How to Find GCF of 9494/340, 2347/6150?

GCF of 9494/340, 2347/6150

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 9494/340, 2347/6150 i.e 1/209100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9494/340, 2347/6150.

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 9494/340,2347/6150?

Given fractions are 9494/340,2347/6150

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 9494/340,2347/6150, numerators are 9494,2347

Denominators are 340,6150

The GCF of 9494,2347 is 1 .

LCM of 340,6150 is 209100.

The greatest common factor of 9494/340,2347/6150 = [GCF of 9494,2347]/[LCM of 340,6150]= 1/209100

Therefore, the GCF of 9494/340,2347/6150 is 1/209100.

Greatest Common Factor of 9494,2347

To find the highest common factor of 9494,2347, we have to find the factors of both numbers and list the highest common factor.

The factors of 9494 are 1, 2, 47, 94, 101, 202, 4747, 9494

The factors of 2347 are 1, 2347

The HCF of 9494,2347 is 1.

Lets's calculate GCF of 9494,2347

Greatest Common Factor (GCF) of 9494,2347 By Common Division

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

Greatest Common Factor of 9494,2347 By Matching Biggest Common Factor Method

Now, list down the factors of 9494

1,2,47,94,101,202,4747,9494

Now, list down the factors of 2347

1,2347

Greatest Common Factor

We found the factors 9494,2347 . The biggest common factor number is the GCF number.
So the greatest common factor 9494,2347 is 1.

Lets's calculate LCM of 340,6150

Lowest Common Multiple of 340,6150 using Common Division

2	340, 6150
5	170, 3075
	34, 615

∴ So the LCM of the given numbers is 2 x 5 x 34 x 615 = 209100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209100

Therefore, the GCF of Fractions 9494/340,2347/6150 is 1/209100

Least Common Multiple of 340,6150 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 340,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,6150) = 10

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

GCF(340,6150) x common factors =10 x 1 = 10

LCM(340,6150) = ( 340 × 6150 ) / 10

LCM(340,6150) = 2091000 / 10

LCM(340,6150) = 209100

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FAQs on GCF of Fractions of 9494/340, 2347/6150

1. What is the HCF of 9494,2347?

The HCF of 9494,2347 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 9494/340, 2347/6150?

Answer: GCF of Numerators as per given numbers 9494/340, 2347/6150 is

GCF of Numerators i.e. for 9494,2347 is 1

LCM of denominators i.e. for 340,6150 is 209100.

Thus, GCF of Fractions is 1/209100.Finally, GCF of Fractions for 9494/340, 2347/6150 is 1/209100.