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GCF of 173/88, 711/412

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 173/88, 711/412 i.e 1/9064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 173/88, 711/412.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 173/88,711/412?

Given fractions are 173/88,711/412

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 173/88,711/412, numerators are 173,711

Denominators are 88,412

The GCF of 173,711 is 1 .

LCM of 88,412 is 9064.

The greatest common factor of 173/88,711/412 = [GCF of 173,711]/[LCM of 88,412]= 1/9064

Therefore, the GCF of 173/88,711/412 is 1/9064.

Greatest Common Factor of 173,711

To find the highest common factor of 173,711, we have to find the factors of both numbers and list the highest common factor.

The factors of 173 are 1, 173

The factors of 711 are 1, 3, 9, 79, 237, 711

The HCF of 173,711 is 1.

Lets's calculate GCF of 173,711

Greatest Common Factor (GCF) of 173,711 By Common Division

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

Greatest Common Factor of 173,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,711 By Matching Biggest Common Factor Method

Now, list down the factors of 173

:

1,173

Now, list down the factors of 711

:

1,3,9,79,237,711

Greatest Common Factor

We found the factors 173,711 . The biggest common factor number is the GCF number.
So the greatest common factor 173,711 is 1.

Lets's calculate LCM of 88,412

Lowest Common Multiple of 88,412 using Common Division

2 88, 412
2 44, 206
22, 103

∴ So the LCM of the given numbers is 2 x 2 x 22 x 103 = 9064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9064

Therefore, the GCF of Fractions 173/88,711/412 is 1/9064

Least Common Multiple of 88,412 with GCF Formula

Least Common Multiple of 88,412 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,412) = 4

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

GCF(88,412) x common factors =4 x 1 = 4

LCM(88,412) = ( 88 × 412 ) / 4

LCM(88,412) = 36256 / 4

LCM(88,412) = 9064


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FAQs on GCF of Fractions of 173/88, 711/412

1. What is the HCF of 173,711?

The HCF of 173,711 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 173/88, 711/412?

Answer: GCF of Numerators as per given numbers 173/88, 711/412 is

GCF of Numerators i.e. for 173,711 is 1

LCM of denominators i.e. for 88,412 is 9064.

Thus, GCF of Fractions is 1/9064.Finally, GCF of Fractions for 173/88, 711/412 is 1/9064.