How to Find GCF of 86/897, 22/956, 905/140?

GCF of 86/897, 22/956, 905/140

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 86/897, 22/956, 905/140 i.e 1/30013620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/897, 22/956, 905/140.

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 86/897,22/956,905/140?

Given fractions are 86/897,22/956,905/140

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 86/897,22/956,905/140, numerators are 86,22,905

Denominators are 897,956,140

The GCF of 86,22,905 is 1 .

LCM of 897,956,140 is 30013620.

The greatest common factor of 86/897,22/956,905/140 = [GCF of 86,22,905]/[LCM of 897,956,140]= 1/30013620

Therefore, the GCF of 86/897,22/956,905/140 is 1/30013620.

Greatest Common Factor of 86,22,905

To find the highest common factor of 86,22,905, 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 22 are 1, 2, 11, 22

The factors of 905 are 1, 5, 181, 905

The HCF of 86,22,905 is 1.

Lets's calculate GCF of 86,22,905

Greatest Common Factor (GCF) of 86,22,905 By Common Division

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

Greatest Common Factor of 86,22,905 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 905

1,5,181,905

Greatest Common Factor

We found the factors 86,22,905 . The biggest common factor number is the GCF number.
So the greatest common factor 86,22,905 is 1.

Lets's calculate LCM of 897,956,140

Lowest Common Multiple of 897,956,140 using Common Division

2	897, 956, 140
2	897, 478, 70
	897, 239, 35

∴ So the LCM of the given numbers is 2 x 2 x 897 x 239 x 35 = 30013620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30013620

Therefore, the GCF of Fractions 86/897,22/956,905/140 is 1/30013620

Least Common Multiple of 897,956,140 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 897,956,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,956,140) = 1

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

GCF(897,956,140) x common factors =1 x 4 = 4

LCM(897,956,140) = ( 897 × 956 × 140 ) / 4

LCM(897,956,140) = 120054480 / 4

LCM(897,956,140) = 30013620

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 86/897, 22/956, 905/140

1. What is the HCF of 86,22,905?

The HCF of 86,22,905 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 86/897, 22/956, 905/140?

Answer: GCF of Numerators as per given numbers 86/897, 22/956, 905/140 is

GCF of Numerators i.e. for 86,22,905 is 1

LCM of denominators i.e. for 897,956,140 is 30013620.

Thus, GCF of Fractions is 1/30013620.Finally, GCF of Fractions for 86/897, 22/956, 905/140 is 1/30013620.