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GCF of 685/29, 211/642

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 685/29, 211/642 i.e 1/18618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 685/29, 211/642.

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 685/29,211/642?

Given fractions are 685/29,211/642

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 685/29,211/642, numerators are 685,211

Denominators are 29,642

The GCF of 685,211 is 1 .

LCM of 29,642 is 18618.

The greatest common factor of 685/29,211/642 = [GCF of 685,211]/[LCM of 29,642]= 1/18618

Therefore, the GCF of 685/29,211/642 is 1/18618.

Greatest Common Factor of 685,211

To find the highest common factor of 685,211, we have to find the factors of both numbers and list the highest common factor.

The factors of 685 are 1, 5, 137, 685

The factors of 211 are 1, 211

The HCF of 685,211 is 1.

Lets's calculate GCF of 685,211

Greatest Common Factor (GCF) of 685,211 By Common Division

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

Greatest Common Factor of 685,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,211 By Matching Biggest Common Factor Method

Now, list down the factors of 685

:

1,5,137,685

Now, list down the factors of 211

:

1,211

Greatest Common Factor

We found the factors 685,211 . The biggest common factor number is the GCF number.
So the greatest common factor 685,211 is 1.

Lets's calculate LCM of 29,642

Lowest Common Multiple of 29,642 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 18618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18618

Therefore, the GCF of Fractions 685/29,211/642 is 1/18618

Least Common Multiple of 29,642 with GCF Formula

Least Common Multiple of 29,642 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 29,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,642) = 1

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

GCF(29,642) x common factors =1 x 1 = 1

LCM(29,642) = ( 29 × 642 ) / 1

LCM(29,642) = 18618 / 1

LCM(29,642) = 18618


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FAQs on GCF of Fractions of 685/29, 211/642

1. What is the HCF of 685,211?

The HCF of 685,211 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 685/29, 211/642?

Answer: GCF of Numerators as per given numbers 685/29, 211/642 is

GCF of Numerators i.e. for 685,211 is 1

LCM of denominators i.e. for 29,642 is 18618.

Thus, GCF of Fractions is 1/18618.Finally, GCF of Fractions for 685/29, 211/642 is 1/18618.