How to Find GCF of 17/429, 69/437, 374/676?

GCF of 17/429, 69/437, 374/676

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 17/429, 69/437, 374/676 i.e 1/9748596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/429, 69/437, 374/676.

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 17/429,69/437,374/676?

Given fractions are 17/429,69/437,374/676

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 17/429,69/437,374/676, numerators are 17,69,374

Denominators are 429,437,676

The GCF of 17,69,374 is 1 .

LCM of 429,437,676 is 9748596.

The greatest common factor of 17/429,69/437,374/676 = [GCF of 17,69,374]/[LCM of 429,437,676]= 1/9748596

Therefore, the GCF of 17/429,69/437,374/676 is 1/9748596.

Greatest Common Factor of 17,69,374

To find the highest common factor of 17,69,374, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 69 are 1, 3, 23, 69

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The HCF of 17,69,374 is 1.

Lets's calculate GCF of 17,69,374

Greatest Common Factor (GCF) of 17,69,374 By Common Division

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

Greatest Common Factor of 17,69,374 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 69

1,3,23,69

Now, list down the factors of 374

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 17,69,374 . The biggest common factor number is the GCF number.
So the greatest common factor 17,69,374 is 1.

Lets's calculate LCM of 429,437,676

Lowest Common Multiple of 429,437,676 using Common Division

13	429, 437, 676
	33, 437, 52

∴ So the LCM of the given numbers is 13 x 33 x 437 x 52 = 9748596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9748596

Therefore, the GCF of Fractions 17/429,69/437,374/676 is 1/9748596

Least Common Multiple of 429,437,676 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 429,437,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,437,676) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(429,437,676) x common factors =1 x 13 = 13

LCM(429,437,676) = ( 429 × 437 × 676 ) / 13

LCM(429,437,676) = 126731748 / 13

LCM(429,437,676) = 9748596

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FAQs on GCF of Fractions of 17/429, 69/437, 374/676

1. What is the HCF of 17,69,374?

The HCF of 17,69,374 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 17/429, 69/437, 374/676?

Answer: GCF of Numerators as per given numbers 17/429, 69/437, 374/676 is

GCF of Numerators i.e. for 17,69,374 is 1

LCM of denominators i.e. for 429,437,676 is 9748596.

Thus, GCF of Fractions is 1/9748596.Finally, GCF of Fractions for 17/429, 69/437, 374/676 is 1/9748596.