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GCF of 429/934, 8524/188

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 429/934, 8524/188 i.e 1/87796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/934, 8524/188.

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 429/934,8524/188?

Given fractions are 429/934,8524/188

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 429/934,8524/188, numerators are 429,8524

Denominators are 934,188

The GCF of 429,8524 is 1 .

LCM of 934,188 is 87796.

The greatest common factor of 429/934,8524/188 = [GCF of 429,8524]/[LCM of 934,188]= 1/87796

Therefore, the GCF of 429/934,8524/188 is 1/87796.

Greatest Common Factor of 429,8524

To find the highest common factor of 429,8524, 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 8524 are 1, 2, 4, 2131, 4262, 8524

The HCF of 429,8524 is 1.

Lets's calculate GCF of 429,8524

Greatest Common Factor (GCF) of 429,8524 By Common Division

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

Greatest Common Factor of 429,8524 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,8524 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 8524

:

1,2,4,2131,4262,8524

Greatest Common Factor

We found the factors 429,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 429,8524 is 1.

Lets's calculate LCM of 934,188

Lowest Common Multiple of 934,188 using Common Division

2 934, 188
467, 94

∴ So the LCM of the given numbers is 2 x 467 x 94 = 87796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87796

Therefore, the GCF of Fractions 429/934,8524/188 is 1/87796

Least Common Multiple of 934,188 with GCF Formula

Least Common Multiple of 934,188 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 934,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,188) = 2

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

GCF(934,188) x common factors =2 x 1 = 2

LCM(934,188) = ( 934 × 188 ) / 2

LCM(934,188) = 175592 / 2

LCM(934,188) = 87796


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FAQs on GCF of Fractions of 429/934, 8524/188

1. What is the HCF of 429,8524?

The HCF of 429,8524 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 429/934, 8524/188?

Answer: GCF of Numerators as per given numbers 429/934, 8524/188 is

GCF of Numerators i.e. for 429,8524 is 1

LCM of denominators i.e. for 934,188 is 87796.

Thus, GCF of Fractions is 1/87796.Finally, GCF of Fractions for 429/934, 8524/188 is 1/87796.