How to Find GCF of 23/11, 157/87, 358/411?

GCF of 23/11, 157/87, 358/411

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 23/11, 157/87, 358/411 i.e 1/131109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/11, 157/87, 358/411.

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 23/11,157/87,358/411?

Given fractions are 23/11,157/87,358/411

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 23/11,157/87,358/411, numerators are 23,157,358

Denominators are 11,87,411

The GCF of 23,157,358 is 1 .

LCM of 11,87,411 is 131109.

The greatest common factor of 23/11,157/87,358/411 = [GCF of 23,157,358]/[LCM of 11,87,411]= 1/131109

Therefore, the GCF of 23/11,157/87,358/411 is 1/131109.

Greatest Common Factor of 23,157,358

To find the highest common factor of 23,157,358, we have to find the factors of both numbers and list the highest common factor.

The factors of 23 are 1, 23

The factors of 157 are 1, 157

The factors of 358 are 1, 2, 179, 358

The HCF of 23,157,358 is 1.

Lets's calculate GCF of 23,157,358

Greatest Common Factor (GCF) of 23,157,358 By Common Division

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

Greatest Common Factor of 23,157,358 By Matching Biggest Common Factor Method

Now, list down the factors of 23

1,23

Now, list down the factors of 157

1,157

Now, list down the factors of 358

1,2,179,358

Greatest Common Factor

We found the factors 23,157,358 . The biggest common factor number is the GCF number.
So the greatest common factor 23,157,358 is 1.

Lets's calculate LCM of 11,87,411

Lowest Common Multiple of 11,87,411 using Common Division

3	11, 87, 411
	11, 29, 137

∴ So the LCM of the given numbers is 3 x 11 x 29 x 137 = 131109

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131109

Therefore, the GCF of Fractions 23/11,157/87,358/411 is 1/131109

Least Common Multiple of 11,87,411 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 11,87,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,87,411) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(11,87,411) x common factors =1 x 3 = 3

LCM(11,87,411) = ( 11 × 87 × 411 ) / 3

LCM(11,87,411) = 393327 / 3

LCM(11,87,411) = 131109

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FAQs on GCF of Fractions of 23/11, 157/87, 358/411

1. What is the HCF of 23,157,358?

The HCF of 23,157,358 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 23/11, 157/87, 358/411?

Answer: GCF of Numerators as per given numbers 23/11, 157/87, 358/411 is

GCF of Numerators i.e. for 23,157,358 is 1

LCM of denominators i.e. for 11,87,411 is 131109.

Thus, GCF of Fractions is 1/131109.Finally, GCF of Fractions for 23/11, 157/87, 358/411 is 1/131109.