How to Find GCF of 4611/974, 6149/9350?

GCF of 4611/974, 6149/9350

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 4611/974, 6149/9350 i.e 1/4553450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4611/974, 6149/9350.

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 4611/974,6149/9350?

Given fractions are 4611/974,6149/9350

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 4611/974,6149/9350, numerators are 4611,6149

Denominators are 974,9350

The GCF of 4611,6149 is 1 .

LCM of 974,9350 is 4553450.

The greatest common factor of 4611/974,6149/9350 = [GCF of 4611,6149]/[LCM of 974,9350]= 1/4553450

Therefore, the GCF of 4611/974,6149/9350 is 1/4553450.

Greatest Common Factor of 4611,6149

To find the highest common factor of 4611,6149, we have to find the factors of both numbers and list the highest common factor.

The factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611

The factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149

The HCF of 4611,6149 is 1.

Lets's calculate GCF of 4611,6149

Greatest Common Factor (GCF) of 4611,6149 By Common Division

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

Greatest Common Factor of 4611,6149 By Matching Biggest Common Factor Method

Now, list down the factors of 4611

1,3,29,53,87,159,1537,4611

Now, list down the factors of 6149

1,11,13,43,143,473,559,6149

Greatest Common Factor

We found the factors 4611,6149 . The biggest common factor number is the GCF number.
So the greatest common factor 4611,6149 is 1.

Lets's calculate LCM of 974,9350

Lowest Common Multiple of 974,9350 using Common Division

2	974, 9350
	487, 4675

∴ So the LCM of the given numbers is 2 x 487 x 4675 = 4553450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4553450

Therefore, the GCF of Fractions 4611/974,6149/9350 is 1/4553450

Least Common Multiple of 974,9350 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 974,9350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,9350) = 2

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

GCF(974,9350) x common factors =2 x 1 = 2

LCM(974,9350) = ( 974 × 9350 ) / 2

LCM(974,9350) = 9106900 / 2

LCM(974,9350) = 4553450

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4611/974, 6149/9350

1. What is the HCF of 4611,6149?

The HCF of 4611,6149 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 4611/974, 6149/9350?

Answer: GCF of Numerators as per given numbers 4611/974, 6149/9350 is

GCF of Numerators i.e. for 4611,6149 is 1

LCM of denominators i.e. for 974,9350 is 4553450.

Thus, GCF of Fractions is 1/4553450.Finally, GCF of Fractions for 4611/974, 6149/9350 is 1/4553450.