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GCF of 7466/172, 1699/8367

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 7466/172, 1699/8367 i.e 1/1439124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7466/172, 1699/8367.

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 7466/172,1699/8367?

Given fractions are 7466/172,1699/8367

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 7466/172,1699/8367, numerators are 7466,1699

Denominators are 172,8367

The GCF of 7466,1699 is 1 .

LCM of 172,8367 is 1439124.

The greatest common factor of 7466/172,1699/8367 = [GCF of 7466,1699]/[LCM of 172,8367]= 1/1439124

Therefore, the GCF of 7466/172,1699/8367 is 1/1439124.

Greatest Common Factor of 7466,1699

To find the highest common factor of 7466,1699, we have to find the factors of both numbers and list the highest common factor.

The factors of 7466 are 1, 2, 3733, 7466

The factors of 1699 are 1, 1699

The HCF of 7466,1699 is 1.

Lets's calculate GCF of 7466,1699

Greatest Common Factor (GCF) of 7466,1699 By Common Division

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

Greatest Common Factor of 7466,1699 By Matching Biggest Common Factor Method

Greatest Common Factor of 7466,1699 By Matching Biggest Common Factor Method

Now, list down the factors of 7466

:

1,2,3733,7466

Now, list down the factors of 1699

:

1,1699

Greatest Common Factor

We found the factors 7466,1699 . The biggest common factor number is the GCF number.
So the greatest common factor 7466,1699 is 1.

Lets's calculate LCM of 172,8367

Lowest Common Multiple of 172,8367 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1439124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1439124

Therefore, the GCF of Fractions 7466/172,1699/8367 is 1/1439124

Least Common Multiple of 172,8367 with GCF Formula

Least Common Multiple of 172,8367 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 172,8367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,8367) = 1

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

GCF(172,8367) x common factors =1 x 1 = 1

LCM(172,8367) = ( 172 × 8367 ) / 1

LCM(172,8367) = 1439124 / 1

LCM(172,8367) = 1439124


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FAQs on GCF of Fractions of 7466/172, 1699/8367

1. What is the HCF of 7466,1699?

The HCF of 7466,1699 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 7466/172, 1699/8367?

Answer: GCF of Numerators as per given numbers 7466/172, 1699/8367 is

GCF of Numerators i.e. for 7466,1699 is 1

LCM of denominators i.e. for 172,8367 is 1439124.

Thus, GCF of Fractions is 1/1439124.Finally, GCF of Fractions for 7466/172, 1699/8367 is 1/1439124.