How to Find GCF of 511/616, 782/484?

GCF of 511/616, 782/484

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 511/616, 782/484 i.e 1/6776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/616, 782/484.

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 511/616,782/484?

Given fractions are 511/616,782/484

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 511/616,782/484, numerators are 511,782

Denominators are 616,484

The GCF of 511,782 is 1 .

LCM of 616,484 is 6776.

The greatest common factor of 511/616,782/484 = [GCF of 511,782]/[LCM of 616,484]= 1/6776

Therefore, the GCF of 511/616,782/484 is 1/6776.

Greatest Common Factor of 511,782

To find the highest common factor of 511,782, we have to find the factors of both numbers and list the highest common factor.

The factors of 511 are 1, 7, 73, 511

The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782

The HCF of 511,782 is 1.

Lets's calculate GCF of 511,782

Greatest Common Factor (GCF) of 511,782 By Common Division

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

Greatest Common Factor of 511,782 By Matching Biggest Common Factor Method

Now, list down the factors of 511

1,7,73,511

Now, list down the factors of 782

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 511,782 . The biggest common factor number is the GCF number.
So the greatest common factor 511,782 is 1.

Lets's calculate LCM of 616,484

Lowest Common Multiple of 616,484 using Common Division

2	616, 484
2	308, 242
11	154, 121
	14, 11

∴ So the LCM of the given numbers is 2 x 2 x 11 x 14 x 11 = 6776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6776

Therefore, the GCF of Fractions 511/616,782/484 is 1/6776

Least Common Multiple of 616,484 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 616,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,484) = 44

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

GCF(616,484) x common factors =44 x 1 = 44

LCM(616,484) = ( 616 × 484 ) / 44

LCM(616,484) = 298144 / 44

LCM(616,484) = 6776

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FAQs on GCF of Fractions of 511/616, 782/484

1. What is the HCF of 511,782?

The HCF of 511,782 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 511/616, 782/484?

Answer: GCF of Numerators as per given numbers 511/616, 782/484 is

GCF of Numerators i.e. for 511,782 is 1

LCM of denominators i.e. for 616,484 is 6776.

Thus, GCF of Fractions is 1/6776.Finally, GCF of Fractions for 511/616, 782/484 is 1/6776.