How to Find GCF of 92/89, 359/44, 813/237?

GCF of 92/89, 359/44, 813/237

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 92/89, 359/44, 813/237 i.e 1/928092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/89, 359/44, 813/237.

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 92/89,359/44,813/237?

Given fractions are 92/89,359/44,813/237

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 92/89,359/44,813/237, numerators are 92,359,813

Denominators are 89,44,237

The GCF of 92,359,813 is 1 .

LCM of 89,44,237 is 928092.

The greatest common factor of 92/89,359/44,813/237 = [GCF of 92,359,813]/[LCM of 89,44,237]= 1/928092

Therefore, the GCF of 92/89,359/44,813/237 is 1/928092.

Greatest Common Factor of 92,359,813

To find the highest common factor of 92,359,813, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 359 are 1, 359

The factors of 813 are 1, 3, 271, 813

The HCF of 92,359,813 is 1.

Lets's calculate GCF of 92,359,813

Greatest Common Factor (GCF) of 92,359,813 By Common Division

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

Greatest Common Factor of 92,359,813 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 359

1,359

Now, list down the factors of 813

1,3,271,813

Greatest Common Factor

We found the factors 92,359,813 . The biggest common factor number is the GCF number.
So the greatest common factor 92,359,813 is 1.

Lets's calculate LCM of 89,44,237

Lowest Common Multiple of 89,44,237 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 928092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/928092

Therefore, the GCF of Fractions 92/89,359/44,813/237 is 1/928092

Least Common Multiple of 89,44,237 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 89,44,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,44,237) = 1

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

GCF(89,44,237) x common factors =1 x 1 = 1

LCM(89,44,237) = ( 89 × 44 × 237 ) / 1

LCM(89,44,237) = 928092 / 1

LCM(89,44,237) = 928092

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FAQs on GCF of Fractions of 92/89, 359/44, 813/237

1. What is the HCF of 92,359,813?

The HCF of 92,359,813 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 92/89, 359/44, 813/237?

Answer: GCF of Numerators as per given numbers 92/89, 359/44, 813/237 is

GCF of Numerators i.e. for 92,359,813 is 1

LCM of denominators i.e. for 89,44,237 is 928092.

Thus, GCF of Fractions is 1/928092.Finally, GCF of Fractions for 92/89, 359/44, 813/237 is 1/928092.