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GCF of 7414/146, 9173/506

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 7414/146, 9173/506 i.e 1/36938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7414/146, 9173/506.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7414/146,9173/506?

Given fractions are 7414/146,9173/506

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 7414/146,9173/506, numerators are 7414,9173

Denominators are 146,506

The GCF of 7414,9173 is 1 .

LCM of 146,506 is 36938.

The greatest common factor of 7414/146,9173/506 = [GCF of 7414,9173]/[LCM of 146,506]= 1/36938

Therefore, the GCF of 7414/146,9173/506 is 1/36938.

Greatest Common Factor of 7414,9173

To find the highest common factor of 7414,9173, we have to find the factors of both numbers and list the highest common factor.

The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414

The factors of 9173 are 1, 9173

The HCF of 7414,9173 is 1.

Lets's calculate GCF of 7414,9173

Greatest Common Factor (GCF) of 7414,9173 By Common Division

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

Greatest Common Factor of 7414,9173 By Matching Biggest Common Factor Method

Greatest Common Factor of 7414,9173 By Matching Biggest Common Factor Method

Now, list down the factors of 7414

:

1,2,11,22,337,674,3707,7414

Now, list down the factors of 9173

:

1,9173

Greatest Common Factor

We found the factors 7414,9173 . The biggest common factor number is the GCF number.
So the greatest common factor 7414,9173 is 1.

Lets's calculate LCM of 146,506

Lowest Common Multiple of 146,506 using Common Division

2 146, 506
73, 253

∴ So the LCM of the given numbers is 2 x 73 x 253 = 36938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36938

Therefore, the GCF of Fractions 7414/146,9173/506 is 1/36938

Least Common Multiple of 146,506 with GCF Formula

Least Common Multiple of 146,506 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 146,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,506) = 2

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

GCF(146,506) x common factors =2 x 1 = 2

LCM(146,506) = ( 146 × 506 ) / 2

LCM(146,506) = 73876 / 2

LCM(146,506) = 36938


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FAQs on GCF of Fractions of 7414/146, 9173/506

1. What is the HCF of 7414,9173?

The HCF of 7414,9173 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 7414/146, 9173/506?

Answer: GCF of Numerators as per given numbers 7414/146, 9173/506 is

GCF of Numerators i.e. for 7414,9173 is 1

LCM of denominators i.e. for 146,506 is 36938.

Thus, GCF of Fractions is 1/36938.Finally, GCF of Fractions for 7414/146, 9173/506 is 1/36938.