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GCF of 429/382, 508/505

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 429/382, 508/505 i.e 1/192910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/382, 508/505.

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 429/382,508/505?

Given fractions are 429/382,508/505

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 429/382,508/505, numerators are 429,508

Denominators are 382,505

The GCF of 429,508 is 1 .

LCM of 382,505 is 192910.

The greatest common factor of 429/382,508/505 = [GCF of 429,508]/[LCM of 382,505]= 1/192910

Therefore, the GCF of 429/382,508/505 is 1/192910.

Greatest Common Factor of 429,508

To find the highest common factor of 429,508, 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 508 are 1, 2, 4, 127, 254, 508

The HCF of 429,508 is 1.

Lets's calculate GCF of 429,508

Greatest Common Factor (GCF) of 429,508 By Common Division

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

Greatest Common Factor of 429,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,508 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 508

:

1,2,4,127,254,508

Greatest Common Factor

We found the factors 429,508 . The biggest common factor number is the GCF number.
So the greatest common factor 429,508 is 1.

Lets's calculate LCM of 382,505

Lowest Common Multiple of 382,505 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 192910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192910

Therefore, the GCF of Fractions 429/382,508/505 is 1/192910

Least Common Multiple of 382,505 with GCF Formula

Least Common Multiple of 382,505 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 382,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,505) = 1

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

GCF(382,505) x common factors =1 x 1 = 1

LCM(382,505) = ( 382 × 505 ) / 1

LCM(382,505) = 192910 / 1

LCM(382,505) = 192910


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FAQs on GCF of Fractions of 429/382, 508/505

1. What is the HCF of 429,508?

The HCF of 429,508 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 429/382, 508/505?

Answer: GCF of Numerators as per given numbers 429/382, 508/505 is

GCF of Numerators i.e. for 429,508 is 1

LCM of denominators i.e. for 382,505 is 192910.

Thus, GCF of Fractions is 1/192910.Finally, GCF of Fractions for 429/382, 508/505 is 1/192910.