How to Find GCF of 6427/685, 2210/349?

GCF of 6427/685, 2210/349

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 6427/685, 2210/349 i.e 1/239065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6427/685, 2210/349.

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 6427/685,2210/349?

Given fractions are 6427/685,2210/349

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 6427/685,2210/349, numerators are 6427,2210

Denominators are 685,349

The GCF of 6427,2210 is 1 .

LCM of 685,349 is 239065.

The greatest common factor of 6427/685,2210/349 = [GCF of 6427,2210]/[LCM of 685,349]= 1/239065

Therefore, the GCF of 6427/685,2210/349 is 1/239065.

Greatest Common Factor of 6427,2210

To find the highest common factor of 6427,2210, we have to find the factors of both numbers and list the highest common factor.

The factors of 6427 are 1, 6427

The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210

The HCF of 6427,2210 is 1.

Lets's calculate GCF of 6427,2210

Greatest Common Factor (GCF) of 6427,2210 By Common Division

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

Greatest Common Factor of 6427,2210 By Matching Biggest Common Factor Method

Now, list down the factors of 6427

1,6427

Now, list down the factors of 2210

1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210

Greatest Common Factor

We found the factors 6427,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 6427,2210 is 1.

Lets's calculate LCM of 685,349

Lowest Common Multiple of 685,349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 239065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239065

Therefore, the GCF of Fractions 6427/685,2210/349 is 1/239065

Least Common Multiple of 685,349 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 685,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,349) = 1

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

GCF(685,349) x common factors =1 x 1 = 1

LCM(685,349) = ( 685 × 349 ) / 1

LCM(685,349) = 239065 / 1

LCM(685,349) = 239065

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FAQs on GCF of Fractions of 6427/685, 2210/349

1. What is the HCF of 6427,2210?

The HCF of 6427,2210 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 6427/685, 2210/349?

Answer: GCF of Numerators as per given numbers 6427/685, 2210/349 is

GCF of Numerators i.e. for 6427,2210 is 1

LCM of denominators i.e. for 685,349 is 239065.

Thus, GCF of Fractions is 1/239065.Finally, GCF of Fractions for 6427/685, 2210/349 is 1/239065.