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GCF of 429/280, 601/600

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 429/280, 601/600 i.e 1/4200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/280, 601/600.

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 429/280,601/600?

Given fractions are 429/280,601/600

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 429/280,601/600, numerators are 429,601

Denominators are 280,600

The GCF of 429,601 is 1 .

LCM of 280,600 is 4200.

The greatest common factor of 429/280,601/600 = [GCF of 429,601]/[LCM of 280,600]= 1/4200

Therefore, the GCF of 429/280,601/600 is 1/4200.

Greatest Common Factor of 429,601

To find the highest common factor of 429,601, 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 601 are 1, 601

The HCF of 429,601 is 1.

Lets's calculate GCF of 429,601

Greatest Common Factor (GCF) of 429,601 By Common Division

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

Greatest Common Factor of 429,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,601 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 601

:

1,601

Greatest Common Factor

We found the factors 429,601 . The biggest common factor number is the GCF number.
So the greatest common factor 429,601 is 1.

Lets's calculate LCM of 280,600

Lowest Common Multiple of 280,600 using Common Division

2 280, 600
2 140, 300
2 70, 150
5 35, 75
7, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 15 = 4200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4200

Therefore, the GCF of Fractions 429/280,601/600 is 1/4200

Least Common Multiple of 280,600 with GCF Formula

Least Common Multiple of 280,600 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 280,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,600) = 40

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

GCF(280,600) x common factors =40 x 1 = 40

LCM(280,600) = ( 280 × 600 ) / 40

LCM(280,600) = 168000 / 40

LCM(280,600) = 4200


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FAQs on GCF of Fractions of 429/280, 601/600

1. What is the HCF of 429,601?

The HCF of 429,601 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 429/280, 601/600?

Answer: GCF of Numerators as per given numbers 429/280, 601/600 is

GCF of Numerators i.e. for 429,601 is 1

LCM of denominators i.e. for 280,600 is 4200.

Thus, GCF of Fractions is 1/4200.Finally, GCF of Fractions for 429/280, 601/600 is 1/4200.