How to Find GCF of 429/667, 7348/426?

GCF of 429/667, 7348/426

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 429/667, 7348/426 i.e 11/284142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/667, 7348/426.

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 429/667,7348/426?

Given fractions are 429/667,7348/426

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 429/667,7348/426, numerators are 429,7348

Denominators are 667,426

The GCF of 429,7348 is 11 .

LCM of 667,426 is 284142.

The greatest common factor of 429/667,7348/426 = [GCF of 429,7348]/[LCM of 667,426]= 11/284142

Therefore, the GCF of 429/667,7348/426 is 11/284142.

Greatest Common Factor of 429,7348

To find the highest common factor of 429,7348, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348

The HCF of 429,7348 is 11.

Lets's calculate GCF of 429,7348

Greatest Common Factor (GCF) of 429,7348 By Common Division

11	429, 7348
	39, 668

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 429,7348 By Matching Biggest Common Factor Method

Now, list down the factors of 429

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

Now, list down the factors of 7348

1,2,4,11,22,44,167,334,668,1837,3674,7348

Greatest Common Factor

We found the factors 429,7348 . The biggest common factor number is the GCF number.
So the greatest common factor 429,7348 is 11.

Lets's calculate LCM of 667,426

Lowest Common Multiple of 667,426 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 284142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/284142

Therefore, the GCF of Fractions 429/667,7348/426 is 11/284142

Least Common Multiple of 667,426 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 667,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,426) = 1

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

GCF(667,426) x common factors =1 x 1 = 1

LCM(667,426) = ( 667 × 426 ) / 1

LCM(667,426) = 284142 / 1

LCM(667,426) = 284142

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FAQs on GCF of Fractions of 429/667, 7348/426

1. What is the HCF of 429,7348?

The HCF of 429,7348 is 11

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 429/667, 7348/426?

Answer: GCF of Numerators as per given numbers 429/667, 7348/426 is

GCF of Numerators i.e. for 429,7348 is 11

LCM of denominators i.e. for 667,426 is 284142.

Thus, GCF of Fractions is 11/284142.Finally, GCF of Fractions for 429/667, 7348/426 is 11/284142.