How to Find GCF of 58/68, 76/95, 786/929?

GCF of 58/68, 76/95, 786/929

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 58/68, 76/95, 786/929 i.e 2/6001340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/68, 76/95, 786/929.

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 58/68,76/95,786/929?

Given fractions are 58/68,76/95,786/929

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 58/68,76/95,786/929, numerators are 58,76,786

Denominators are 68,95,929

The GCF of 58,76,786 is 2 .

LCM of 68,95,929 is 6001340.

The greatest common factor of 58/68,76/95,786/929 = [GCF of 58,76,786]/[LCM of 68,95,929]= 2/6001340

Therefore, the GCF of 58/68,76/95,786/929 is 2/6001340.

Greatest Common Factor of 58,76,786

To find the highest common factor of 58,76,786, we have to find the factors of both numbers and list the highest common factor.

The factors of 58 are 1, 2, 29, 58

The factors of 76 are 1, 2, 4, 19, 38, 76

The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786

The HCF of 58,76,786 is 2.

Lets's calculate GCF of 58,76,786

Greatest Common Factor (GCF) of 58,76,786 By Common Division

2	58, 76, 786
	29, 38, 393

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

Greatest Common Factor of 58,76,786 By Matching Biggest Common Factor Method

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 786

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 58,76,786 . The biggest common factor number is the GCF number.
So the greatest common factor 58,76,786 is 2.

Lets's calculate LCM of 68,95,929

Lowest Common Multiple of 68,95,929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6001340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6001340

Therefore, the GCF of Fractions 58/68,76/95,786/929 is 2/6001340

Least Common Multiple of 68,95,929 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 68,95,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,95,929) = 1

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

GCF(68,95,929) x common factors =1 x 1 = 1

LCM(68,95,929) = ( 68 × 95 × 929 ) / 1

LCM(68,95,929) = 6001340 / 1

LCM(68,95,929) = 6001340

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 58/68, 76/95, 786/929

1. What is the HCF of 58,76,786?

The HCF of 58,76,786 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 58/68, 76/95, 786/929?

Answer: GCF of Numerators as per given numbers 58/68, 76/95, 786/929 is

GCF of Numerators i.e. for 58,76,786 is 2

LCM of denominators i.e. for 68,95,929 is 6001340.

Thus, GCF of Fractions is 2/6001340.Finally, GCF of Fractions for 58/68, 76/95, 786/929 is 2/6001340.