therefore, the GCF of Fractions 7142/200,3269/4845 is 1/193800

Least Common Multiple of 200,4845 with GCF Formula

Least Common Multiple of 200,4845 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 200,4845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,4845) = 5

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

GCF(200,4845) x common factors =5 x 1 = 5

LCM(200,4845) = ( 200 × 4845 ) / 5

LCM(200,4845) = 969000 / 5

LCM(200,4845) = 193800


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FAQs on GCF of Fractions of 7142/200, 3269/4845

1. What is the HCF of 7142,3269?

The HCF of 7142,3269 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 7142/200, 3269/4845?

Answer: GCF of Numerators as per given numbers 7142/200, 3269/4845 is

GCF of Numerators i.e. for 7142,3269 is 1

LCM of denominators i.e. for 200,4845 is 193800.

Thus, GCF of Fractions is 1/193800.Finally, GCF of Fractions for 7142/200, 3269/4845 is 1/193800.