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GCF of 692/20, 217/454

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 692/20, 217/454 i.e 1/4540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 692/20, 217/454.

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 692/20,217/454?

Given fractions are 692/20,217/454

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 692/20,217/454, numerators are 692,217

Denominators are 20,454

The GCF of 692,217 is 1 .

LCM of 20,454 is 4540.

The greatest common factor of 692/20,217/454 = [GCF of 692,217]/[LCM of 20,454]= 1/4540

Therefore, the GCF of 692/20,217/454 is 1/4540.

Greatest Common Factor of 692,217

To find the highest common factor of 692,217, we have to find the factors of both numbers and list the highest common factor.

The factors of 692 are 1, 2, 4, 173, 346, 692

The factors of 217 are 1, 7, 31, 217

The HCF of 692,217 is 1.

Lets's calculate GCF of 692,217

Greatest Common Factor (GCF) of 692,217 By Common Division

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

Greatest Common Factor of 692,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,217 By Matching Biggest Common Factor Method

Now, list down the factors of 692

:

1,2,4,173,346,692

Now, list down the factors of 217

:

1,7,31,217

Greatest Common Factor

We found the factors 692,217 . The biggest common factor number is the GCF number.
So the greatest common factor 692,217 is 1.

Lets's calculate LCM of 20,454

Lowest Common Multiple of 20,454 using Common Division

2 20, 454
10, 227

∴ So the LCM of the given numbers is 2 x 10 x 227 = 4540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4540

Therefore, the GCF of Fractions 692/20,217/454 is 1/4540

Least Common Multiple of 20,454 with GCF Formula

Least Common Multiple of 20,454 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 20,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,454) = 2

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

GCF(20,454) x common factors =2 x 1 = 2

LCM(20,454) = ( 20 × 454 ) / 2

LCM(20,454) = 9080 / 2

LCM(20,454) = 4540


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FAQs on GCF of Fractions of 692/20, 217/454

1. What is the HCF of 692,217?

The HCF of 692,217 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 692/20, 217/454?

Answer: GCF of Numerators as per given numbers 692/20, 217/454 is

GCF of Numerators i.e. for 692,217 is 1

LCM of denominators i.e. for 20,454 is 4540.

Thus, GCF of Fractions is 1/4540.Finally, GCF of Fractions for 692/20, 217/454 is 1/4540.