How to Find GCF of 6277/338, 9306/189?

GCF of 6277/338, 9306/189

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 6277/338, 9306/189 i.e 1/63882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6277/338, 9306/189.

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 6277/338,9306/189?

Given fractions are 6277/338,9306/189

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 6277/338,9306/189, numerators are 6277,9306

Denominators are 338,189

The GCF of 6277,9306 is 1 .

LCM of 338,189 is 63882.

The greatest common factor of 6277/338,9306/189 = [GCF of 6277,9306]/[LCM of 338,189]= 1/63882

Therefore, the GCF of 6277/338,9306/189 is 1/63882.

Greatest Common Factor of 6277,9306

To find the highest common factor of 6277,9306, we have to find the factors of both numbers and list the highest common factor.

The factors of 6277 are 1, 6277

The factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306

The HCF of 6277,9306 is 1.

Lets's calculate GCF of 6277,9306

Greatest Common Factor (GCF) of 6277,9306 By Common Division

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

Greatest Common Factor of 6277,9306 By Matching Biggest Common Factor Method

Now, list down the factors of 6277

1,6277

Now, list down the factors of 9306

1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306

Greatest Common Factor

We found the factors 6277,9306 . The biggest common factor number is the GCF number.
So the greatest common factor 6277,9306 is 1.

Lets's calculate LCM of 338,189

Lowest Common Multiple of 338,189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 63882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63882

Therefore, the GCF of Fractions 6277/338,9306/189 is 1/63882

Least Common Multiple of 338,189 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 338,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,189) = 1

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

GCF(338,189) x common factors =1 x 1 = 1

LCM(338,189) = ( 338 × 189 ) / 1

LCM(338,189) = 63882 / 1

LCM(338,189) = 63882

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FAQs on GCF of Fractions of 6277/338, 9306/189

1. What is the HCF of 6277,9306?

The HCF of 6277,9306 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 6277/338, 9306/189?

Answer: GCF of Numerators as per given numbers 6277/338, 9306/189 is

GCF of Numerators i.e. for 6277,9306 is 1

LCM of denominators i.e. for 338,189 is 63882.

Thus, GCF of Fractions is 1/63882.Finally, GCF of Fractions for 6277/338, 9306/189 is 1/63882.