How to Find GCF of 86/707, 76/682, 787/244?

GCF of 86/707, 76/682, 787/244

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 86/707, 76/682, 787/244 i.e 1/58825228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/707, 76/682, 787/244.

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 86/707,76/682,787/244?

Given fractions are 86/707,76/682,787/244

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 86/707,76/682,787/244, numerators are 86,76,787

Denominators are 707,682,244

The GCF of 86,76,787 is 1 .

LCM of 707,682,244 is 58825228.

The greatest common factor of 86/707,76/682,787/244 = [GCF of 86,76,787]/[LCM of 707,682,244]= 1/58825228

Therefore, the GCF of 86/707,76/682,787/244 is 1/58825228.

Greatest Common Factor of 86,76,787

To find the highest common factor of 86,76,787, 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 76 are 1, 2, 4, 19, 38, 76

The factors of 787 are 1, 787

The HCF of 86,76,787 is 1.

Lets's calculate GCF of 86,76,787

Greatest Common Factor (GCF) of 86,76,787 By Common Division

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

Greatest Common Factor of 86,76,787 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 787

1,787

Greatest Common Factor

We found the factors 86,76,787 . The biggest common factor number is the GCF number.
So the greatest common factor 86,76,787 is 1.

Lets's calculate LCM of 707,682,244

Lowest Common Multiple of 707,682,244 using Common Division

2	707, 682, 244
	707, 341, 122

∴ So the LCM of the given numbers is 2 x 707 x 341 x 122 = 58825228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58825228

Therefore, the GCF of Fractions 86/707,76/682,787/244 is 1/58825228

Least Common Multiple of 707,682,244 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 707,682,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,682,244) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(707,682,244) x common factors =1 x 2 = 2

LCM(707,682,244) = ( 707 × 682 × 244 ) / 2

LCM(707,682,244) = 117650456 / 2

LCM(707,682,244) = 58825228

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 86/707, 76/682, 787/244

1. What is the HCF of 86,76,787?

The HCF of 86,76,787 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 86/707, 76/682, 787/244?

Answer: GCF of Numerators as per given numbers 86/707, 76/682, 787/244 is

GCF of Numerators i.e. for 86,76,787 is 1

LCM of denominators i.e. for 707,682,244 is 58825228.

Thus, GCF of Fractions is 1/58825228.Finally, GCF of Fractions for 86/707, 76/682, 787/244 is 1/58825228.