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GCF of 160/108, 429/682

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 160/108, 429/682 i.e 1/36828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 160/108, 429/682.

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 160/108,429/682?

Given fractions are 160/108,429/682

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 160/108,429/682, numerators are 160,429

Denominators are 108,682

The GCF of 160,429 is 1 .

LCM of 108,682 is 36828.

The greatest common factor of 160/108,429/682 = [GCF of 160,429]/[LCM of 108,682]= 1/36828

Therefore, the GCF of 160/108,429/682 is 1/36828.

Greatest Common Factor of 160,429

To find the highest common factor of 160,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 160,429 is 1.

Lets's calculate GCF of 160,429

Greatest Common Factor (GCF) of 160,429 By Common Division

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

Greatest Common Factor of 160,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,429 By Matching Biggest Common Factor Method

Now, list down the factors of 160

:

1,2,4,5,8,10,16,20,32,40,80,160

Now, list down the factors of 429

:

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 160,429 . The biggest common factor number is the GCF number.
So the greatest common factor 160,429 is 1.

Lets's calculate LCM of 108,682

Lowest Common Multiple of 108,682 using Common Division

2 108, 682
54, 341

∴ So the LCM of the given numbers is 2 x 54 x 341 = 36828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36828

Therefore, the GCF of Fractions 160/108,429/682 is 1/36828

Least Common Multiple of 108,682 with GCF Formula

Least Common Multiple of 108,682 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 108,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,682) = 2

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

GCF(108,682) x common factors =2 x 1 = 2

LCM(108,682) = ( 108 × 682 ) / 2

LCM(108,682) = 73656 / 2

LCM(108,682) = 36828


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FAQs on GCF of Fractions of 160/108, 429/682

1. What is the HCF of 160,429?

The HCF of 160,429 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 160/108, 429/682?

Answer: GCF of Numerators as per given numbers 160/108, 429/682 is

GCF of Numerators i.e. for 160,429 is 1

LCM of denominators i.e. for 108,682 is 36828.

Thus, GCF of Fractions is 1/36828.Finally, GCF of Fractions for 160/108, 429/682 is 1/36828.