How to Find GCF of 516/41, 770/2835?

GCF of 516/41, 770/2835

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 516/41, 770/2835 i.e 2/116235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/41, 770/2835.

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 516/41,770/2835?

Given fractions are 516/41,770/2835

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 516/41,770/2835, numerators are 516,770

Denominators are 41,2835

The GCF of 516,770 is 2 .

LCM of 41,2835 is 116235.

The greatest common factor of 516/41,770/2835 = [GCF of 516,770]/[LCM of 41,2835]= 2/116235

Therefore, the GCF of 516/41,770/2835 is 2/116235.

Greatest Common Factor of 516,770

To find the highest common factor of 516,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The HCF of 516,770 is 2.

Lets's calculate GCF of 516,770

Greatest Common Factor (GCF) of 516,770 By Common Division

2	516, 770
	258, 385

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 516,770 By Matching Biggest Common Factor Method

Now, list down the factors of 516

1,2,3,4,6,12,43,86,129,172,258,516

Now, list down the factors of 770

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 516,770 . The biggest common factor number is the GCF number.
So the greatest common factor 516,770 is 2.

Lets's calculate LCM of 41,2835

Lowest Common Multiple of 41,2835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 116235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116235

Therefore, the GCF of Fractions 516/41,770/2835 is 2/116235

Least Common Multiple of 41,2835 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 41,2835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,2835) = 1

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

GCF(41,2835) x common factors =1 x 1 = 1

LCM(41,2835) = ( 41 × 2835 ) / 1

LCM(41,2835) = 116235 / 1

LCM(41,2835) = 116235

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FAQs on GCF of Fractions of 516/41, 770/2835

1. What is the HCF of 516,770?

The HCF of 516,770 is 2

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 516/41, 770/2835?

Answer: GCF of Numerators as per given numbers 516/41, 770/2835 is

GCF of Numerators i.e. for 516,770 is 2

LCM of denominators i.e. for 41,2835 is 116235.

Thus, GCF of Fractions is 2/116235.Finally, GCF of Fractions for 516/41, 770/2835 is 2/116235.