How to Find GCF of 61/35, 701/33, 538/613?

GCF of 61/35, 701/33, 538/613

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 61/35, 701/33, 538/613 i.e 1/708015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/35, 701/33, 538/613.

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 61/35,701/33,538/613?

Given fractions are 61/35,701/33,538/613

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 61/35,701/33,538/613, numerators are 61,701,538

Denominators are 35,33,613

The GCF of 61,701,538 is 1 .

LCM of 35,33,613 is 708015.

The greatest common factor of 61/35,701/33,538/613 = [GCF of 61,701,538]/[LCM of 35,33,613]= 1/708015

Therefore, the GCF of 61/35,701/33,538/613 is 1/708015.

Greatest Common Factor of 61,701,538

To find the highest common factor of 61,701,538, 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 701 are 1, 701

The factors of 538 are 1, 2, 269, 538

The HCF of 61,701,538 is 1.

Lets's calculate GCF of 61,701,538

Greatest Common Factor (GCF) of 61,701,538 By Common Division

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

Greatest Common Factor of 61,701,538 By Matching Biggest Common Factor Method

Now, list down the factors of 61

1,61

Now, list down the factors of 701

1,701

Now, list down the factors of 538

1,2,269,538

Greatest Common Factor

We found the factors 61,701,538 . The biggest common factor number is the GCF number.
So the greatest common factor 61,701,538 is 1.

Lets's calculate LCM of 35,33,613

Lowest Common Multiple of 35,33,613 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 708015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/708015

Therefore, the GCF of Fractions 61/35,701/33,538/613 is 1/708015

Least Common Multiple of 35,33,613 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 35,33,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,33,613) = 1

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

GCF(35,33,613) x common factors =1 x 1 = 1

LCM(35,33,613) = ( 35 × 33 × 613 ) / 1

LCM(35,33,613) = 708015 / 1

LCM(35,33,613) = 708015

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FAQs on GCF of Fractions of 61/35, 701/33, 538/613

1. What is the HCF of 61,701,538?

The HCF of 61,701,538 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 61/35, 701/33, 538/613?

Answer: GCF of Numerators as per given numbers 61/35, 701/33, 538/613 is

GCF of Numerators i.e. for 61,701,538 is 1

LCM of denominators i.e. for 35,33,613 is 708015.

Thus, GCF of Fractions is 1/708015.Finally, GCF of Fractions for 61/35, 701/33, 538/613 is 1/708015.