How to Find GCF of 86/212, 455/253, 677/348?

GCF of 86/212, 455/253, 677/348

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 86/212, 455/253, 677/348 i.e 1/4666332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/212, 455/253, 677/348.

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 86/212,455/253,677/348?

Given fractions are 86/212,455/253,677/348

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 86/212,455/253,677/348, numerators are 86,455,677

Denominators are 212,253,348

The GCF of 86,455,677 is 1 .

LCM of 212,253,348 is 4666332.

The greatest common factor of 86/212,455/253,677/348 = [GCF of 86,455,677]/[LCM of 212,253,348]= 1/4666332

Therefore, the GCF of 86/212,455/253,677/348 is 1/4666332.

Greatest Common Factor of 86,455,677

To find the highest common factor of 86,455,677, we have to find the factors of both numbers and list the highest common factor.

The factors of 86 are 1, 2, 43, 86

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455

The factors of 677 are 1, 677

The HCF of 86,455,677 is 1.

Lets's calculate GCF of 86,455,677

Greatest Common Factor (GCF) of 86,455,677 By Common Division

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

Greatest Common Factor of 86,455,677 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 455

1,5,7,13,35,65,91,455

Now, list down the factors of 677

1,677

Greatest Common Factor

We found the factors 86,455,677 . The biggest common factor number is the GCF number.
So the greatest common factor 86,455,677 is 1.

Lets's calculate LCM of 212,253,348

Lowest Common Multiple of 212,253,348 using Common Division

2	212, 253, 348
2	106, 253, 174
	53, 253, 87

∴ So the LCM of the given numbers is 2 x 2 x 53 x 253 x 87 = 4666332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4666332

Therefore, the GCF of Fractions 86/212,455/253,677/348 is 1/4666332

Least Common Multiple of 212,253,348 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 212,253,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,253,348) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(212,253,348) x common factors =1 x 4 = 4

LCM(212,253,348) = ( 212 × 253 × 348 ) / 4

LCM(212,253,348) = 18665328 / 4

LCM(212,253,348) = 4666332

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FAQs on GCF of Fractions of 86/212, 455/253, 677/348

1. What is the HCF of 86,455,677?

The HCF of 86,455,677 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 86/212, 455/253, 677/348?

Answer: GCF of Numerators as per given numbers 86/212, 455/253, 677/348 is

GCF of Numerators i.e. for 86,455,677 is 1

LCM of denominators i.e. for 212,253,348 is 4666332.

Thus, GCF of Fractions is 1/4666332.Finally, GCF of Fractions for 86/212, 455/253, 677/348 is 1/4666332.