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GCF of 853/60, 283/5718

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 853/60, 283/5718 i.e 1/57180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/60, 283/5718.

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 853/60,283/5718?

Given fractions are 853/60,283/5718

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 853/60,283/5718, numerators are 853,283

Denominators are 60,5718

The GCF of 853,283 is 1 .

LCM of 60,5718 is 57180.

The greatest common factor of 853/60,283/5718 = [GCF of 853,283]/[LCM of 60,5718]= 1/57180

Therefore, the GCF of 853/60,283/5718 is 1/57180.

Greatest Common Factor of 853,283

To find the highest common factor of 853,283, 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 283 are 1, 283

The HCF of 853,283 is 1.

Lets's calculate GCF of 853,283

Greatest Common Factor (GCF) of 853,283 By Common Division

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

Greatest Common Factor of 853,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,283 By Matching Biggest Common Factor Method

Now, list down the factors of 853

:

1,853

Now, list down the factors of 283

:

1,283

Greatest Common Factor

We found the factors 853,283 . The biggest common factor number is the GCF number.
So the greatest common factor 853,283 is 1.

Lets's calculate LCM of 60,5718

Lowest Common Multiple of 60,5718 using Common Division

2 60, 5718
3 30, 2859
10, 953

∴ So the LCM of the given numbers is 2 x 3 x 10 x 953 = 57180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57180

Therefore, the GCF of Fractions 853/60,283/5718 is 1/57180

Least Common Multiple of 60,5718 with GCF Formula

Least Common Multiple of 60,5718 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 60,5718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,5718) = 6

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

GCF(60,5718) x common factors =6 x 1 = 6

LCM(60,5718) = ( 60 × 5718 ) / 6

LCM(60,5718) = 343080 / 6

LCM(60,5718) = 57180


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FAQs on GCF of Fractions of 853/60, 283/5718

1. What is the HCF of 853,283?

The HCF of 853,283 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 853/60, 283/5718?

Answer: GCF of Numerators as per given numbers 853/60, 283/5718 is

GCF of Numerators i.e. for 853,283 is 1

LCM of denominators i.e. for 60,5718 is 57180.

Thus, GCF of Fractions is 1/57180.Finally, GCF of Fractions for 853/60, 283/5718 is 1/57180.