How to Find GCF of 77/885, 40/105, 677/215?

GCF of 77/885, 40/105, 677/215

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 77/885, 40/105, 677/215 i.e 1/266385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/885, 40/105, 677/215.

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 77/885,40/105,677/215?

Given fractions are 77/885,40/105,677/215

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 77/885,40/105,677/215, numerators are 77,40,677

Denominators are 885,105,215

The GCF of 77,40,677 is 1 .

LCM of 885,105,215 is 266385.

The greatest common factor of 77/885,40/105,677/215 = [GCF of 77,40,677]/[LCM of 885,105,215]= 1/266385

Therefore, the GCF of 77/885,40/105,677/215 is 1/266385.

Greatest Common Factor of 77,40,677

To find the highest common factor of 77,40,677, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 677 are 1, 677

The HCF of 77,40,677 is 1.

Lets's calculate GCF of 77,40,677

Greatest Common Factor (GCF) of 77,40,677 By Common Division

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

Greatest Common Factor of 77,40,677 By Matching Biggest Common Factor Method

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 677

1,677

Greatest Common Factor

We found the factors 77,40,677 . The biggest common factor number is the GCF number.
So the greatest common factor 77,40,677 is 1.

Lets's calculate LCM of 885,105,215

Lowest Common Multiple of 885,105,215 using Common Division

3	885, 105, 215
5	295, 35, 215
	59, 7, 43

∴ So the LCM of the given numbers is 3 x 5 x 59 x 7 x 43 = 266385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266385

Therefore, the GCF of Fractions 77/885,40/105,677/215 is 1/266385

Least Common Multiple of 885,105,215 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 885,105,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,105,215) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(885,105,215) x common factors =5 x 15 = 75

LCM(885,105,215) = ( 885 × 105 × 215 ) / 75

LCM(885,105,215) = 19978875 / 75

LCM(885,105,215) = 266385

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FAQs on GCF of Fractions of 77/885, 40/105, 677/215

1. What is the HCF of 77,40,677?

The HCF of 77,40,677 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 77/885, 40/105, 677/215?

Answer: GCF of Numerators as per given numbers 77/885, 40/105, 677/215 is

GCF of Numerators i.e. for 77,40,677 is 1

LCM of denominators i.e. for 885,105,215 is 266385.

Thus, GCF of Fractions is 1/266385.Finally, GCF of Fractions for 77/885, 40/105, 677/215 is 1/266385.