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GCF of 387/690, 335/430

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 387/690, 335/430 i.e 1/29670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 387/690, 335/430.

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 387/690,335/430?

Given fractions are 387/690,335/430

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 387/690,335/430, numerators are 387,335

Denominators are 690,430

The GCF of 387,335 is 1 .

LCM of 690,430 is 29670.

The greatest common factor of 387/690,335/430 = [GCF of 387,335]/[LCM of 690,430]= 1/29670

Therefore, the GCF of 387/690,335/430 is 1/29670.

Greatest Common Factor of 387,335

To find the highest common factor of 387,335, we have to find the factors of both numbers and list the highest common factor.

The factors of 387 are 1, 3, 9, 43, 129, 387

The factors of 335 are 1, 5, 67, 335

The HCF of 387,335 is 1.

Lets's calculate GCF of 387,335

Greatest Common Factor (GCF) of 387,335 By Common Division

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

Greatest Common Factor of 387,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,335 By Matching Biggest Common Factor Method

Now, list down the factors of 387

:

1,3,9,43,129,387

Now, list down the factors of 335

:

1,5,67,335

Greatest Common Factor

We found the factors 387,335 . The biggest common factor number is the GCF number.
So the greatest common factor 387,335 is 1.

Lets's calculate LCM of 690,430

Lowest Common Multiple of 690,430 using Common Division

2 690, 430
5 345, 215
69, 43

∴ So the LCM of the given numbers is 2 x 5 x 69 x 43 = 29670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29670

Therefore, the GCF of Fractions 387/690,335/430 is 1/29670

Least Common Multiple of 690,430 with GCF Formula

Least Common Multiple of 690,430 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 690,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,430) = 10

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

GCF(690,430) x common factors =10 x 1 = 10

LCM(690,430) = ( 690 × 430 ) / 10

LCM(690,430) = 296700 / 10

LCM(690,430) = 29670


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FAQs on GCF of Fractions of 387/690, 335/430

1. What is the HCF of 387,335?

The HCF of 387,335 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 387/690, 335/430?

Answer: GCF of Numerators as per given numbers 387/690, 335/430 is

GCF of Numerators i.e. for 387,335 is 1

LCM of denominators i.e. for 690,430 is 29670.

Thus, GCF of Fractions is 1/29670.Finally, GCF of Fractions for 387/690, 335/430 is 1/29670.