How to Find GCF of 31/88, 433/49, 673/594?

GCF of 31/88, 433/49, 673/594

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 31/88, 433/49, 673/594 i.e 1/116424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 31/88, 433/49, 673/594.

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 31/88,433/49,673/594?

Given fractions are 31/88,433/49,673/594

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 31/88,433/49,673/594, numerators are 31,433,673

Denominators are 88,49,594

The GCF of 31,433,673 is 1 .

LCM of 88,49,594 is 116424.

The greatest common factor of 31/88,433/49,673/594 = [GCF of 31,433,673]/[LCM of 88,49,594]= 1/116424

Therefore, the GCF of 31/88,433/49,673/594 is 1/116424.

Greatest Common Factor of 31,433,673

To find the highest common factor of 31,433,673, we have to find the factors of both numbers and list the highest common factor.

The factors of 31 are 1, 31

The factors of 433 are 1, 433

The factors of 673 are 1, 673

The HCF of 31,433,673 is 1.

Lets's calculate GCF of 31,433,673

Greatest Common Factor (GCF) of 31,433,673 By Common Division

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

Greatest Common Factor of 31,433,673 By Matching Biggest Common Factor Method

Now, list down the factors of 31

1,31

Now, list down the factors of 433

1,433

Now, list down the factors of 673

1,673

Greatest Common Factor

We found the factors 31,433,673 . The biggest common factor number is the GCF number.
So the greatest common factor 31,433,673 is 1.

Lets's calculate LCM of 88,49,594

Lowest Common Multiple of 88,49,594 using Common Division

2	88, 49, 594
11	44, 49, 297
	4, 49, 27

∴ So the LCM of the given numbers is 2 x 11 x 4 x 49 x 27 = 116424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116424

Therefore, the GCF of Fractions 31/88,433/49,673/594 is 1/116424

Least Common Multiple of 88,49,594 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 88,49,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,49,594) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(88,49,594) x common factors =1 x 22 = 22

LCM(88,49,594) = ( 88 × 49 × 594 ) / 22

LCM(88,49,594) = 2561328 / 22

LCM(88,49,594) = 116424

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FAQs on GCF of Fractions of 31/88, 433/49, 673/594

1. What is the HCF of 31,433,673?

The HCF of 31,433,673 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 31/88, 433/49, 673/594?

Answer: GCF of Numerators as per given numbers 31/88, 433/49, 673/594 is

GCF of Numerators i.e. for 31,433,673 is 1

LCM of denominators i.e. for 88,49,594 is 116424.

Thus, GCF of Fractions is 1/116424.Finally, GCF of Fractions for 31/88, 433/49, 673/594 is 1/116424.