LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 173/272, 682/760

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 173/272, 682/760 i.e 1/25840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 173/272, 682/760.

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 173/272,682/760?

Given fractions are 173/272,682/760

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 173/272,682/760, numerators are 173,682

Denominators are 272,760

The GCF of 173,682 is 1 .

LCM of 272,760 is 25840.

The greatest common factor of 173/272,682/760 = [GCF of 173,682]/[LCM of 272,760]= 1/25840

Therefore, the GCF of 173/272,682/760 is 1/25840.

Greatest Common Factor of 173,682

To find the highest common factor of 173,682, we have to find the factors of both numbers and list the highest common factor.

The factors of 173 are 1, 173

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682

The HCF of 173,682 is 1.

Lets's calculate GCF of 173,682

Greatest Common Factor (GCF) of 173,682 By Common Division

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

Greatest Common Factor of 173,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,682 By Matching Biggest Common Factor Method

Now, list down the factors of 173

:

1,173

Now, list down the factors of 682

:

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 173,682 . The biggest common factor number is the GCF number.
So the greatest common factor 173,682 is 1.

Lets's calculate LCM of 272,760

Lowest Common Multiple of 272,760 using Common Division

2 272, 760
2 136, 380
2 68, 190
34, 95

∴ So the LCM of the given numbers is 2 x 2 x 2 x 34 x 95 = 25840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25840

Therefore, the GCF of Fractions 173/272,682/760 is 1/25840

Least Common Multiple of 272,760 with GCF Formula

Least Common Multiple of 272,760 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 272,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,760) = 8

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

GCF(272,760) x common factors =8 x 1 = 8

LCM(272,760) = ( 272 × 760 ) / 8

LCM(272,760) = 206720 / 8

LCM(272,760) = 25840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 173/272, 682/760

1. What is the HCF of 173,682?

The HCF of 173,682 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 173/272, 682/760?

Answer: GCF of Numerators as per given numbers 173/272, 682/760 is

GCF of Numerators i.e. for 173,682 is 1

LCM of denominators i.e. for 272,760 is 25840.

Thus, GCF of Fractions is 1/25840.Finally, GCF of Fractions for 173/272, 682/760 is 1/25840.