How to Find GCF of 4691/170, 7415/466?

GCF of 4691/170, 7415/466

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 4691/170, 7415/466 i.e 1/39610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4691/170, 7415/466.

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 4691/170,7415/466?

Given fractions are 4691/170,7415/466

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 4691/170,7415/466, numerators are 4691,7415

Denominators are 170,466

The GCF of 4691,7415 is 1 .

LCM of 170,466 is 39610.

The greatest common factor of 4691/170,7415/466 = [GCF of 4691,7415]/[LCM of 170,466]= 1/39610

Therefore, the GCF of 4691/170,7415/466 is 1/39610.

Greatest Common Factor of 4691,7415

To find the highest common factor of 4691,7415, we have to find the factors of both numbers and list the highest common factor.

The factors of 4691 are 1, 4691

The factors of 7415 are 1, 5, 1483, 7415

The HCF of 4691,7415 is 1.

Lets's calculate GCF of 4691,7415

Greatest Common Factor (GCF) of 4691,7415 By Common Division

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

Greatest Common Factor of 4691,7415 By Matching Biggest Common Factor Method

Now, list down the factors of 4691

1,4691

Now, list down the factors of 7415

1,5,1483,7415

Greatest Common Factor

We found the factors 4691,7415 . The biggest common factor number is the GCF number.
So the greatest common factor 4691,7415 is 1.

Lets's calculate LCM of 170,466

Lowest Common Multiple of 170,466 using Common Division

2	170, 466
	85, 233

∴ So the LCM of the given numbers is 2 x 85 x 233 = 39610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39610

Therefore, the GCF of Fractions 4691/170,7415/466 is 1/39610

Least Common Multiple of 170,466 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 170,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,466) = 2

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

GCF(170,466) x common factors =2 x 1 = 2

LCM(170,466) = ( 170 × 466 ) / 2

LCM(170,466) = 79220 / 2

LCM(170,466) = 39610

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FAQs on GCF of Fractions of 4691/170, 7415/466

1. What is the HCF of 4691,7415?

The HCF of 4691,7415 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 4691/170, 7415/466?

Answer: GCF of Numerators as per given numbers 4691/170, 7415/466 is

GCF of Numerators i.e. for 4691,7415 is 1

LCM of denominators i.e. for 170,466 is 39610.

Thus, GCF of Fractions is 1/39610.Finally, GCF of Fractions for 4691/170, 7415/466 is 1/39610.