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GCF of 685/168, 638/614

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 685/168, 638/614 i.e 1/51576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 685/168, 638/614.

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 685/168,638/614?

Given fractions are 685/168,638/614

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 685/168,638/614, numerators are 685,638

Denominators are 168,614

The GCF of 685,638 is 1 .

LCM of 168,614 is 51576.

The greatest common factor of 685/168,638/614 = [GCF of 685,638]/[LCM of 168,614]= 1/51576

Therefore, the GCF of 685/168,638/614 is 1/51576.

Greatest Common Factor of 685,638

To find the highest common factor of 685,638, 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 638 are 1, 2, 11, 22, 29, 58, 319, 638

The HCF of 685,638 is 1.

Lets's calculate GCF of 685,638

Greatest Common Factor (GCF) of 685,638 By Common Division

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

Greatest Common Factor of 685,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,638 By Matching Biggest Common Factor Method

Now, list down the factors of 685

:

1,5,137,685

Now, list down the factors of 638

:

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 685,638 . The biggest common factor number is the GCF number.
So the greatest common factor 685,638 is 1.

Lets's calculate LCM of 168,614

Lowest Common Multiple of 168,614 using Common Division

2 168, 614
84, 307

∴ So the LCM of the given numbers is 2 x 84 x 307 = 51576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51576

Therefore, the GCF of Fractions 685/168,638/614 is 1/51576

Least Common Multiple of 168,614 with GCF Formula

Least Common Multiple of 168,614 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 168,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,614) = 2

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

GCF(168,614) x common factors =2 x 1 = 2

LCM(168,614) = ( 168 × 614 ) / 2

LCM(168,614) = 103152 / 2

LCM(168,614) = 51576


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FAQs on GCF of Fractions of 685/168, 638/614

1. What is the HCF of 685,638?

The HCF of 685,638 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 685/168, 638/614?

Answer: GCF of Numerators as per given numbers 685/168, 638/614 is

GCF of Numerators i.e. for 685,638 is 1

LCM of denominators i.e. for 168,614 is 51576.

Thus, GCF of Fractions is 1/51576.Finally, GCF of Fractions for 685/168, 638/614 is 1/51576.