How to Find GCF of 61/265, 47/965, 518/347?

GCF of 61/265, 47/965, 518/347

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 61/265, 47/965, 518/347 i.e 1/17747315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/265, 47/965, 518/347.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 61/265,47/965,518/347?

Given fractions are 61/265,47/965,518/347

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 61/265,47/965,518/347, numerators are 61,47,518

Denominators are 265,965,347

The GCF of 61,47,518 is 1 .

LCM of 265,965,347 is 17747315.

The greatest common factor of 61/265,47/965,518/347 = [GCF of 61,47,518]/[LCM of 265,965,347]= 1/17747315

Therefore, the GCF of 61/265,47/965,518/347 is 1/17747315.

Greatest Common Factor of 61,47,518

To find the highest common factor of 61,47,518, we have to find the factors of both numbers and list the highest common factor.

The factors of 61 are 1, 61

The factors of 47 are 1, 47

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The HCF of 61,47,518 is 1.

Lets's calculate GCF of 61,47,518

Greatest Common Factor (GCF) of 61,47,518 By Common Division

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

Greatest Common Factor of 61,47,518 By Matching Biggest Common Factor Method

Now, list down the factors of 61

1,61

Now, list down the factors of 47

1,47

Now, list down the factors of 518

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 61,47,518 . The biggest common factor number is the GCF number.
So the greatest common factor 61,47,518 is 1.

Lets's calculate LCM of 265,965,347

Lowest Common Multiple of 265,965,347 using Common Division

5	265, 965, 347
	53, 193, 347

∴ So the LCM of the given numbers is 5 x 53 x 193 x 347 = 17747315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17747315

Therefore, the GCF of Fractions 61/265,47/965,518/347 is 1/17747315

Least Common Multiple of 265,965,347 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 265,965,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,965,347) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(265,965,347) x common factors =1 x 5 = 5

LCM(265,965,347) = ( 265 × 965 × 347 ) / 5

LCM(265,965,347) = 88736575 / 5

LCM(265,965,347) = 17747315

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FAQs on GCF of Fractions of 61/265, 47/965, 518/347

1. What is the HCF of 61,47,518?

The HCF of 61,47,518 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 61/265, 47/965, 518/347?

Answer: GCF of Numerators as per given numbers 61/265, 47/965, 518/347 is

GCF of Numerators i.e. for 61,47,518 is 1

LCM of denominators i.e. for 265,965,347 is 17747315.

Thus, GCF of Fractions is 1/17747315.Finally, GCF of Fractions for 61/265, 47/965, 518/347 is 1/17747315.